Solve 3/8left(4-2right)+5/16left(8-4right)

$$\frac{ 3 }{ 8 } \left( 4-2 \right) + \frac{ 5 }{ 16 } \left( 8-4 \right)$$

Evaluate

$$2$$

Solution Steps

Subtract 2 from 4 to get 2.

$$\frac{3}{8}\times 2+\frac{5}{16}\left(8-4\right)$$

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

$$\frac{3\times 2}{8}+\frac{5}{16}\left(8-4\right)$$

Multiply 3 and 2 to get 6.

$$\frac{6}{8}+\frac{5}{16}\left(8-4\right)$$

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

$$\frac{3}{4}+\frac{5}{16}\left(8-4\right)$$

Subtract 4 from 8 to get 4.

$$\frac{3}{4}+\frac{5}{16}\times 4$$

Express \frac{5}{16}\times 4 as a single fraction.

$$\frac{3}{4}+\frac{5\times 4}{16}$$

Multiply 5 and 4 to get 20.

$$\frac{3}{4}+\frac{20}{16}$$

Reduce the fraction \frac{20}{16} to lowest terms by extracting and canceling out 4.

$$\frac{3}{4}+\frac{5}{4}$$

Since \frac{3}{4} and \frac{5}{4} have the same denominator, add them by adding their numerators.

$$\frac{3+5}{4}$$

Add 3 and 5 to get 8.

$$\frac{8}{4}$$

Divide 8 by 4 to get 2.

$$2$$

Factor

$$2$$