Solve 8/6+42/5=

$$\frac{ 8 }{ 6 } +4 \frac{ 2 }{ 5 } =$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{8}{6} to lowest terms by extracting and canceling out 2.

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

Multiply 4 and 5 to get 20.

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

Add 20 and 2 to get 22.

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

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

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

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

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

Add 20 and 66 to get 86.

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

Factor

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