Divide (1/4)÷(-3/8)

$\frac{1}{4} \div (- \frac{3}{8})$

Step 1

To divide by a fraction, multiply by its reciprocal.

$\frac{1}{4} (- \frac{8}{3})$

Step 2

Cancel the common factor of $4$ .

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

$\frac{1}{4} \cdot \frac{- 8}{3}$

Factor $4$ out of $- 8$ .

$\frac{1}{4} \cdot \frac{4 (- 2)}{3}$

Cancel the common factor.

$\frac{1}{4} \cdot \frac{4 \cdot - 2}{3}$

Rewrite the expression.

$\frac{- 2}{3}$

Step 3

Move the negative in front of the fraction.

$- \frac{2}{3}$

Step 4

The result can be shown in multiple forms.

Exact Form:

$- \frac{2}{3}$

Decimal Form:

$- 0.\overline{6}$