Solve 12/3div5*11/8

$$1 \frac { 2 } { 3 } \div 5 \times 1 \frac { 1 } { 8 }$$

Evaluate

$$\frac{3}{8}=0.375$$

Solution Steps

Express \frac{\frac{1\times 3+2}{3}}{5} as a single fraction.

$$\frac{1\times 3+2}{3\times 5}\times \frac{1\times 8+1}{8}$$

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3\times 5}\times \frac{1\times 8+1}{8}$$

Add 3 and 2 to get 5.

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

Multiply 3 and 5 to get 15.

$$\frac{5}{15}\times \frac{1\times 8+1}{8}$$

Reduce the fraction \frac{5}{15} to lowest terms by extracting and canceling out 5.

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

Multiply 1 and 8 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{1}{3}\times \frac{9}{8}$$

Multiply \frac{1}{3} times \frac{9}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 9}{3\times 8}$$

Do the multiplications in the fraction \frac{1\times 9}{3\times 8}.

$$\frac{9}{24}$$

Reduce the fraction \frac{9}{24} to lowest terms by extracting and canceling out 3.

$$\frac{3}{8}$$

Factor

$$\frac{3}{2 ^ {3}} = 0.375$$