Solve 42/3+24/5

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

Evaluate

$$\frac{112}{15}\approx 7.466666667$$

Solution Steps

Multiply 4 and 3 to get 12.

$$\frac{12+2}{3}+\frac{2\times 5+4}{5}$$

Add 12 and 2 to get 14.

$$\frac{14}{3}+\frac{2\times 5+4}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{14}{3}+\frac{10+4}{5}$$

Add 10 and 4 to get 14.

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

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

$$\frac{70}{15}+\frac{42}{15}$$

Since \frac{70}{15} and \frac{42}{15} have the same denominator, add them by adding their numerators.

$$\frac{70+42}{15}$$

Add 70 and 42 to get 112.

$$\frac{112}{15}$$

Factor

$$\frac{2 ^ {4} \cdot 7}{3 \cdot 5} = 7\frac{7}{15} = 7.466666666666667$$