Solve 1/48-(-3/32)

$$\frac { 1 } { 48 } - ( \frac { - 3 } { 32 } )$$

Evaluate

$$\frac{11}{96}\approx 0.114583333$$

Solution Steps

Fraction \frac{-3}{32} can be rewritten as -\frac{3}{32} by extracting the negative sign.

$$\frac{1}{48}-\left(-\frac{3}{32}\right)$$

The opposite of -\frac{3}{32} is \frac{3}{32}.

$$\frac{1}{48}+\frac{3}{32}$$

Least common multiple of 48 and 32 is 96. Convert \frac{1}{48} and \frac{3}{32} to fractions with denominator 96.

$$\frac{2}{96}+\frac{9}{96}$$

Since \frac{2}{96} and \frac{9}{96} have the same denominator, add them by adding their numerators.

$$\frac{2+9}{96}$$

Add 2 and 9 to get 11.

$$\frac{11}{96}$$

Factor

$$\frac{11}{2 ^ {5} \cdot 3} = 0.11458333333333333$$