Solve 2/3*15*17/8

$$\frac { 2 } { 3 } \times 15 \times 1 \frac { 7 } { 8 }$$

Evaluate

$$\frac{75}{4}=18.75$$

Solution Steps

Express \frac{2}{3}\times 15 as a single fraction.

$$\frac{2\times 15}{3}\times \frac{1\times 8+7}{8}$$

Multiply 2 and 15 to get 30.

$$\frac{30}{3}\times \frac{1\times 8+7}{8}$$

Divide 30 by 3 to get 10.

$$10\times \frac{1\times 8+7}{8}$$

Multiply 1 and 8 to get 8.

$$10\times \frac{8+7}{8}$$

Add 8 and 7 to get 15.

$$10\times \frac{15}{8}$$

Express 10\times \frac{15}{8} as a single fraction.

$$\frac{10\times 15}{8}$$

Multiply 10 and 15 to get 150.

$$\frac{150}{8}$$

Reduce the fraction \frac{150}{8} to lowest terms by extracting and canceling out 2.

$$\frac{75}{4}$$

Factor

$$\frac{3 \cdot 5 ^ {2}}{2 ^ {2}} = 18\frac{3}{4} = 18.75$$