Solve 33/5+211/20

$$3 \frac { 3 } { 5 } + 2 \frac { 11 } { 20 }$$

Evaluate

$$\frac{123}{20}=6.15$$

Solution Steps

Multiply 3 and 5 to get 15.

$$\frac{15+3}{5}+\frac{2\times 20+11}{20}$$

Add 15 and 3 to get 18.

$$\frac{18}{5}+\frac{2\times 20+11}{20}$$

Multiply 2 and 20 to get 40.

$$\frac{18}{5}+\frac{40+11}{20}$$

Add 40 and 11 to get 51.

$$\frac{18}{5}+\frac{51}{20}$$

Least common multiple of 5 and 20 is 20. Convert \frac{18}{5} and \frac{51}{20} to fractions with denominator 20.

$$\frac{72}{20}+\frac{51}{20}$$

Since \frac{72}{20} and \frac{51}{20} have the same denominator, add them by adding their numerators.

$$\frac{72+51}{20}$$

Add 72 and 51 to get 123.

$$\frac{123}{20}$$

Factor

$$\frac{3 \cdot 41}{2 ^ {2} \cdot 5} = 6\frac{3}{20} = 6.15$$