Solve 43/5+52/3

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

Evaluate

$$\frac{154}{15}\approx 10.266666667$$

Solution Steps

Multiply 4 and 5 to get 20.

$$\frac{20+3}{5}+\frac{5\times 3+2}{3}$$

Add 20 and 3 to get 23.

$$\frac{23}{5}+\frac{5\times 3+2}{3}$$

Multiply 5 and 3 to get 15.

$$\frac{23}{5}+\frac{15+2}{3}$$

Add 15 and 2 to get 17.

$$\frac{23}{5}+\frac{17}{3}$$

Least common multiple of 5 and 3 is 15. Convert \frac{23}{5} and \frac{17}{3} to fractions with denominator 15.

$$\frac{69}{15}+\frac{85}{15}$$

Since \frac{69}{15} and \frac{85}{15} have the same denominator, add them by adding their numerators.

$$\frac{69+85}{15}$$

Add 69 and 85 to get 154.

$$\frac{154}{15}$$

Factor

$$\frac{2 \cdot 7 \cdot 11}{3 \cdot 5} = 10\frac{4}{15} = 10.266666666666667$$