Solve 3/8(4-2)+3/16(8-4)

$$\frac { 3 } { 8 } ( 4 - 2 ) + \frac { 3 } { 16 } ( 8 - 4 )$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{3}{8}\times 2+\frac{3}{16}\left(8-4\right)$$

Express \frac{3}{8}\times 2 as a single fraction.

$$\frac{3\times 2}{8}+\frac{3}{16}\left(8-4\right)$$

Multiply 3 and 2 to get 6.

$$\frac{6}{8}+\frac{3}{16}\left(8-4\right)$$

Reduce the fraction \frac{6}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{4}+\frac{3}{16}\left(8-4\right)$$

Subtract 4 from 8 to get 4.

$$\frac{3}{4}+\frac{3}{16}\times 4$$

Express \frac{3}{16}\times 4 as a single fraction.

$$\frac{3}{4}+\frac{3\times 4}{16}$$

Multiply 3 and 4 to get 12.

$$\frac{3}{4}+\frac{12}{16}$$

Reduce the fraction \frac{12}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{3}{4}$$

Since \frac{3}{4} and \frac{3}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+3}{4}$$

Add 3 and 3 to get 6.

$$\frac{6}{4}$$

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

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$