Solve -64div31/5*5/8

$$- 64 \div 3 \frac { 1 } { 5 } \times \frac { 5 } { 8 }$$

Evaluate

$$-\frac{25}{2}=-12.5$$

Solution Steps

Divide -64 by \frac{3\times 5+1}{5} by multiplying -64 by the reciprocal of \frac{3\times 5+1}{5}.

$$\frac{-64\times 5}{3\times 5+1}\times \frac{5}{8}$$

Multiply -64 and 5 to get -320.

$$\frac{-320}{3\times 5+1}\times \frac{5}{8}$$

Multiply 3 and 5 to get 15.

$$\frac{-320}{15+1}\times \frac{5}{8}$$

Add 15 and 1 to get 16.

$$\frac{-320}{16}\times \frac{5}{8}$$

Divide -320 by 16 to get -20.

$$-20\times \frac{5}{8}$$

Express -20\times \frac{5}{8} as a single fraction.

$$\frac{-20\times 5}{8}$$

Multiply -20 and 5 to get -100.

$$\frac{-100}{8}$$

Reduce the fraction \frac{-100}{8} to lowest terms by extracting and canceling out 4.

$$-\frac{25}{2}$$

Factor

$$-\frac{25}{2} = -12\frac{1}{2} = -12.5$$