Solve 22/5-11/4

$$2 \frac { 2 } { 5 } - 1 \frac { 1 } { 4 }$$

Evaluate

$$\frac{23}{20}=1.15$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+2}{5}-\frac{1\times 4+1}{4}$$

Add 10 and 2 to get 12.

$$\frac{12}{5}-\frac{1\times 4+1}{4}$$

Multiply 1 and 4 to get 4.

$$\frac{12}{5}-\frac{4+1}{4}$$

Add 4 and 1 to get 5.

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

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

$$\frac{48}{20}-\frac{25}{20}$$

Since \frac{48}{20} and \frac{25}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{48-25}{20}$$

Subtract 25 from 48 to get 23.

$$\frac{23}{20}$$

Factor

$$\frac{23}{2 ^ {2} \cdot 5} = 1\frac{3}{20} = 1.15$$