Basic Math Examples

$(\frac{7}{12 + \frac{9}{16 - 1}}) - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1

Find the common denominator.

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Step 1.1

To write $12$ as a fraction with a common denominator, multiply by $\frac{16 - 1}{16 - 1}$ .

$\frac{7}{\frac{12 (16 - 1)}{16 - 1} + \frac{9}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1.2

Combine the numerators over the common denominator.

$\frac{7}{\frac{12 (16 - 1) + 9}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1.3

Simplify the numerator.

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Step 1.3.1

Subtract $1$ from $16$ .

$\frac{7}{\frac{12 \cdot 15 + 9}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1.3.2

Multiply $12$ by $15$ .

$\frac{7}{\frac{180 + 9}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1.3.3

Add $180$ and $9$ .

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 - \frac{5}{8}}$

Step 1.4

To write $12$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{12 \cdot \frac{8}{8} - \frac{5}{8}}$

Step 1.5

Combine $12$ and $\frac{8}{8}$ .

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{\frac{12 \cdot 8}{8} - \frac{5}{8}}$

Step 1.6

Combine the numerators over the common denominator.

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{\frac{12 \cdot 8 - 5}{8}}$

Step 1.7

Simplify the numerator.

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Step 1.7.1

Multiply $12$ by $8$ .

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{\frac{96 - 5}{8}}$

Step 1.7.2

Subtract $5$ from $96$ .

$\frac{7}{\frac{189}{16 - 1}} - (\frac{51}{24 - 2}) + \frac{11}{\frac{91}{8}}$

Step 1.8

Multiply $\frac{7}{\frac{189}{16 - 1}}$ by $\frac{(24 - 2) \frac{91}{8}}{(24 - 2) \frac{91}{8}}$ .

$\frac{7}{\frac{189}{16 - 1}} \cdot \frac{(24 - 2) \frac{91}{8}}{(24 - 2) \frac{91}{8}} - (\frac{51}{24 - 2}) + \frac{11}{\frac{91}{8}}$

Step 1.9

Multiply $\frac{7}{\frac{189}{16 - 1}}$ by $\frac{(24 - 2) \frac{91}{8}}{(24 - 2) \frac{91}{8}}$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{189}{16 - 1} ((24 - 2) \frac{91}{8})} - (\frac{51}{24 - 2}) + \frac{11}{\frac{91}{8}}$

Step 1.10

Multiply $\frac{51}{24 - 2}$ by $\frac{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{189}{16 - 1} ((24 - 2) \frac{91}{8})} - (\frac{51}{24 - 2} \cdot \frac{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}) + \frac{11}{\frac{91}{8}}$

Step 1.11

Multiply $\frac{51}{24 - 2}$ by $\frac{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}{\frac{189 \cdot 91}{(16 - 1) \cdot 8}}$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{189}{16 - 1} ((24 - 2) \frac{91}{8})} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{(24 - 2) \frac{189 \cdot 91}{(16 - 1) \cdot 8}} + \frac{11}{\frac{91}{8}}$

Step 1.12

Multiply $\frac{11}{\frac{91}{8}}$ by $\frac{\frac{189}{16 - 1} (24 - 2)}{\frac{189}{16 - 1} (24 - 2)}$ .

Step 1.13

Multiply $\frac{11}{\frac{91}{8}}$ by $\frac{\frac{189}{16 - 1} (24 - 2)}{\frac{189}{16 - 1} (24 - 2)}$ .

Step 1.14

Reorder the factors of $\frac{189}{16 - 1} ((24 - 2) \frac{91}{8})$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{189}{16 - 1} \cdot \frac{91}{8} (24 - 2)} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{(24 - 2) \frac{189 \cdot 91}{(16 - 1) \cdot 8}} + \frac{11 (\frac{189}{16 - 1} (24 - 2))}{\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))}$

Step 1.15

Multiply $\frac{189}{16 - 1}$ by $\frac{91}{8}$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{189 \cdot 91}{(16 - 1) \cdot 8} (24 - 2)} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{(24 - 2) \frac{189 \cdot 91}{(16 - 1) \cdot 8}} + \frac{11 (\frac{189}{16 - 1} (24 - 2))}{\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))}$

