Basic Math Examples

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

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

Step 1

Move the negative in front of the fraction.

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

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

Step 2

To write

- \frac{8}{5}

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

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 3

To write

\frac{8}{3}

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

\frac{5}{5}

$\frac{5}{5}$ .

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

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

Step 4

Write each expression with a common denominator of

15

$15$ , by multiplying each by an appropriate factor of

1

$1$ .

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Step 4.1

Multiply

\frac{8}{5}

$\frac{8}{5}$ by

\frac{3}{3}

$\frac{3}{3}$ .

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

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

Step 4.2

Multiply

5

$5$ by

3

$3$ .

- \frac{8 \cdot 3}{15} + \frac{8}{3} \cdot \frac{5}{5}

$- \frac{8 \cdot 3}{15} + \frac{8}{3} \cdot \frac{5}{5}$

Step 4.3

Multiply

\frac{8}{3}

$\frac{8}{3}$ by

\frac{5}{5}

$\frac{5}{5}$ .

- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{3 \cdot 5}

$- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{3 \cdot 5}$

Step 4.4

Multiply

3

$3$ by

5

$5$ .

- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{15}

$- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{15}$

- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{15}

$- \frac{8 \cdot 3}{15} + \frac{8 \cdot 5}{15}$

Step 5

Combine the numerators over the common denominator.

\frac{- 8 \cdot 3 + 8 \cdot 5}{15}

$\frac{- 8 \cdot 3 + 8 \cdot 5}{15}$

Step 6

Simplify the numerator.

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Step 6.1

Multiply

- 8

$- 8$ by

3

$3$ .

\frac{- 24 + 8 \cdot 5}{15}

$\frac{- 24 + 8 \cdot 5}{15}$

Step 6.2

Multiply

8

$8$ by

5

$5$ .

\frac{- 24 + 40}{15}

$\frac{- 24 + 40}{15}$

Step 6.3

Add

- 24

$- 24$ and

40

$40$ .

\frac{16}{15}

$\frac{16}{15}$

\frac{16}{15}

$\frac{16}{15}$

Step 7

The result can be shown in multiple forms.

Exact Form:

\frac{16}{15}

$\frac{16}{15}$

Decimal Form:

1.0\overline{6}

$1.0\overline{6}$

Mixed Number Form:

1 \frac{1}{15}

$1 \frac{1}{15}$