Solve 5/3div1/16*5/8

$$\frac{ 5 }{ 3 } \div \frac{ 1 }{ 16 } \times \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{50}{3}\approx 16.666666667$$

Solution Steps

Divide \frac{5}{3} by \frac{1}{16} by multiplying \frac{5}{3} by the reciprocal of \frac{1}{16}.

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

Express \frac{5}{3}\times 16 as a single fraction.

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

Multiply 5 and 16 to get 80.

$$\frac{80}{3}\times \frac{5}{8}$$

Multiply \frac{80}{3} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{80\times 5}{3\times 8}$$

Do the multiplications in the fraction \frac{80\times 5}{3\times 8}.

$$\frac{400}{24}$$

Reduce the fraction \frac{400}{24} to lowest terms by extracting and canceling out 8.

$$\frac{50}{3}$$

Factor

$$\frac{2 \cdot 5 ^ {2}}{3} = 16\frac{2}{3} = 16.666666666666668$$