Solve -3/5div(2/7*11/4)

$$- \frac { 3 } { 5 } \div ( \frac { 2 } { 7 } \times 1 \frac { 1 } { 4 } )$$

Evaluate

$$-\frac{42}{25}=-1.68$$

Solution Steps

Multiply 1 and 4 to get 4.

$$\frac{-\frac{3}{5}}{\frac{2}{7}\times \frac{4+1}{4}}$$

Add 4 and 1 to get 5.

$$\frac{-\frac{3}{5}}{\frac{2}{7}\times \frac{5}{4}}$$

Multiply \frac{2}{7} times \frac{5}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-\frac{3}{5}}{\frac{2\times 5}{7\times 4}}$$

Do the multiplications in the fraction \frac{2\times 5}{7\times 4}.

$$\frac{-\frac{3}{5}}{\frac{10}{28}}$$

Reduce the fraction \frac{10}{28} to lowest terms by extracting and canceling out 2.

$$\frac{-\frac{3}{5}}{\frac{5}{14}}$$

Divide -\frac{3}{5} by \frac{5}{14} by multiplying -\frac{3}{5} by the reciprocal of \frac{5}{14}.

$$-\frac{3}{5}\times \frac{14}{5}$$

Multiply -\frac{3}{5} times \frac{14}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 14}{5\times 5}$$

Do the multiplications in the fraction \frac{-3\times 14}{5\times 5}.

$$\frac{-42}{25}$$

Fraction \frac{-42}{25} can be rewritten as -\frac{42}{25} by extracting the negative sign.

$$-\frac{42}{25}$$

Factor

$$-\frac{42}{25} = -1\frac{17}{25} = -1.68$$