Basic Math Examples

\frac{1}{3} - \frac{5}{8}

$\frac{1}{3} - \frac{5}{8}$

Step 1

To write

\frac{1}{3}

$\frac{1}{3}$ as a fraction with a common denominator, multiply by

\frac{8}{8}

$\frac{8}{8}$ .

\frac{1}{3} \cdot \frac{8}{8} - \frac{5}{8}

$\frac{1}{3} \cdot \frac{8}{8} - \frac{5}{8}$

Step 2

To write

- \frac{5}{8}

$- \frac{5}{8}$ as a fraction with a common denominator, multiply by

\frac{3}{3}

$\frac{3}{3}$ .

\frac{1}{3} \cdot \frac{8}{8} - \frac{5}{8} \cdot \frac{3}{3}

$\frac{1}{3} \cdot \frac{8}{8} - \frac{5}{8} \cdot \frac{3}{3}$

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{1}{3}

$\frac{1}{3}$ by

\frac{8}{8}

$\frac{8}{8}$ .

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

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

Step 3.2

Multiply

3

$3$ by

8

$8$ .

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

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

Step 3.3

Multiply

\frac{5}{8}

$\frac{5}{8}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3.4

Multiply

8

$8$ by

3

$3$ .

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

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

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

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

Step 4

Combine the numerators over the common denominator.

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

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

Step 5

Simplify the numerator.

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Step 5.1

Multiply

- 5

$- 5$ by

3

$3$ .

\frac{8 - 15}{24}

$\frac{8 - 15}{24}$

Step 5.2

Subtract

$15$ from

$8$ .

$\frac{- 7}{24}$

Step 6

Move the negative in front of the fraction.

$- \frac{7}{24}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{7}{24}$

Decimal Form:

$- 0.291\overline{6}$