Solve -0.7*2.5*13/7*-4

$$-0.7 \times 2.5 \times 1 \frac { 3 } { 7 } \times -4$$

Evaluate

$$10$$

Solution Steps

Multiply -0.7 and 2.5 to get -1.75.

$$-1.75\times \frac{7+3}{7}\left(-4\right)$$

Add 7 and 3 to get 10.

$$-1.75\times \frac{10}{7}\left(-4\right)$$

Convert decimal number -1.75 to fraction -\frac{175}{100}. Reduce the fraction -\frac{175}{100} to lowest terms by extracting and canceling out 25.

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

Multiply -\frac{7}{4} times \frac{10}{7} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-7\times 10}{4\times 7}.

$$\frac{-70}{28}\left(-4\right)$$

Reduce the fraction \frac{-70}{28} to lowest terms by extracting and canceling out 14.

$$-\frac{5}{2}\left(-4\right)$$

Express -\frac{5}{2}\left(-4\right) as a single fraction.

$$\frac{-5\left(-4\right)}{2}$$

Multiply -5 and -4 to get 20.

$$\frac{20}{2}$$

Divide 20 by 2 to get 10.

$$10$$

Factor

$$2\times 5$$