Solve 1/8^2div(3/56+1/8)

$$\frac { 1 } { 8 ^ { 2 } } \div ( \frac { 3 } { 56 } + \frac { 1 } { 8 } )$$

Evaluate

$$\frac{7}{80}=0.0875$$

Solution Steps

Calculate 8 to the power of 2 and get 64.

$$\frac{\frac{1}{64}}{\frac{3}{56}+\frac{1}{8}}$$

Least common multiple of 56 and 8 is 56. Convert \frac{3}{56} and \frac{1}{8} to fractions with denominator 56.

$$\frac{\frac{1}{64}}{\frac{3}{56}+\frac{7}{56}}$$

Since \frac{3}{56} and \frac{7}{56} have the same denominator, add them by adding their numerators.

$$\frac{\frac{1}{64}}{\frac{3+7}{56}}$$

Add 3 and 7 to get 10.

$$\frac{\frac{1}{64}}{\frac{10}{56}}$$

Reduce the fraction \frac{10}{56} to lowest terms by extracting and canceling out 2.

$$\frac{\frac{1}{64}}{\frac{5}{28}}$$

Divide \frac{1}{64} by \frac{5}{28} by multiplying \frac{1}{64} by the reciprocal of \frac{5}{28}.

$$\frac{1}{64}\times \frac{28}{5}$$

Multiply \frac{1}{64} times \frac{28}{5} by multiplying numerator times numerator and denominator times denominator.

$$\frac{1\times 28}{64\times 5}$$

Do the multiplications in the fraction \frac{1\times 28}{64\times 5}.

$$\frac{28}{320}$$

Reduce the fraction \frac{28}{320} to lowest terms by extracting and canceling out 4.

$$\frac{7}{80}$$

Factor

$$\frac{7}{2 ^ {4} \cdot 5} = 0.0875$$