Basic Math Examples

\frac{5}{6} - \frac{3}{8}

$\frac{5}{6} - \frac{3}{8}$

Step 1

To write

\frac{5}{6}

$\frac{5}{6}$ as a fraction with a common denominator, multiply by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8}

$\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8}$

Step 2

To write

- \frac{3}{8}

$- \frac{3}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8} \cdot \frac{3}{3}

$\frac{5}{6} \cdot \frac{4}{4} - \frac{3}{8} \cdot \frac{3}{3}$

Step 3

Write each expression with a common denominator of

24

$24$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 3.1

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{5 \cdot 4}{6 \cdot 4} - \frac{3}{8} \cdot \frac{3}{3}

$\frac{5 \cdot 4}{6 \cdot 4} - \frac{3}{8} \cdot \frac{3}{3}$

Step 3.2

Multiply

6

$6$ by

4

$4$ .

\frac{5 \cdot 4}{24} - \frac{3}{8} \cdot \frac{3}{3}

$\frac{5 \cdot 4}{24} - \frac{3}{8} \cdot \frac{3}{3}$

Step 3.3

Multiply

\frac{3}{8}

$\frac{3}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{8 \cdot 3}

$\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{8 \cdot 3}$

Step 3.4

Multiply

8

$8$ by

3

$3$ .

\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{24}

$\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{24}$

\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{24}

$\frac{5 \cdot 4}{24} - \frac{3 \cdot 3}{24}$

Step 4

Combine the numerators over the common denominator.

\frac{5 \cdot 4 - 3 \cdot 3}{24}

$\frac{5 \cdot 4 - 3 \cdot 3}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

5

$5$ by

4

$4$ .

\frac{20 - 3 \cdot 3}{24}

$\frac{20 - 3 \cdot 3}{24}$

Step 5.2

Multiply

- 3

$- 3$ by

3

$3$ .

\frac{20 - 9}{24}

$\frac{20 - 9}{24}$

Step 5.3

Subtract

9

$9$ from

20

$20$ .

\frac{11}{24}

$\frac{11}{24}$

\frac{11}{24}

$\frac{11}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{11}{24}

$\frac{11}{24}$

Decimal Form:

0.458 ¯ 3

$0.458\overline{3}$