Solve 52/3+24/5=

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

Evaluate

$$\frac{127}{15}\approx 8.466666667$$

Solution Steps

Multiply 5 and 3 to get 15.

$$\frac{15+2}{3}+\frac{2\times 5+4}{5}$$

Add 15 and 2 to get 17.

$$\frac{17}{3}+\frac{2\times 5+4}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{17}{3}+\frac{10+4}{5}$$

Add 10 and 4 to get 14.

$$\frac{17}{3}+\frac{14}{5}$$

Least common multiple of 3 and 5 is 15. Convert \frac{17}{3} and \frac{14}{5} to fractions with denominator 15.

$$\frac{85}{15}+\frac{42}{15}$$

Since \frac{85}{15} and \frac{42}{15} have the same denominator, add them by adding their numerators.

$$\frac{85+42}{15}$$

Add 85 and 42 to get 127.

$$\frac{127}{15}$$

Factor

$$\frac{127}{3 \cdot 5} = 8\frac{7}{15} = 8.466666666666667$$