Solve 53/7+24/5

$$5 \frac { 3 } { 7 } + 2 \frac { 4 } { 5 }$$

Evaluate

$$\frac{288}{35}\approx 8.228571429$$

Solution Steps

Multiply 5 and 7 to get 35.

$$\frac{35+3}{7}+\frac{2\times 5+4}{5}$$

Add 35 and 3 to get 38.

$$\frac{38}{7}+\frac{2\times 5+4}{5}$$

Multiply 2 and 5 to get 10.

$$\frac{38}{7}+\frac{10+4}{5}$$

Add 10 and 4 to get 14.

$$\frac{38}{7}+\frac{14}{5}$$

Least common multiple of 7 and 5 is 35. Convert \frac{38}{7} and \frac{14}{5} to fractions with denominator 35.

$$\frac{190}{35}+\frac{98}{35}$$

Since \frac{190}{35} and \frac{98}{35} have the same denominator, add them by adding their numerators.

$$\frac{190+98}{35}$$

Add 190 and 98 to get 288.

$$\frac{288}{35}$$

Factor

$$\frac{2 ^ {5} \cdot 3 ^ {2}}{5 \cdot 7} = 8\frac{8}{35} = 8.228571428571428$$