Solve 1/24div1/1,6div0.125

$$\frac { 1 } { 24 } \div \frac { 1 } { 1,6 } \div 0.125$$

Evaluate

$$\frac{8}{15}\approx 0.533333333$$

Solution Steps

Express \frac{\frac{\frac{1}{24}}{\frac{1}{1.6}}}{0.125} as a single fraction.

$$\frac{\frac{1}{24}}{\frac{1}{1.6}\times 0.125}$$

Expand \frac{1}{1.6} by multiplying both numerator and the denominator by 10.

$$\frac{\frac{1}{24}}{\frac{10}{16}\times 0.125}$$

Reduce the fraction \frac{10}{16} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{24}}{\frac{5}{8}\times 0.125}$$

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.

$$\frac{\frac{1}{24}}{\frac{5}{8}\times \frac{1}{8}}$$

Multiply \frac{5}{8} times \frac{1}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1}{24}}{\frac{5\times 1}{8\times 8}}$$

Do the multiplications in the fraction \frac{5\times 1}{8\times 8}.

$$\frac{\frac{1}{24}}{\frac{5}{64}}$$

Divide \frac{1}{24} by \frac{5}{64} by multiplying \frac{1}{24} by the reciprocal of \frac{5}{64}.

$$\frac{1}{24}\times \frac{64}{5}$$

Multiply \frac{1}{24} times \frac{64}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 64}{24\times 5}$$

Do the multiplications in the fraction \frac{1\times 64}{24\times 5}.

$$\frac{64}{120}$$

Reduce the fraction \frac{64}{120} to lowest terms by extracting and canceling out 8.

$$\frac{8}{15}$$

Factor

$$\frac{2 ^ {3}}{3 \cdot 5} = 0.5333333333333333$$