Solve 2-1/3-(1/2-3/8)

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

Evaluate

$$\frac{37}{24}\approx 1.541666667$$

Solution Steps

Convert 2 to fraction \frac{6}{3}.

$$\frac{6}{3}-\frac{1}{3}-\left(\frac{1}{2}-\frac{3}{8}\right)$$

Since \frac{6}{3} and \frac{1}{3} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6-1}{3}-\left(\frac{1}{2}-\frac{3}{8}\right)$$

Subtract 1 from 6 to get 5.

$$\frac{5}{3}-\left(\frac{1}{2}-\frac{3}{8}\right)$$

Least common multiple of 2 and 8 is 8. Convert \frac{1}{2} and \frac{3}{8} to fractions with denominator 8.

$$\frac{5}{3}-\left(\frac{4}{8}-\frac{3}{8}\right)$$

Since \frac{4}{8} and \frac{3}{8} have the same denominator, subtract them by subtracting their numerators.

$$\frac{5}{3}-\frac{4-3}{8}$$

Subtract 3 from 4 to get 1.

$$\frac{5}{3}-\frac{1}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{5}{3} and \frac{1}{8} to fractions with denominator 24.

$$\frac{40}{24}-\frac{3}{24}$$

Since \frac{40}{24} and \frac{3}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-3}{24}$$

Subtract 3 from 40 to get 37.

$$\frac{37}{24}$$

Factor

$$\frac{37}{2 ^ {3} \cdot 3} = 1\frac{13}{24} = 1.5416666666666667$$