Solve 51/4-22/5=

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

Evaluate

$$\frac{57}{20}=2.85$$

Solution Steps

Multiply 5 and 4 to get 20.

$$\frac{20+1}{4}-\frac{2\times 5+2}{5}$$

Add 20 and 1 to get 21.

$$\frac{21}{4}-\frac{2\times 5+2}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{21}{4}-\frac{10+2}{5}$$

Add 10 and 2 to get 12.

$$\frac{21}{4}-\frac{12}{5}$$

Least common multiple of 4 and 5 is 20. Convert \frac{21}{4} and \frac{12}{5} to fractions with denominator 20.

$$\frac{105}{20}-\frac{48}{20}$$

Since \frac{105}{20} and \frac{48}{20} have the same denominator, subtract them by subtracting their numerators.

$$\frac{105-48}{20}$$

Subtract 48 from 105 to get 57.

$$\frac{57}{20}$$

Factor

$$\frac{3 \cdot 19}{2 ^ {2} \cdot 5} = 2\frac{17}{20} = 2.85$$