Step 1.16

Multiply $189$ by $91$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{(24 - 2) \frac{189 \cdot 91}{(16 - 1) \cdot 8}} + \frac{11 (\frac{189}{16 - 1} (24 - 2))}{\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))}$

Step 1.17

Reorder the factors of $(24 - 2) \frac{189 \cdot 91}{(16 - 1) \cdot 8}$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{\frac{189 \cdot 91}{(16 - 1) \cdot 8} (24 - 2)} + \frac{11 (\frac{189}{16 - 1} (24 - 2))}{\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))}$

Step 1.18

Multiply $189$ by $91$ .

$\frac{7 ((24 - 2) \frac{91}{8})}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)} - \frac{51 \frac{189 \cdot 91}{(16 - 1) \cdot 8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)} + \frac{11 (\frac{189}{16 - 1} (24 - 2))}{\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))}$

Step 1.19

Reorder the factors of $\frac{91}{8} (\frac{189}{16 - 1} (24 - 2))$ .

Step 1.20

Multiply $\frac{189}{16 - 1}$ by $\frac{91}{8}$ .

Step 1.21

Multiply $189$ by $91$ .

Step 2

Combine the numerators over the common denominator.

$\frac{7 ((24 - 2) \frac{91}{8}) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3

Simplify each term.

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Step 3.1

Subtract $2$ from $24$ .

$\frac{7 (22 (\frac{91}{8})) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.2

Cancel the common factor of $2$ .

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Step 3.2.1

Factor $2$ out of $22$ .

$\frac{7 (2 (11) \frac{91}{8}) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.2.2

Factor $2$ out of $8$ .

$\frac{7 (2 \cdot 11 \frac{91}{2 \cdot 4}) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.2.3

Cancel the common factor.

$\frac{7 (2 \cdot 11 \frac{91}{2 \cdot 4}) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.2.4

Rewrite the expression.

$\frac{7 (11 (\frac{91}{4})) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.3

Combine $11$ and $\frac{91}{4}$ .

$\frac{7 \frac{11 \cdot 91}{4} - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.4

Multiply $11$ by $91$ .

$\frac{7 (\frac{1001}{4}) - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.5

Multiply $7 (\frac{1001}{4})$ .

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Step 3.5.1

Combine $7$ and $\frac{1001}{4}$ .

$\frac{\frac{7 \cdot 1001}{4} - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.5.2

Multiply $7$ by $1001$ .

$\frac{\frac{7007}{4} - 51 \frac{189 \cdot 91}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.6

Multiply $189$ by $91$ .

$\frac{\frac{7007}{4} - 51 \frac{17199}{(16 - 1) \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.7

Subtract $1$ from $16$ .

$\frac{\frac{7007}{4} - 51 \frac{17199}{15 \cdot 8} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.8

Multiply $15$ by $8$ .

$\frac{\frac{7007}{4} - 51 (\frac{17199}{120}) + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.9

Cancel the common factor of $3$ .

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Step 3.9.1

Factor $3$ out of $- 51$ .

$\frac{\frac{7007}{4} + 3 (- 17) \frac{17199}{120} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.9.2

Factor $3$ out of $120$ .

$\frac{\frac{7007}{4} + 3 \cdot - 17 \frac{17199}{3 \cdot 40} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.9.3

Cancel the common factor.

$\frac{\frac{7007}{4} + 3 \cdot - 17 \frac{17199}{3 \cdot 40} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.9.4

Rewrite the expression.

$\frac{\frac{7007}{4} - 17 (\frac{17199}{40}) + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.10

Combine $- 17$ and $\frac{17199}{40}$ .

$\frac{\frac{7007}{4} + \frac{- 17 \cdot 17199}{40} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.11

Multiply $- 17$ by $17199$ .

$\frac{\frac{7007}{4} + \frac{- 292383}{40} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.12

Move the negative in front of the fraction.

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{189}{16 - 1} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.13

Subtract $1$ from $16$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{189}{15} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.14

Cancel the common factor of $189$ and $15$ .

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Step 3.14.1

Factor $3$ out of $189$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{3 (63)}{15} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.14.2

Cancel the common factors.

