Solve 27/15+12/5

$$2 \frac { 7 } { 15 } + 1 \frac { 2 } { 5 }$$

Evaluate

$$\frac{58}{15}\approx 3.866666667$$

Solution Steps

Multiply 2 and 15 to get 30.

$$\frac{30+7}{15}+\frac{1\times 5+2}{5}$$

Add 30 and 7 to get 37.

$$\frac{37}{15}+\frac{1\times 5+2}{5}$$

Multiply 1 and 5 to get 5.

$$\frac{37}{15}+\frac{5+2}{5}$$

Add 5 and 2 to get 7.

$$\frac{37}{15}+\frac{7}{5}$$

Least common multiple of 15 and 5 is 15. Convert \frac{37}{15} and \frac{7}{5} to fractions with denominator 15.

$$\frac{37}{15}+\frac{21}{15}$$

Since \frac{37}{15} and \frac{21}{15} have the same denominator, add them by adding their numerators.

$$\frac{37+21}{15}$$

Add 37 and 21 to get 58.

$$\frac{58}{15}$$

Factor

$$\frac{2 \cdot 29}{3 \cdot 5} = 3\frac{13}{15} = 3.8666666666666667$$