Solve 024div(-3/5)-37/16*214/25

$$024 \div ( - \frac { 3 } { 5 } ) - 3 \frac { 7 } { 16 } \times 2 \frac { 14 } { 25 }$$

Evaluate

$$-\frac{44}{5}=-8.8$$

Solution Steps

Multiply 0 and 24 to get 0.

$$\frac{0}{-\frac{3}{5}}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Zero divided by any non-zero number gives zero.

$$0-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Multiply 3 and 16 to get 48.

$$0-\frac{48+7}{16}\times \frac{2\times 25+14}{25}$$

Add 48 and 7 to get 55.

$$0-\frac{55}{16}\times \frac{2\times 25+14}{25}$$

Multiply 2 and 25 to get 50.

$$0-\frac{55}{16}\times \frac{50+14}{25}$$

Add 50 and 14 to get 64.

$$0-\frac{55}{16}\times \frac{64}{25}$$

Multiply \frac{55}{16} times \frac{64}{25} by multiplying numerator times numerator and denominator times denominator.

$$0-\frac{55\times 64}{16\times 25}$$

Do the multiplications in the fraction \frac{55\times 64}{16\times 25}.

$$0-\frac{3520}{400}$$

Reduce the fraction \frac{3520}{400} to lowest terms by extracting and canceling out 80.

$$0-\frac{44}{5}$$

Subtract \frac{44}{5} from 0 to get -\frac{44}{5}.

$$-\frac{44}{5}$$

Factor

$$-\frac{44}{5} = -8\frac{4}{5} = -8.8$$