Solve 5/8-7/16*1/2

$$\frac { 5 } { 8 } - \frac { 7 } { 16 } \times \frac { 1 } { 2 }$$

Evaluate

$$\frac{13}{32}=0.40625$$

Solution Steps

Multiply \frac{7}{16} times \frac{1}{2} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5}{8}-\frac{7\times 1}{16\times 2}$$

Do the multiplications in the fraction \frac{7\times 1}{16\times 2}.

$$\frac{5}{8}-\frac{7}{32}$$

Least common multiple of 8 and 32 is 32. Convert \frac{5}{8} and \frac{7}{32} to fractions with denominator 32.

$$\frac{20}{32}-\frac{7}{32}$$

Since \frac{20}{32} and \frac{7}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{20-7}{32}$$

Subtract 7 from 20 to get 13.

$$\frac{13}{32}$$

Factor

$$\frac{13}{2 ^ {5}} = 0.40625$$