Solve 42/5+21/3=

$$4 \frac { 2 } { 5 } + 2 \frac { 1 } { 3 } =$$

Evaluate

$$\frac{101}{15}\approx 6.733333333$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}+\frac{2\times 3+1}{3}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}+\frac{2\times 3+1}{3}$$

Multiply 2 and 3 to get 6.

$$\frac{22}{5}+\frac{6+1}{3}$$

Add 6 and 1 to get 7.

$$\frac{22}{5}+\frac{7}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{22}{5} and \frac{7}{3} to fractions with denominator 15.

$$\frac{66}{15}+\frac{35}{15}$$

Since \frac{66}{15} and \frac{35}{15} have the same denominator, add them by adding their numerators.

$$\frac{66+35}{15}$$

Add 66 and 35 to get 101.

$$\frac{101}{15}$$

Factor

$$\frac{101}{3 \cdot 5} = 6\frac{11}{15} = 6.733333333333333$$