Solve 25/15+32/15

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

Evaluate

$$\frac{82}{15}\approx 5.466666667$$

Solution Steps

Multiply 2 and 15 to get 30.

$$\frac{30+5}{15}+\frac{3\times 15+2}{15}$$

Add 30 and 5 to get 35.

$$\frac{35}{15}+\frac{3\times 15+2}{15}$$

Reduce the fraction \frac{35}{15} to lowest terms by extracting and canceling out 5.

$$\frac{7}{3}+\frac{3\times 15+2}{15}$$

Multiply 3 and 15 to get 45.

$$\frac{7}{3}+\frac{45+2}{15}$$

Add 45 and 2 to get 47.

$$\frac{7}{3}+\frac{47}{15}$$

Least common multiple of 3 and 15 is 15. Convert \frac{7}{3} and \frac{47}{15} to fractions with denominator 15.

$$\frac{35}{15}+\frac{47}{15}$$

Since \frac{35}{15} and \frac{47}{15} have the same denominator, add them by adding their numerators.

$$\frac{35+47}{15}$$

Add 35 and 47 to get 82.

$$\frac{82}{15}$$

Factor

$$\frac{2 \cdot 41}{3 \cdot 5} = 5\frac{7}{15} = 5.466666666666667$$