Basic Math Examples

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

Step 1

Move the negative in front of the fraction.

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

Step 2

To write $- \frac{8}{5}$ as a fraction with a common denominator, multiply by $\frac{3}{3}$ .

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

Step 3

To write $\frac{8}{3}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 4

Write each expression with a common denominator of $15$ , by multiplying each by an appropriate factor of $1$ .

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Step 4.1

Multiply $\frac{8}{5}$ by $\frac{3}{3}$ .

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

Step 4.2

Multiply $5$ by $3$ .

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

Step 4.3

Multiply $\frac{8}{3}$ by $\frac{5}{5}$ .

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

Step 4.4

Multiply $3$ by $5$ .

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

Step 5

Combine the numerators over the common denominator.

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

Step 6

Simplify the numerator.

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Step 6.1

Multiply $- 8$ by $3$ .

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

Step 6.2

Multiply $8$ by $5$ .

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

Step 6.3

Add $- 24$ and $40$ .

$\frac{16}{15}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$\frac{16}{15}$

Decimal Form:

$1.0\overline{6}$

Mixed Number Form:

$1 \frac{1}{15}$