Solve 8*3/16-2*5/8

$$8 \times \frac { 3 } { 16 } - 2 \times \frac { 5 } { 8 }$$

Evaluate

$$\frac{1}{4}=0.25$$

Solution Steps

Express 8\times \frac{3}{16} as a single fraction.

$$\frac{8\times 3}{16}-2\times \frac{5}{8}$$

Multiply 8 and 3 to get 24.

$$\frac{24}{16}-2\times \frac{5}{8}$$

Reduce the fraction \frac{24}{16} to lowest terms by extracting and canceling out 8.

$$\frac{3}{2}-2\times \frac{5}{8}$$

Express 2\times \frac{5}{8} as a single fraction.

$$\frac{3}{2}-\frac{2\times 5}{8}$$

Multiply 2 and 5 to get 10.

$$\frac{3}{2}-\frac{10}{8}$$

Reduce the fraction \frac{10}{8} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}-\frac{5}{4}$$

Least common multiple of 2 and 4 is 4. Convert \frac{3}{2} and \frac{5}{4} to fractions with denominator 4.

$$\frac{6}{4}-\frac{5}{4}$$

Since \frac{6}{4} and \frac{5}{4} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-5}{4}$$

Subtract 5 from 6 to get 1.

$$\frac{1}{4}$$

Factor

$$\frac{1}{2 ^ {2}} = 0.25$$