Solve 35/64div(1/8+3/4)

$$\frac { 35 } { 64 } \div ( \frac { 1 } { 8 } + \frac { 3 } { 4 } )$$

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Least common multiple of 8 and 4 is 8. Convert \frac{1}{8} and \frac{3}{4} to fractions with denominator 8.

$$\frac{\frac{35}{64}}{\frac{1}{8}+\frac{6}{8}}$$

Since \frac{1}{8} and \frac{6}{8} have the same denominator, add them by adding their numerators.

$$\frac{\frac{35}{64}}{\frac{1+6}{8}}$$

Add 1 and 6 to get 7.

$$\frac{\frac{35}{64}}{\frac{7}{8}}$$

Divide \frac{35}{64} by \frac{7}{8} by multiplying \frac{35}{64} by the reciprocal of \frac{7}{8}.

$$\frac{35}{64}\times \frac{8}{7}$$

Multiply \frac{35}{64} times \frac{8}{7} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35\times 8}{64\times 7}$$

Do the multiplications in the fraction \frac{35\times 8}{64\times 7}.

$$\frac{280}{448}$$

Reduce the fraction \frac{280}{448} to lowest terms by extracting and canceling out 56.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$