Solve -4/9(3k+63)

$$\frac { - 4 } { 9 } ( 3 k + 63 )$$

Evaluate

$$-\frac{4k}{3}-28$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{4}{9}\left(3k+63\right)$$

Use the distributive property to multiply -\frac{4}{9} by 3k+63.

$$-\frac{4}{9}\times 3k-\frac{4}{9}\times 63$$

Express -\frac{4}{9}\times 3 as a single fraction.

$$\frac{-4\times 3}{9}k-\frac{4}{9}\times 63$$

Multiply -4 and 3 to get -12.

$$\frac{-12}{9}k-\frac{4}{9}\times 63$$

Reduce the fraction \frac{-12}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{3}k-\frac{4}{9}\times 63$$

Express -\frac{4}{9}\times 63 as a single fraction.

$$-\frac{4}{3}k+\frac{-4\times 63}{9}$$

Multiply -4 and 63 to get -252.

$$-\frac{4}{3}k+\frac{-252}{9}$$

Divide -252 by 9 to get -28.

$$-\frac{4}{3}k-28$$

Expand

$$-\frac{4k}{3}-28$$

Solution Steps

Fraction \frac{-4}{9} can be rewritten as -\frac{4}{9} by extracting the negative sign.

$$-\frac{4}{9}\left(3k+63\right)$$

Use the distributive property to multiply -\frac{4}{9} by 3k+63.

$$-\frac{4}{9}\times 3k-\frac{4}{9}\times 63$$

Express -\frac{4}{9}\times 3 as a single fraction.

$$\frac{-4\times 3}{9}k-\frac{4}{9}\times 63$$

Multiply -4 and 3 to get -12.

$$\frac{-12}{9}k-\frac{4}{9}\times 63$$

Reduce the fraction \frac{-12}{9} to lowest terms by extracting and canceling out 3.

$$-\frac{4}{3}k-\frac{4}{9}\times 63$$

Express -\frac{4}{9}\times 63 as a single fraction.

$$-\frac{4}{3}k+\frac{-4\times 63}{9}$$

Multiply -4 and 63 to get -252.

$$-\frac{4}{3}k+\frac{-252}{9}$$

Divide -252 by 9 to get -28.

$$-\frac{4}{3}k-28$$