Basic Math Examples

\frac{57}{17} - \frac{153}{221} + (- \frac{5}{12} - \frac{7}{442})

$\frac{57}{17} - \frac{153}{221} + (- \frac{5}{12} - \frac{7}{442})$

Step 1

Remove parentheses.

\frac{57}{17} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}

$\frac{57}{17} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}$

Step 2

Find the common denominator.

Tap for more steps...

Step 2.1

Multiply

\frac{57}{17}

$\frac{57}{17}$ by

\frac{156}{156}

$\frac{156}{156}$ .

\frac{57}{17} \cdot \frac{156}{156} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}

$\frac{57}{17} \cdot \frac{156}{156} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}$

Step 2.2

Multiply

\frac{57}{17}

$\frac{57}{17}$ by

\frac{156}{156}

$\frac{156}{156}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153}{221} - \frac{5}{12} - \frac{7}{442}$

Step 2.3

Multiply

\frac{153}{221}

$\frac{153}{221}$ by

\frac{12}{12}

$\frac{12}{12}$ .

\frac{57 \cdot 156}{17 \cdot 156} - (\frac{153}{221} \cdot \frac{12}{12}) - \frac{5}{12} - \frac{7}{442}

$\frac{57 \cdot 156}{17 \cdot 156} - (\frac{153}{221} \cdot \frac{12}{12}) - \frac{5}{12} - \frac{7}{442}$

Step 2.4

Multiply

\frac{153}{221}

$\frac{153}{221}$ by

\frac{12}{12}

$\frac{12}{12}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5}{12} - \frac{7}{442}

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5}{12} - \frac{7}{442}$

Step 2.5

Multiply

\frac{5}{12}

$\frac{5}{12}$ by

\frac{221}{221}

$\frac{221}{221}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - (\frac{5}{12} \cdot \frac{221}{221}) - \frac{7}{442}

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - (\frac{5}{12} \cdot \frac{221}{221}) - \frac{7}{442}$

Step 2.6

Multiply

\frac{5}{12}

$\frac{5}{12}$ by

\frac{221}{221}

$\frac{221}{221}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7}{442}

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7}{442}$

Step 2.7

Multiply

\frac{7}{442}

$\frac{7}{442}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - (\frac{7}{442} \cdot \frac{6}{6})

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - (\frac{7}{442} \cdot \frac{6}{6})$

Step 2.8

Multiply

\frac{7}{442}

$\frac{7}{442}$ by

\frac{6}{6}

$\frac{6}{6}$ .

\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}

$\frac{57 \cdot 156}{17 \cdot 156} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}$

Step 2.9

Multiply

17

$17$ by

156

$156$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{221 \cdot 12} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}$

Step 2.10

Reorder the factors of

221 \cdot 12

$221 \cdot 12$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{12 \cdot 221} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{12 \cdot 221} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}$

Step 2.11

Multiply

12

$12$ by

221

$221$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{12 \cdot 221} - \frac{7 \cdot 6}{442 \cdot 6}$

Step 2.12

Multiply

12

$12$ by

221

$221$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{442 \cdot 6}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{442 \cdot 6}$

Step 2.13

Reorder the factors of

442 \cdot 6

$442 \cdot 6$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{6 \cdot 442}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{6 \cdot 442}$

Step 2.14

Multiply

6

$6$ by

442

$442$ .

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{2652}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{2652}$

\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{2652}

$\frac{57 \cdot 156}{2652} - \frac{153 \cdot 12}{2652} - \frac{5 \cdot 221}{2652} - \frac{7 \cdot 6}{2652}$

Step 3

Combine the numerators over the common denominator.

\frac{57 \cdot 156 - 153 \cdot 12 - 5 \cdot 221 - 7 \cdot 6}{2652}

$\frac{57 \cdot 156 - 153 \cdot 12 - 5 \cdot 221 - 7 \cdot 6}{2652}$

Step 4

Simplify each term.

Tap for more steps...

Step 4.1

Multiply

57

$57$ by

156

$156$ .

\frac{8892 - 153 \cdot 12 - 5 \cdot 221 - 7 \cdot 6}{2652}

$\frac{8892 - 153 \cdot 12 - 5 \cdot 221 - 7 \cdot 6}{2652}$

Step 4.2

Multiply

- 153

$- 153$ by

12

$12$ .

\frac{8892 - 1836 - 5 \cdot 221 - 7 \cdot 6}{2652}

$\frac{8892 - 1836 - 5 \cdot 221 - 7 \cdot 6}{2652}$

Step 4.3

Multiply

- 5

$- 5$ by

221

$221$ .

\frac{8892 - 1836 - 1105 - 7 \cdot 6}{2652}

$\frac{8892 - 1836 - 1105 - 7 \cdot 6}{2652}$

Step 4.4

Multiply

- 7

$- 7$ by

6

$6$ .

\frac{8892 - 1836 - 1105 - 42}{2652}

$\frac{8892 - 1836 - 1105 - 42}{2652}$

\frac{8892 - 1836 - 1105 - 42}{2652}

$\frac{8892 - 1836 - 1105 - 42}{2652}$

Step 5

Simplify by subtracting numbers.

Tap for more steps...

Step 5.1

Subtract

1836

$1836$ from

8892

$8892$ .

\frac{7056 - 1105 - 42}{2652}

$\frac{7056 - 1105 - 42}{2652}$

Step 5.2

Subtract

1105

$1105$ from

7056

$7056$ .

\frac{5951 - 42}{2652}

$\frac{5951 - 42}{2652}$

Step 5.3

Subtract

42

$42$ from

5951

$5951$ .

\frac{5909}{2652}

$\frac{5909}{2652}$

\frac{5909}{2652}

$\frac{5909}{2652}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{5909}{2652}

$\frac{5909}{2652}$

Decimal Form:

2.22812971 \dots

$2.22812971 \dots$

Mixed Number Form:

2 \frac{605}{2652}

$2 \frac{605}{2652}$