Basic Math Examples

$24 \frac{3}{5} - 14 \frac{7}{9}$

Step 1

Convert

$24 \frac{3}{5}$ to an improper fraction.

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Step 1.1

A mixed number is an addition of its whole and fractional parts.

$24 + \frac{3}{5} - 14 \frac{7}{9}$

Step 1.2

Add

$24$ and

$\frac{3}{5}$ .

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Step 1.2.1

To write

$24$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$24 \cdot \frac{5}{5} + \frac{3}{5} - 14 \frac{7}{9}$

Step 1.2.2

Combine

$24$ and

$\frac{5}{5}$ .

$\frac{24 \cdot 5}{5} + \frac{3}{5} - 14 \frac{7}{9}$

Step 1.2.3

Combine the numerators over the common denominator.

$\frac{24 \cdot 5 + 3}{5} - 14 \frac{7}{9}$

Step 1.2.4

Simplify the numerator.

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Step 1.2.4.1

Multiply

$24$ by

$5$ .

$\frac{120 + 3}{5} - 14 \frac{7}{9}$

Step 1.2.4.2

Add

$120$ and

$3$ .

$\frac{123}{5} - 14 \frac{7}{9}$

Step 2

Convert

$14 \frac{7}{9}$ to an improper fraction.

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Step 2.1

A mixed number is an addition of its whole and fractional parts.

$\frac{123}{5} - (14 + \frac{7}{9})$

Step 2.2

Add

$14$ and

$\frac{7}{9}$ .

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Step 2.2.1

To write

$14$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$\frac{123}{5} - (14 \cdot \frac{9}{9} + \frac{7}{9})$

Step 2.2.2

Combine

$14$ and

$\frac{9}{9}$ .

$\frac{123}{5} - (\frac{14 \cdot 9}{9} + \frac{7}{9})$

Step 2.2.3

Combine the numerators over the common denominator.

$\frac{123}{5} - \frac{14 \cdot 9 + 7}{9}$

Step 2.2.4

Simplify the numerator.

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Step 2.2.4.1

Multiply

$14$ by

$9$ .

$\frac{123}{5} - \frac{126 + 7}{9}$

Step 2.2.4.2

Add

$126$ and

$7$ .

$\frac{123}{5} - \frac{133}{9}$

Step 3

To write

$\frac{123}{5}$ as a fraction with a common denominator, multiply by

$\frac{9}{9}$ .

$\frac{123}{5} \cdot \frac{9}{9} - \frac{133}{9}$

Step 4

To write

$- \frac{133}{9}$ as a fraction with a common denominator, multiply by

$\frac{5}{5}$ .

$\frac{123}{5} \cdot \frac{9}{9} - \frac{133}{9} \cdot \frac{5}{5}$

Step 5

Write each expression with a common denominator of

$45$ , by multiplying each by an appropriate factor of

$1$ .

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Step 5.1

Multiply

$\frac{123}{5}$ by

$\frac{9}{9}$ .

$\frac{123 \cdot 9}{5 \cdot 9} - \frac{133}{9} \cdot \frac{5}{5}$

Step 5.2

Multiply

$5$ by

$9$ .

$\frac{123 \cdot 9}{45} - \frac{133}{9} \cdot \frac{5}{5}$

Step 5.3

Multiply

$\frac{133}{9}$ by

$\frac{5}{5}$ .

$\frac{123 \cdot 9}{45} - \frac{133 \cdot 5}{9 \cdot 5}$

Step 5.4

Multiply

$9$ by

$5$ .

$\frac{123 \cdot 9}{45} - \frac{133 \cdot 5}{45}$

Step 6

Combine the numerators over the common denominator.

$\frac{123 \cdot 9 - 133 \cdot 5}{45}$

Step 7

Simplify the numerator.

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Step 7.1

Multiply

$123$ by

$9$ .

$\frac{1107 - 133 \cdot 5}{45}$

Step 7.2

Multiply

$- 133$ by

$5$ .

$\frac{1107 - 665}{45}$

Step 7.3

Subtract

$665$ from

$1107$ .

$\frac{442}{45}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$\frac{442}{45}$

Decimal Form:

$9.8\overline{2}$

Mixed Number Form:

$9 \frac{37}{45}$