Basic Math Examples

\frac{182}{3} - \frac{13}{2}

$\frac{182}{3} - \frac{13}{2}$

Step 1

To write

\frac{182}{3}

$\frac{182}{3}$ as a fraction with a common denominator, multiply by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{182}{3} \cdot \frac{2}{2} - \frac{13}{2}

$\frac{182}{3} \cdot \frac{2}{2} - \frac{13}{2}$

Step 2

To write

- \frac{13}{2}

$- \frac{13}{2}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{182}{3} \cdot \frac{2}{2} - \frac{13}{2} \cdot \frac{3}{3}

$\frac{182}{3} \cdot \frac{2}{2} - \frac{13}{2} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

6

$6$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{182}{3}

$\frac{182}{3}$ by

\frac{2}{2}

$\frac{2}{2}$ .

\frac{182 \cdot 2}{3 \cdot 2} - \frac{13}{2} \cdot \frac{3}{3}

$\frac{182 \cdot 2}{3 \cdot 2} - \frac{13}{2} \cdot \frac{3}{3}$

Step 3.2

Multiply

3

$3$ by

2

$2$ .

\frac{182 \cdot 2}{6} - \frac{13}{2} \cdot \frac{3}{3}

$\frac{182 \cdot 2}{6} - \frac{13}{2} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{13}{2}

$\frac{13}{2}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{2 \cdot 3}

$\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{2 \cdot 3}$

Step 3.4

Multiply

2

$2$ by

3

$3$ .

\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{6}

$\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{6}$

\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{6}

$\frac{182 \cdot 2}{6} - \frac{13 \cdot 3}{6}$

Step 4

Combine the numerators over the common denominator.

\frac{182 \cdot 2 - 13 \cdot 3}{6}

$\frac{182 \cdot 2 - 13 \cdot 3}{6}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

182

$182$ by

2

$2$ .

\frac{364 - 13 \cdot 3}{6}

$\frac{364 - 13 \cdot 3}{6}$

Step 5.2

Multiply

- 13

$- 13$ by

3

$3$ .

\frac{364 - 39}{6}

$\frac{364 - 39}{6}$

Step 5.3

Subtract

39

$39$ from

364

$364$ .

\frac{325}{6}

$\frac{325}{6}$

\frac{325}{6}

$\frac{325}{6}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{325}{6}

$\frac{325}{6}$

Decimal Form:

54.1\overline{6}

$54.1\overline{6}$

Mixed Number Form:

54 \frac{1}{6}

$54 \frac{1}{6}$