Solve 1/32*3-1/2+2

$$\frac{ 1 }{ 32 } \times 3- \frac{ 1 }{ 2 } +2$$

Evaluate

$$\frac{51}{32}=1.59375$$

Solution Steps

Multiply \frac{1}{32} and 3 to get \frac{3}{32}.

$$\frac{3}{32}-\frac{1}{2}+2$$

Least common multiple of 32 and 2 is 32. Convert \frac{3}{32} and \frac{1}{2} to fractions with denominator 32.

$$\frac{3}{32}-\frac{16}{32}+2$$

Since \frac{3}{32} and \frac{16}{32} have the same denominator, subtract them by subtracting their numerators.

$$\frac{3-16}{32}+2$$

Subtract 16 from 3 to get -13.

$$-\frac{13}{32}+2$$

Convert 2 to fraction \frac{64}{32}.

$$-\frac{13}{32}+\frac{64}{32}$$

Since -\frac{13}{32} and \frac{64}{32} have the same denominator, add them by adding their numerators.

$$\frac{-13+64}{32}$$

Add -13 and 64 to get 51.

$$\frac{51}{32}$$

Factor

$$\frac{3 \cdot 17}{2 ^ {5}} = 1\frac{19}{32} = 1.59375$$