Solve 7/8*5/16-3/16*5/8

$$\frac{ 7 }{ 8 } \times \frac{ 5 }{ 16 } - \frac{ 3 }{ 16 } \times \frac{ 5 }{ 8 }$$

Evaluate

$$\frac{5}{32}=0.15625$$

Solution Steps

Multiply \frac{7}{8} times \frac{5}{16} by multiplying numerator times numerator and denominator times denominator.

$$\frac{7\times 5}{8\times 16}-\frac{3}{16}\times \frac{5}{8}$$

Do the multiplications in the fraction \frac{7\times 5}{8\times 16}.

$$\frac{35}{128}-\frac{3}{16}\times \frac{5}{8}$$

Multiply \frac{3}{16} times \frac{5}{8} by multiplying numerator times numerator and denominator times denominator.

$$\frac{35}{128}-\frac{3\times 5}{16\times 8}$$

Do the multiplications in the fraction \frac{3\times 5}{16\times 8}.

$$\frac{35}{128}-\frac{15}{128}$$

Since \frac{35}{128} and \frac{15}{128} have the same denominator, subtract them by subtracting their numerators.

$$\frac{35-15}{128}$$

Subtract 15 from 35 to get 20.

$$\frac{20}{128}$$

Reduce the fraction \frac{20}{128} to lowest terms by extracting and canceling out 4.

$$\frac{5}{32}$$

Factor

$$\frac{5}{2 ^ {5}} = 0.15625$$