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Step 3.14.2.1

Factor $3$ out of $15$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{3 \cdot 63}{3 \cdot 5} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.14.2.2

Cancel the common factor.

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{3 \cdot 63}{3 \cdot 5} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.14.2.3

Rewrite the expression.

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{63}{5} (24 - 2))}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.15

Subtract $2$ from $24$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{63}{5} \cdot 22)}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.16

Multiply $\frac{63}{5} \cdot 22$ .

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Step 3.16.1

Combine $\frac{63}{5}$ and $22$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 \frac{63 \cdot 22}{5}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.16.2

Multiply $63$ by $22$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + 11 (\frac{1386}{5})}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.17

Multiply $11 (\frac{1386}{5})$ .

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Step 3.17.1

Combine $11$ and $\frac{1386}{5}$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + \frac{11 \cdot 1386}{5}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 3.17.2

Multiply $11$ by $1386$ .

$\frac{\frac{7007}{4} - \frac{292383}{40} + \frac{15246}{5}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4

Find the common denominator.

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Step 4.1

Multiply $\frac{7007}{4}$ by $\frac{10}{10}$ .

$\frac{\frac{7007}{4} \cdot \frac{10}{10} - \frac{292383}{40} + \frac{15246}{5}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4.2

Multiply $\frac{7007}{4}$ by $\frac{10}{10}$ .

$\frac{\frac{7007 \cdot 10}{4 \cdot 10} - \frac{292383}{40} + \frac{15246}{5}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4.3

Multiply $\frac{15246}{5}$ by $\frac{8}{8}$ .

$\frac{\frac{7007 \cdot 10}{4 \cdot 10} - \frac{292383}{40} + \frac{15246}{5} \cdot \frac{8}{8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4.4

Multiply $\frac{15246}{5}$ by $\frac{8}{8}$ .

$\frac{\frac{7007 \cdot 10}{4 \cdot 10} - \frac{292383}{40} + \frac{15246 \cdot 8}{5 \cdot 8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4.5

Multiply $4$ by $10$ .

$\frac{\frac{7007 \cdot 10}{40} - \frac{292383}{40} + \frac{15246 \cdot 8}{5 \cdot 8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 4.6

Multiply $5$ by $8$ .

$\frac{\frac{7007 \cdot 10}{40} - \frac{292383}{40} + \frac{15246 \cdot 8}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 5

Combine the numerators over the common denominator.

$\frac{\frac{7007 \cdot 10 - 292383 + 15246 \cdot 8}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 6

Simplify each term.

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Step 6.1

Multiply $7007$ by $10$ .

$\frac{\frac{70070 - 292383 + 15246 \cdot 8}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 6.2

Multiply $15246$ by $8$ .

$\frac{\frac{70070 - 292383 + 121968}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7

Reduce the expression by cancelling the common factors.

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Step 7.1

Subtract $292383$ from $70070$ .

$\frac{\frac{- 222313 + 121968}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.2

Add $- 222313$ and $121968$ .

$\frac{\frac{- 100345}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.3

Cancel the common factor of $- 100345$ and $40$ .

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Step 7.3.1

Factor $5$ out of $- 100345$ .

$\frac{\frac{5 (- 20069)}{40}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.3.2

Cancel the common factors.

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Step 7.3.2.1

Factor $5$ out of $40$ .

$\frac{\frac{5 \cdot - 20069}{5 \cdot 8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.3.2.2

Cancel the common factor.

$\frac{\frac{5 \cdot - 20069}{5 \cdot 8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.3.2.3

Rewrite the expression.

$\frac{\frac{- 20069}{8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 7.4

Move the negative in front of the fraction.

$\frac{- \frac{20069}{8}}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 8

Multiply the numerator by the reciprocal of the denominator.

$- \frac{20069}{8} \cdot \frac{1}{\frac{17199}{(16 - 1) \cdot 8} (24 - 2)}$

Step 9

Simplify the expression.

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Step 9.1

Subtract $1$ from $16$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{17199}{15 \cdot 8} (24 - 2)}$

Step 9.2

Multiply $15$ by $8$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{17199}{120} (24 - 2)}$

Step 10

Simplify the denominator.

