Solve -3/5:(1-2/7)=

$$- \frac { 3 } { 5 } : ( 1 - \frac { 2 } { 7 } ) =$$

Evaluate

$$-\frac{21}{25}=-0.84$$

Solution Steps

Convert 1 to fraction \frac{7}{7}.

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

Since \frac{7}{7} and \frac{2}{7} have the same denominator, subtract them by subtracting their numerators.

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

Subtract 2 from 7 to get 5.

$$\frac{-\frac{3}{5}}{\frac{5}{7}}$$

Divide -\frac{3}{5} by \frac{5}{7} by multiplying -\frac{3}{5} by the reciprocal of \frac{5}{7}.

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

Multiply -\frac{3}{5} times \frac{7}{5} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-3\times 7}{5\times 5}.

$$\frac{-21}{25}$$

Fraction \frac{-21}{25} can be rewritten as -\frac{21}{25} by extracting the negative sign.

$$-\frac{21}{25}$$

Factor

$$-\frac{21}{25} = -0.84$$