Evaluate (-4/5)-7/8

$(- \frac{4}{5}) - \frac{7}{8}$

Step 1

To write $- \frac{4}{5}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

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

Step 2

To write $- \frac{7}{8}$ as a fraction with a common denominator, multiply by $\frac{5}{5}$ .

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

Step 3

Write each expression with a common denominator of $40$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{4}{5}$ by $\frac{8}{8}$ .

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

Multiply $5$ by $8$ .

$- \frac{4 \cdot 8}{40} - \frac{7}{8} \cdot \frac{5}{5}$

Multiply $\frac{7}{8}$ by $\frac{5}{5}$ .

$- \frac{4 \cdot 8}{40} - \frac{7 \cdot 5}{8 \cdot 5}$

Multiply $8$ by $5$ .

$- \frac{4 \cdot 8}{40} - \frac{7 \cdot 5}{40}$

Step 4

Combine the numerators over the common denominator.

$\frac{- 4 \cdot 8 - 7 \cdot 5}{40}$

Step 5

Simplify the numerator.

Multiply $- 4$ by $8$ .

$\frac{- 32 - 7 \cdot 5}{40}$

Multiply $- 7$ by $5$ .

$\frac{- 32 - 35}{40}$

Subtract $35$ from $- 32$ .

$\frac{- 67}{40}$

Step 6

Move the negative in front of the fraction.

$- \frac{67}{40}$

Step 7

The result can be shown in multiple forms.

Exact Form:

$- \frac{67}{40}$

Decimal Form:

$- 1.675$

Mixed Number Form:

$- 1 \frac{27}{40}$