Evaluate -8/9+1/3(-3/8)

$- \frac{8}{9} + \frac{1}{3} (- \frac{3}{8})$

Step 1

Simplify each term.

Cancel the common factor of $3$ .

Move the leading negative in $- \frac{3}{8}$ into the numerator.

$- \frac{8}{9} + \frac{1}{3} \cdot \frac{- 3}{8}$

Factor $3$ out of $- 3$ .

$- \frac{8}{9} + \frac{1}{3} \cdot \frac{3 (- 1)}{8}$

Cancel the common factor.

$- \frac{8}{9} + \frac{1}{3} \cdot \frac{3 \cdot - 1}{8}$

Rewrite the expression.

$- \frac{8}{9} + \frac{- 1}{8}$

Move the negative in front of the fraction.

$- \frac{8}{9} - \frac{1}{8}$

Step 2

To write $- \frac{8}{9}$ as a fraction with a common denominator, multiply by $\frac{8}{8}$ .

$- \frac{8}{9} \cdot \frac{8}{8} - \frac{1}{8}$

Step 3

To write $- \frac{1}{8}$ as a fraction with a common denominator, multiply by $\frac{9}{9}$ .

$- \frac{8}{9} \cdot \frac{8}{8} - \frac{1}{8} \cdot \frac{9}{9}$

Step 4

Write each expression with a common denominator of $72$ , by multiplying each by an appropriate factor of $1$ .

Multiply $\frac{8}{9}$ by $\frac{8}{8}$ .

$- \frac{8 \cdot 8}{9 \cdot 8} - \frac{1}{8} \cdot \frac{9}{9}$

Multiply $9$ by $8$ .

$- \frac{8 \cdot 8}{72} - \frac{1}{8} \cdot \frac{9}{9}$

Multiply $\frac{1}{8}$ by $\frac{9}{9}$ .

$- \frac{8 \cdot 8}{72} - \frac{9}{8 \cdot 9}$

Multiply $8$ by $9$ .

$- \frac{8 \cdot 8}{72} - \frac{9}{72}$

Step 5

Combine the numerators over the common denominator.

$\frac{- 8 \cdot 8 - 9}{72}$

Step 6

Simplify the numerator.

Multiply $- 8$ by $8$ .

$\frac{- 64 - 9}{72}$

Subtract $9$ from $- 64$ .

$\frac{- 73}{72}$

Step 7

Move the negative in front of the fraction.

$- \frac{73}{72}$

Step 8

The result can be shown in multiple forms.

Exact Form:

$- \frac{73}{72}$

Decimal Form:

$- 1.013\overline{8}$

Mixed Number Form:

$- 1 \frac{1}{72}$

Evaluate -8/9+1/3(-3/8)

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