Solve 0.24div(-3/5)-37/16*214/25

$$0.24 \div ( - \frac { 3 } { 5 } ) - 3 \frac { 7 } { 16 } \times 2 \frac { 14 } { 25 }$$

Evaluate

$$-9.2$$

Solution Steps

Divide 0.24 by -\frac{3}{5} by multiplying 0.24 by the reciprocal of -\frac{3}{5}.

$$0.24\left(-\frac{5}{3}\right)-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Convert decimal number 0.24 to fraction \frac{24}{100}. Reduce the fraction \frac{24}{100} to lowest terms by extracting and canceling out 4.

$$\frac{6}{25}\left(-\frac{5}{3}\right)-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Multiply \frac{6}{25} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{6\left(-5\right)}{25\times 3}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Do the multiplications in the fraction \frac{6\left(-5\right)}{25\times 3}.

$$\frac{-30}{75}-\frac{3\times 16+7}{16}\times \frac{2\times 25+14}{25}$$

Reduce the fraction \frac{-30}{75} to lowest terms by extracting and canceling out 15.

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

Multiply 3 and 16 to get 48.

$$-\frac{2}{5}-\frac{48+7}{16}\times \frac{2\times 25+14}{25}$$

Add 48 and 7 to get 55.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{2\times 25+14}{25}$$

Multiply 2 and 25 to get 50.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{50+14}{25}$$

Add 50 and 14 to get 64.

$$-\frac{2}{5}-\frac{55}{16}\times \frac{64}{25}$$

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

$$-\frac{2}{5}-\frac{55\times 64}{16\times 25}$$

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

$$-\frac{2}{5}-\frac{3520}{400}$$

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

$$-\frac{2}{5}-\frac{44}{5}$$

Since -\frac{2}{5} and \frac{44}{5} have the same denominator, subtract them by subtracting their numerators.

$$\frac{-2-44}{5}$$

Subtract 44 from -2 to get -46.

$$-\frac{46}{5}$$

Factor

$$-9.2$$