Solve 11/3-1/2/1frac{1{3}}

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

Evaluate

$$\frac{5}{8}=0.625$$

Solution Steps

Multiply 1 and 3 to get 3.

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

Add 3 and 1 to get 4.

$$\frac{\frac{4}{3}-\frac{1}{2}}{\frac{1\times 3+1}{3}}$$

Least common multiple of 3 and 2 is 6. Convert \frac{4}{3} and \frac{1}{2} to fractions with denominator 6.

$$\frac{\frac{8}{6}-\frac{3}{6}}{\frac{1\times 3+1}{3}}$$

Since \frac{8}{6} and \frac{3}{6} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{8-3}{6}}{\frac{1\times 3+1}{3}}$$

Subtract 3 from 8 to get 5.

$$\frac{\frac{5}{6}}{\frac{1\times 3+1}{3}}$$

Multiply 1 and 3 to get 3.

$$\frac{\frac{5}{6}}{\frac{3+1}{3}}$$

Add 3 and 1 to get 4.

$$\frac{\frac{5}{6}}{\frac{4}{3}}$$

Divide \frac{5}{6} by \frac{4}{3} by multiplying \frac{5}{6} by the reciprocal of \frac{4}{3}.

$$\frac{5}{6}\times \frac{3}{4}$$

Multiply \frac{5}{6} times \frac{3}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{5\times 3}{6\times 4}$$

Do the multiplications in the fraction \frac{5\times 3}{6\times 4}.

$$\frac{15}{24}$$

Reduce the fraction \frac{15}{24} to lowest terms by extracting and canceling out 3.

$$\frac{5}{8}$$

Factor

$$\frac{5}{2 ^ {3}} = 0.625$$