Solve 3-(1/2+3/24)

$$3 - ( \frac { 1 } { 2 } + \frac { 3 } { 24 } )$$

Evaluate

$$\frac{19}{8}=2.375$$

Solution Steps

Reduce the fraction \frac{3}{24} to lowest terms by extracting and canceling out 3.

$$3-\left(\frac{1}{2}+\frac{1}{8}\right)$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{1}{8} to fractions with denominator 8.

$$3-\left(\frac{4}{8}+\frac{1}{8}\right)$$

Since \frac{4}{8} and \frac{1}{8} have the same denominator, add them by adding their numerators.

$$3-\frac{4+1}{8}$$

Add 4 and 1 to get 5.

$$3-\frac{5}{8}$$

Convert 3 to fraction \frac{24}{8}.

$$\frac{24}{8}-\frac{5}{8}$$

Since \frac{24}{8} and \frac{5}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{24-5}{8}$$

Subtract 5 from 24 to get 19.

$$\frac{19}{8}$$

Factor

$$\frac{19}{2 ^ {3}} = 2\frac{3}{8} = 2.375$$