Solve 22/5+51/4

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

Evaluate

$$\frac{153}{20}=7.65$$

Solution Steps

Multiply 2 and 5 to get 10.

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

Add 10 and 2 to get 12.

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

Multiply 5 and 4 to get 20.

$$\frac{12}{5}+\frac{20+1}{4}$$

Add 20 and 1 to get 21.

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

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

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

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

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

Add 48 and 105 to get 153.

$$\frac{153}{20}$$

Factor

$$\frac{3 ^ {2} \cdot 17}{2 ^ {2} \cdot 5} = 7\frac{13}{20} = 7.65$$