Solve 33/4-22/5

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

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Multiply 3 and 4 to get 12.

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

Add 12 and 3 to get 15.

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

Multiply 2 and 5 to get 10.

$$\frac{15}{4}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

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

Least common multiple of 4 and 5 is 20. Convert \frac{15}{4} and \frac{12}{5} to fractions with denominator 20.

$$\frac{75}{20}-\frac{48}{20}$$

Since \frac{75}{20} and \frac{48}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{75-48}{20}$$

Subtract 48 from 75 to get 27.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$