Solve 31/3-25/12=

$$3 \frac { 1 } { 3 } - 2 \frac { 5 } { 12 } =$$

Evaluate

$$\frac{11}{12}\approx 0.916666667$$

Solution Steps

Multiply 3 and 3 to get 9.

$$\frac{9+1}{3}-\frac{2\times 12+5}{12}$$

Add 9 and 1 to get 10.

$$\frac{10}{3}-\frac{2\times 12+5}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{10}{3}-\frac{24+5}{12}$$

Add 24 and 5 to get 29.

$$\frac{10}{3}-\frac{29}{12}$$

Least common multiple of 3 and 12 is 12. Convert \frac{10}{3} and \frac{29}{12} to fractions with denominator 12.

$$\frac{40}{12}-\frac{29}{12}$$

Since \frac{40}{12} and \frac{29}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{40-29}{12}$$

Subtract 29 from 40 to get 11.

$$\frac{11}{12}$$

Factor

$$\frac{11}{2 ^ {2} \cdot 3} = 0.9166666666666666$$