Basic Math Examples

\frac{7}{8} - \frac{5}{6}

$\frac{7}{8} - \frac{5}{6}$

Step 1

To write

\frac{7}{8}

$\frac{7}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7}{8} \cdot \frac{3}{3} - \frac{5}{6}

$\frac{7}{8} \cdot \frac{3}{3} - \frac{5}{6}$

Step 2

To write

- \frac{5}{6}

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

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7}{8} \cdot \frac{3}{3} - \frac{5}{6} \cdot \frac{4}{4}

$\frac{7}{8} \cdot \frac{3}{3} - \frac{5}{6} \cdot \frac{4}{4}$

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{7}{8}

$\frac{7}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{7 \cdot 3}{8 \cdot 3} - \frac{5}{6} \cdot \frac{4}{4}

$\frac{7 \cdot 3}{8 \cdot 3} - \frac{5}{6} \cdot \frac{4}{4}$

Step 3.2

Multiply

8

$8$ by

3

$3$ .

\frac{7 \cdot 3}{24} - \frac{5}{6} \cdot \frac{4}{4}

$\frac{7 \cdot 3}{24} - \frac{5}{6} \cdot \frac{4}{4}$

Step 3.3

Multiply

\frac{5}{6}

$\frac{5}{6}$ by

\frac{4}{4}

$\frac{4}{4}$ .

\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{6 \cdot 4}

$\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{6 \cdot 4}$

Step 3.4

Multiply

6

$6$ by

4

$4$ .

\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{24}

$\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{24}$

\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{24}

$\frac{7 \cdot 3}{24} - \frac{5 \cdot 4}{24}$

Step 4

Combine the numerators over the common denominator.

\frac{7 \cdot 3 - 5 \cdot 4}{24}

$\frac{7 \cdot 3 - 5 \cdot 4}{24}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

7

$7$ by

3

$3$ .

\frac{21 - 5 \cdot 4}{24}

$\frac{21 - 5 \cdot 4}{24}$

Step 5.2

Multiply

- 5

$- 5$ by

4

$4$ .

\frac{21 - 20}{24}

$\frac{21 - 20}{24}$

Step 5.3

Subtract

20

$20$ from

21

$21$ .

\frac{1}{24}

$\frac{1}{24}$

\frac{1}{24}

$\frac{1}{24}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{1}{24}

$\frac{1}{24}$

Decimal Form:

0.041 ¯ 6

$0.041\overline{6}$