Solve 3/1*5/8-11/8

$$\frac { 3 } { 1 } \times \frac { 5 } { 8 } - 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Anything divided by one gives itself.

$$3\times \frac{5}{8}-\frac{1\times 8+1}{8}$$

Express 3\times \frac{5}{8} as a single fraction.

$$\frac{3\times 5}{8}-\frac{1\times 8+1}{8}$$

Multiply 3 and 5 to get 15.

$$\frac{15}{8}-\frac{1\times 8+1}{8}$$

Multiply 1 and 8 to get 8.

$$\frac{15}{8}-\frac{8+1}{8}$$

Add 8 and 1 to get 9.

$$\frac{15}{8}-\frac{9}{8}$$

Since \frac{15}{8} and \frac{9}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{15-9}{8}$$

Subtract 9 from 15 to get 6.

$$\frac{6}{8}$$

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

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

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$