Basic Math Examples

\frac{7}{8} - \frac{2}{5}

$\frac{7}{8} - \frac{2}{5}$

Step 1

To write

\frac{7}{8}

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

\frac{5}{5}

$\frac{5}{5}$ .

\frac{7}{8} \cdot \frac{5}{5} - \frac{2}{5}

$\frac{7}{8} \cdot \frac{5}{5} - \frac{2}{5}$

Step 2

To write

- \frac{2}{5}

$- \frac{2}{5}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{7}{8} \cdot \frac{5}{5} - \frac{2}{5} \cdot \frac{8}{8}

$\frac{7}{8} \cdot \frac{5}{5} - \frac{2}{5} \cdot \frac{8}{8}$

Step 3

Write each expression with a common denominator of

40

$40$ , 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{5}{5}

$\frac{5}{5}$ .

\frac{7 \cdot 5}{8 \cdot 5} - \frac{2}{5} \cdot \frac{8}{8}

$\frac{7 \cdot 5}{8 \cdot 5} - \frac{2}{5} \cdot \frac{8}{8}$

Step 3.2

Multiply

8

$8$ by

5

$5$ .

\frac{7 \cdot 5}{40} - \frac{2}{5} \cdot \frac{8}{8}

$\frac{7 \cdot 5}{40} - \frac{2}{5} \cdot \frac{8}{8}$

Step 3.3

Multiply

\frac{2}{5}

$\frac{2}{5}$ by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{5 \cdot 8}

$\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{5 \cdot 8}$

Step 3.4

Multiply

5

$5$ by

8

$8$ .

\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{40}

$\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{40}$

\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{40}

$\frac{7 \cdot 5}{40} - \frac{2 \cdot 8}{40}$

Step 4

Combine the numerators over the common denominator.

\frac{7 \cdot 5 - 2 \cdot 8}{40}

$\frac{7 \cdot 5 - 2 \cdot 8}{40}$

Step 5

Simplify the numerator.

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Step 5.1

Multiply

7

$7$ by

5

$5$ .

\frac{35 - 2 \cdot 8}{40}

$\frac{35 - 2 \cdot 8}{40}$

Step 5.2

Multiply

- 2

$- 2$ by

8

$8$ .

\frac{35 - 16}{40}

$\frac{35 - 16}{40}$

Step 5.3

Subtract

16

$16$ from

35

$35$ .

\frac{19}{40}

$\frac{19}{40}$

\frac{19}{40}

$\frac{19}{40}$

Step 6

The result can be shown in multiple forms.

Exact Form:

\frac{19}{40}

$\frac{19}{40}$

Decimal Form:

0.475

$0.475$