Solve 23/5+24/15

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

Evaluate

$$\frac{73}{15}\approx 4.866666667$$

Solution Steps

Multiply 2 and 5 to get 10.

$$\frac{10+3}{5}+\frac{2\times 15+4}{15}$$

Add 10 and 3 to get 13.

$$\frac{13}{5}+\frac{2\times 15+4}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{13}{5}+\frac{30+4}{15}$$

Add 30 and 4 to get 34.

$$\frac{13}{5}+\frac{34}{15}$$

Least common multiple of 5 and 15 is 15. Convert \frac{13}{5} and \frac{34}{15} to fractions with denominator 15.

$$\frac{39}{15}+\frac{34}{15}$$

Since \frac{39}{15} and \frac{34}{15} have the same denominator, add them by adding their numerators.

$$\frac{39+34}{15}$$

Add 39 and 34 to get 73.

$$\frac{73}{15}$$

Factor

$$\frac{73}{3 \cdot 5} = 4\frac{13}{15} = 4.866666666666666$$