Solve 13/8-11/3

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

Evaluate

$$\frac{1}{24}\approx 0.041666667$$

Solution Steps

Multiply 1 and 8 to get 8.

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

Add 8 and 3 to get 11.

$$\frac{11}{8}-\frac{1\times 3+1}{3}$$

Multiply 1 and 3 to get 3.

$$\frac{11}{8}-\frac{3+1}{3}$$

Add 3 and 1 to get 4.

$$\frac{11}{8}-\frac{4}{3}$$

Least common multiple of 8 and 3 is 24. Convert \frac{11}{8} and \frac{4}{3} to fractions with denominator 24.

$$\frac{33}{24}-\frac{32}{24}$$

Since \frac{33}{24} and \frac{32}{24} have the same denominator, subtract them by subtracting their numerators.

$$\frac{33-32}{24}$$

Subtract 32 from 33 to get 1.

$$\frac{1}{24}$$

Factor

$$\frac{1}{2 ^ {3} \cdot 3} = 0.041666666666666664$$