Solve 33/4-25/12

$$3 \frac { 3 } { 4 } - 2 \frac { 5 } { 12 }$$

Evaluate

$$\frac{4}{3}\approx 1.333333333$$

Solution Steps

Multiply 3 and 4 to get 12.

$$\frac{12+3}{4}-\frac{2\times 12+5}{12}$$

Add 12 and 3 to get 15.

$$\frac{15}{4}-\frac{2\times 12+5}{12}$$

Multiply 2 and 12 to get 24.

$$\frac{15}{4}-\frac{24+5}{12}$$

Add 24 and 5 to get 29.

$$\frac{15}{4}-\frac{29}{12}$$

Least common multiple of 4 and 12 is 12. Convert \frac{15}{4} and \frac{29}{12} to fractions with denominator 12.

$$\frac{45}{12}-\frac{29}{12}$$

Since \frac{45}{12} and \frac{29}{12} have the same denominator, subtract them by subtracting their numerators.

$$\frac{45-29}{12}$$

Subtract 29 from 45 to get 16.

$$\frac{16}{12}$$

Reduce the fraction \frac{16}{12} to lowest terms by extracting and canceling out 4.

$$\frac{4}{3}$$

Factor

$$\frac{2 ^ {2}}{3} = 1\frac{1}{3} = 1.3333333333333333$$