Solve 1/24div1/16div0.125

$$\frac { 1 } { 24 } \div \frac { 1 } { 16 } \div 0.125$$

Evaluate

$$\frac{16}{3}\approx 5.333333333$$

Solution Steps

Express \frac{\frac{\frac{1}{24}}{\frac{1}{16}}}{0.125} as a single fraction.

$$\frac{\frac{1}{24}}{\frac{1}{16}\times 0.125}$$

Convert decimal number 0.125 to fraction \frac{125}{1000}. Reduce the fraction \frac{125}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\frac{1}{24}}{\frac{1}{16}\times \frac{1}{8}}$$

Multiply \frac{1}{16} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1}{24}}{\frac{1\times 1}{16\times 8}}$$

Do the multiplications in the fraction \frac{1\times 1}{16\times 8}.

$$\frac{\frac{1}{24}}{\frac{1}{128}}$$

Divide \frac{1}{24} by \frac{1}{128} by multiplying \frac{1}{24} by the reciprocal of \frac{1}{128}.

$$\frac{1}{24}\times 128$$

Multiply \frac{1}{24} and 128 to get \frac{128}{24}.

$$\frac{128}{24}$$

Reduce the fraction \frac{128}{24} to lowest terms by extracting and canceling out 8.

$$\frac{16}{3}$$

Factor

$$\frac{2 ^ {4}}{3} = 5\frac{1}{3} = 5.333333333333333$$