Solve -24/5*4/7-22/5=

$$- 2 \frac { 4 } { 5 } \times \frac { 4 } { 7 } - 2 \frac { 2 } { 5 } =$$

Evaluate

$$-4$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\left(-\frac{10+4}{5}\right)\times \frac{4}{7}-\frac{2\times 5+2}{5}$$

Add 10 and 4 to get 14.

$$-\frac{14}{5}\times \frac{4}{7}-\frac{2\times 5+2}{5}$$

Multiply -\frac{14}{5} times \frac{4}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-14\times 4}{5\times 7}-\frac{2\times 5+2}{5}$$

Do the multiplications in the fraction \frac{-14\times 4}{5\times 7}.

$$\frac{-56}{35}-\frac{2\times 5+2}{5}$$

Reduce the fraction \frac{-56}{35} to lowest terms by extracting and canceling out 7.

$$-\frac{8}{5}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$-\frac{8}{5}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$-\frac{8}{5}-\frac{12}{5}$$

Since -\frac{8}{5} and \frac{12}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-8-12}{5}$$

Subtract 12 from -8 to get -20.

$$\frac{-20}{5}$$

Divide -20 by 5 to get -4.

$$-4$$

Factor

$$-4$$