Solve -10/40:7/4=-10

$$- \frac { 10 } { 40 } : \frac { 7 } { 4 } = - 10$$

Verify

Solution Steps

Reduce the fraction \frac{10}{40} to lowest terms by extracting and canceling out 10.

$$\frac{-\frac{1}{4}}{\frac{7}{4}}=-10$$

Divide -\frac{1}{4} by \frac{7}{4} by multiplying -\frac{1}{4} by the reciprocal of \frac{7}{4}.

$$-\frac{1}{4}\times \frac{4}{7}=-10$$

Multiply -\frac{1}{4} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-4}{4\times 7}=-10$$

Cancel out 4 in both numerator and denominator.

$$\frac{-1}{7}=-10$$

Fraction \frac{-1}{7} can be rewritten as -\frac{1}{7} by extracting the negative sign.

$$-\frac{1}{7}=-10$$

Convert -10 to fraction -\frac{70}{7}.

$$-\frac{1}{7}=-\frac{70}{7}$$

Compare -\frac{1}{7} and -\frac{70}{7}.

$$\text{false}$$