Solve 12/3-11/8

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

Evaluate

$$\frac{13}{24}\approx 0.541666667$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+2}{3}-\frac{1\times 8+1}{8}$$

Add 3 and 2 to get 5.

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

Multiply 1 and 8 to get 8.

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

Add 8 and 1 to get 9.

$$\frac{5}{3}-\frac{9}{8}$$

Least common multiple of 3 and 8 is 24. Convert \frac{5}{3} and \frac{9}{8} to fractions with denominator 24.

$$\frac{40}{24}-\frac{27}{24}$$

Since \frac{40}{24} and \frac{27}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-27}{24}$$

Subtract 27 from 40 to get 13.

$$\frac{13}{24}$$

Factor

$$\frac{13}{2 ^ {3} \cdot 3} = 0.5416666666666666$$