Solve 4/5+4/3+8

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

Evaluate

$$\frac{152}{15}\approx 10.133333333$$

Solution Steps

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

$$\frac{12}{15}+\frac{20}{15}+8$$

Since \frac{12}{15} and \frac{20}{15} have the same denominator, add them by adding their numerators.

$$\frac{12+20}{15}+8$$

Add 12 and 20 to get 32.

$$\frac{32}{15}+8$$

Convert 8 to fraction \frac{120}{15}.

$$\frac{32}{15}+\frac{120}{15}$$

Since \frac{32}{15} and \frac{120}{15} have the same denominator, add them by adding their numerators.

$$\frac{32+120}{15}$$

Add 32 and 120 to get 152.

$$\frac{152}{15}$$

Factor

$$\frac{2 ^ {3} \cdot 19}{3 \cdot 5} = 10\frac{2}{15} = 10.133333333333333$$