Solve 62/5+23/4

$$6 \frac { 2 } { 5 } + 2 \frac { 3 } { 4 }$$

Evaluate

$$\frac{183}{20}=9.15$$

Solution Steps

Multiply 6 and 5 to get 30.

$$\frac{30+2}{5}+\frac{2\times 4+3}{4}$$

Add 30 and 2 to get 32.

$$\frac{32}{5}+\frac{2\times 4+3}{4}$$

Multiply 2 and 4 to get 8.

$$\frac{32}{5}+\frac{8+3}{4}$$

Add 8 and 3 to get 11.

$$\frac{32}{5}+\frac{11}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{32}{5} and \frac{11}{4} to fractions with denominator 20.

$$\frac{128}{20}+\frac{55}{20}$$

Since \frac{128}{20} and \frac{55}{20} have the same denominator, add them by adding their numerators.

$$\frac{128+55}{20}$$

Add 128 and 55 to get 183.

$$\frac{183}{20}$$

Factor

$$\frac{3 \cdot 61}{2 ^ {2} \cdot 5} = 9\frac{3}{20} = 9.15$$