Solve 42/5+4/3=

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

Evaluate

$$\frac{86}{15}\approx 5.733333333$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+2}{5}+\frac{4}{3}$$

Add 20 and 2 to get 22.

$$\frac{22}{5}+\frac{4}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{22}{5} and \frac{4}{3} to fractions with denominator 15.

$$\frac{66}{15}+\frac{20}{15}$$

Since \frac{66}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{66+20}{15}$$

Add 66 and 20 to get 86.

$$\frac{86}{15}$$

Factor

$$\frac{2 \cdot 43}{3 \cdot 5} = 5\frac{11}{15} = 5.733333333333333$$