Solve -3/5*(5-2/3)

$$\frac{ -3 }{ 5 } \times (5- \frac{ 2 }{ 3 } )$$

Evaluate

$$-\frac{13}{5}=-2.6$$

Solution Steps

Fraction \frac{-3}{5} can be rewritten as -\frac{3}{5} by extracting the negative sign.

$$-\frac{3}{5}\left(5-\frac{2}{3}\right)$$

Convert 5 to fraction \frac{15}{3}.

$$-\frac{3}{5}\left(\frac{15}{3}-\frac{2}{3}\right)$$

Since \frac{15}{3} and \frac{2}{3} have the same denominator, subtract them by subtracting their numerators.

$$-\frac{3}{5}\times \frac{15-2}{3}$$

Subtract 2 from 15 to get 13.

$$-\frac{3}{5}\times \frac{13}{3}$$

Multiply -\frac{3}{5} times \frac{13}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{-3\times 13}{5\times 3}$$

Do the multiplications in the fraction \frac{-3\times 13}{5\times 3}.

$$\frac{-39}{15}$$

Reduce the fraction \frac{-39}{15} to lowest terms by extracting and canceling out 3.

$$-\frac{13}{5}$$

Factor

$$-\frac{13}{5} = -2\frac{3}{5} = -2.6$$