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Step 10.1

Cancel the common factor of $17199$ and $120$ .

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Step 10.1.1

Factor $3$ out of $17199$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{3 (5733)}{120} (24 - 2)}$

Step 10.1.2

Cancel the common factors.

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Step 10.1.2.1

Factor $3$ out of $120$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{3 \cdot 5733}{3 \cdot 40} (24 - 2)}$

Step 10.1.2.2

Cancel the common factor.

$- \frac{20069}{8} \cdot \frac{1}{\frac{3 \cdot 5733}{3 \cdot 40} (24 - 2)}$

Step 10.1.2.3

Rewrite the expression.

$- \frac{20069}{8} \cdot \frac{1}{\frac{5733}{40} (24 - 2)}$

Step 10.2

Subtract $2$ from $24$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{5733}{40} \cdot 22}$

Step 11

Simplify terms.

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Step 11.1

Combine $\frac{5733}{40}$ and $22$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{5733 \cdot 22}{40}}$

Step 11.2

Multiply $5733$ by $22$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{126126}{40}}$

Step 11.3

Cancel the common factor of $126126$ and $40$ .

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Step 11.3.1

Factor $2$ out of $126126$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{2 (63063)}{40}}$

Step 11.3.2

Cancel the common factors.

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Step 11.3.2.1

Factor $2$ out of $40$ .

$- \frac{20069}{8} \cdot \frac{1}{\frac{2 \cdot 63063}{2 \cdot 20}}$

Step 11.3.2.2

Cancel the common factor.

$- \frac{20069}{8} \cdot \frac{1}{\frac{2 \cdot 63063}{2 \cdot 20}}$

Step 11.3.2.3

Rewrite the expression.

$- \frac{20069}{8} \cdot \frac{1}{\frac{63063}{20}}$

Step 12

Multiply the numerator by the reciprocal of the denominator.

$- \frac{20069}{8} (1 (\frac{20}{63063}))$

Step 13

Multiply $\frac{20}{63063}$ by $1$ .

$- \frac{20069}{8} \cdot \frac{20}{63063}$

Step 14

Cancel the common factor of $7$ .

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Step 14.1

Move the leading negative in $- \frac{20069}{8}$ into the numerator.

$\frac{- 20069}{8} \cdot \frac{20}{63063}$

Step 14.2

Factor $7$ out of $- 20069$ .

$\frac{7 (- 2867)}{8} \cdot \frac{20}{63063}$

Step 14.3

Factor $7$ out of $63063$ .

$\frac{7 \cdot - 2867}{8} \cdot \frac{20}{7 \cdot 9009}$

Step 14.4

Cancel the common factor.

$\frac{7 \cdot - 2867}{8} \cdot \frac{20}{7 \cdot 9009}$

Step 14.5

Rewrite the expression.

$\frac{- 2867}{8} \cdot \frac{20}{9009}$

Step 15

Cancel the common factor of $4$ .

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Step 15.1

Factor $4$ out of $8$ .

$\frac{- 2867}{4 (2)} \cdot \frac{20}{9009}$

Step 15.2

Factor $4$ out of $20$ .

$\frac{- 2867}{4 \cdot 2} \cdot \frac{4 \cdot 5}{9009}$

Step 15.3

Cancel the common factor.

$\frac{- 2867}{4 \cdot 2} \cdot \frac{4 \cdot 5}{9009}$

Step 15.4

Rewrite the expression.

$\frac{- 2867}{2} \cdot \frac{5}{9009}$

Step 16

Multiply $\frac{- 2867}{2}$ by $\frac{5}{9009}$ .

$\frac{- 2867 \cdot 5}{2 \cdot 9009}$

Step 17

Simplify the expression.

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Step 17.1

Multiply $- 2867$ by $5$ .

$\frac{- 14335}{2 \cdot 9009}$

Step 17.2

Multiply $2$ by $9009$ .

$\frac{- 14335}{18018}$

Step 17.3

Move the negative in front of the fraction.

$- \frac{14335}{18018}$

Step 18

The result can be shown in multiple forms.

Exact Form:

$- \frac{14335}{18018}$

Decimal Form:

$- 0.7\overline{955932}$