Solve -4/6(3/6q-5/3)

$$- \frac { 4 } { 6 } ( \frac { 3 } { 6 } q - \frac { 5 } { 3 } )$$

Evaluate

$$-\frac{q}{3}+\frac{10}{9}$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{3}\left(\frac{3}{6}q-\frac{5}{3}\right)$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{3}\left(\frac{1}{2}q-\frac{5}{3}\right)$$

Use the distributive property to multiply -\frac{2}{3} by \frac{1}{2}q-\frac{5}{3}.

$$-\frac{2}{3}\times \frac{1}{2}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Multiply -\frac{2}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-2}{3\times 2}.

$$\frac{-2}{6}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{3}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Multiply -\frac{2}{3} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{3}q+\frac{-2\left(-5\right)}{3\times 3}$$

Do the multiplications in the fraction \frac{-2\left(-5\right)}{3\times 3}.

$$-\frac{1}{3}q+\frac{10}{9}$$

Expand

$$-\frac{q}{3}+\frac{10}{9}$$

Solution Steps

Reduce the fraction \frac{4}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{2}{3}\left(\frac{3}{6}q-\frac{5}{3}\right)$$

Reduce the fraction \frac{3}{6} to lowest terms by extracting and canceling out 3.

$$-\frac{2}{3}\left(\frac{1}{2}q-\frac{5}{3}\right)$$

Use the distributive property to multiply -\frac{2}{3} by \frac{1}{2}q-\frac{5}{3}.

$$-\frac{2}{3}\times \frac{1}{2}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Multiply -\frac{2}{3} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

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

Do the multiplications in the fraction \frac{-2}{3\times 2}.

$$\frac{-2}{6}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Reduce the fraction \frac{-2}{6} to lowest terms by extracting and canceling out 2.

$$-\frac{1}{3}q-\frac{2}{3}\left(-\frac{5}{3}\right)$$

Multiply -\frac{2}{3} times -\frac{5}{3} by multiplying numerator times numerator and denominator times denominator.

$$-\frac{1}{3}q+\frac{-2\left(-5\right)}{3\times 3}$$

Do the multiplications in the fraction \frac{-2\left(-5\right)}{3\times 3}.

$$-\frac{1}{3}q+\frac{10}{9}$$