Solve 17/32-(3/32+5/16)=

$$\frac { 17 } { 32 } - ( \frac { 3 } { 32 } + \frac { 5 } { 16 } ) =$$

Evaluate

$$\frac{1}{8}=0.125$$

Solution Steps

Least common multiple of 32 and 16 is 32. Convert \frac{3}{32} and \frac{5}{16} to fractions with denominator 32.

$$\frac{17}{32}-\left(\frac{3}{32}+\frac{10}{32}\right)$$

Since \frac{3}{32} and \frac{10}{32} have the same denominator, add them by adding their numerators.

$$\frac{17}{32}-\frac{3+10}{32}$$

Add 3 and 10 to get 13.

$$\frac{17}{32}-\frac{13}{32}$$

Since \frac{17}{32} and \frac{13}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{17-13}{32}$$

Subtract 13 from 17 to get 4.

$$\frac{4}{32}$$

Reduce the fraction \frac{4}{32} to lowest terms by extracting and canceling out 4.

$$\frac{1}{8}$$

Factor

$$\frac{1}{2 ^ {3}} = 0.125$$