Solve 1+1/32-1/4-1/2

$$1+ \frac{ 1 }{ 32 } - \frac{ 1 }{ 4 } - \frac{ 1 }{ 2 }$$

Evaluate

$$\frac{9}{32}=0.28125$$

Solution Steps

Convert 1 to fraction \frac{32}{32}.

$$\frac{32}{32}+\frac{1}{32}-\frac{1}{4}-\frac{1}{2}$$

Since \frac{32}{32} and \frac{1}{32} have the same denominator, add them by adding their numerators.

$$\frac{32+1}{32}-\frac{1}{4}-\frac{1}{2}$$

Add 32 and 1 to get 33.

$$\frac{33}{32}-\frac{1}{4}-\frac{1}{2}$$

Least common multiple of 32 and 4 is 32. Convert \frac{33}{32} and \frac{1}{4} to fractions with denominator 32.

$$\frac{33}{32}-\frac{8}{32}-\frac{1}{2}$$

Since \frac{33}{32} and \frac{8}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-8}{32}-\frac{1}{2}$$

Subtract 8 from 33 to get 25.

$$\frac{25}{32}-\frac{1}{2}$$

Least common multiple of 32 and 2 is 32. Convert \frac{25}{32} and \frac{1}{2} to fractions with denominator 32.

$$\frac{25}{32}-\frac{16}{32}$$

Since \frac{25}{32} and \frac{16}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{25-16}{32}$$

Subtract 16 from 25 to get 9.

$$\frac{9}{32}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {5}} = 0.28125$$