Solve (0.875-5/6)*0.25div3/8

$$(0.875- \frac{ 5 }{ 6 } ) \times 0.25 \div \frac{ 3 }{ 8 }$$

Evaluate

$$\frac{1}{36}\approx 0.027777778$$

Solution Steps

Convert decimal number 0.875 to fraction \frac{875}{1000}. Reduce the fraction \frac{875}{1000} to lowest terms by extracting and canceling out 125.

$$\frac{\left(\frac{7}{8}-\frac{5}{6}\right)\times 0.25}{\frac{3}{8}}$$

Least common multiple of 8 and 6 is 24. Convert \frac{7}{8} and \frac{5}{6} to fractions with denominator 24.

$$\frac{\left(\frac{21}{24}-\frac{20}{24}\right)\times 0.25}{\frac{3}{8}}$$

Since \frac{21}{24} and \frac{20}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{21-20}{24}\times 0.25}{\frac{3}{8}}$$

Subtract 20 from 21 to get 1.

$$\frac{\frac{1}{24}\times 0.25}{\frac{3}{8}}$$

Convert decimal number 0.25 to fraction \frac{25}{100}. Reduce the fraction \frac{25}{100} to lowest terms by extracting and canceling out 25.

$$\frac{\frac{1}{24}\times \frac{1}{4}}{\frac{3}{8}}$$

Multiply \frac{1}{24} times \frac{1}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{1\times 1}{24\times 4}}{\frac{3}{8}}$$

Do the multiplications in the fraction \frac{1\times 1}{24\times 4}.

$$\frac{\frac{1}{96}}{\frac{3}{8}}$$

Divide \frac{1}{96} by \frac{3}{8} by multiplying \frac{1}{96} by the reciprocal of \frac{3}{8}.

$$\frac{1}{96}\times \frac{8}{3}$$

Multiply \frac{1}{96} times \frac{8}{3} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 8}{96\times 3}$$

Do the multiplications in the fraction \frac{1\times 8}{96\times 3}.

$$\frac{8}{288}$$

Reduce the fraction \frac{8}{288} to lowest terms by extracting and canceling out 8.

$$\frac{1}{36}$$

Factor

$$\frac{1}{2 ^ {2} \cdot 3 ^ {2}} = 0.027777777777777776$$