Solve 93/5+42/3

$$9 \frac { 3 } { 5 } + 4 \frac { 2 } { 3 }$$

Evaluate

$$\frac{214}{15}\approx 14.266666667$$

Solution Steps

Multiply 9 and 5 to get 45.

$$\frac{45+3}{5}+\frac{4\times 3+2}{3}$$

Add 45 and 3 to get 48.

$$\frac{48}{5}+\frac{4\times 3+2}{3}$$

Multiply 4 and 3 to get 12.

$$\frac{48}{5}+\frac{12+2}{3}$$

Add 12 and 2 to get 14.

$$\frac{48}{5}+\frac{14}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{48}{5} and \frac{14}{3} to fractions with denominator 15.

$$\frac{144}{15}+\frac{70}{15}$$

Since \frac{144}{15} and \frac{70}{15} have the same denominator, add them by adding their numerators.

$$\frac{144+70}{15}$$

Add 144 and 70 to get 214.

$$\frac{214}{15}$$

Factor

$$\frac{2 \cdot 107}{3 \cdot 5} = 14\frac{4}{15} = 14.266666666666667$$