Solve 38/15+22/15+18/15

$$3 \frac { 8 } { 15 } + 2 \frac { 2 } { 15 } + 1 \frac { 8 } { 15 }$$

Evaluate

$$\frac{36}{5}=7.2$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+8}{15}+\frac{2\times 15+2}{15}+\frac{1\times 15+8}{15}$$

Add 45 and 8 to get 53.

$$\frac{53}{15}+\frac{2\times 15+2}{15}+\frac{1\times 15+8}{15}$$

Multiply 2 and 15 to get 30.

$$\frac{53}{15}+\frac{30+2}{15}+\frac{1\times 15+8}{15}$$

Add 30 and 2 to get 32.

$$\frac{53}{15}+\frac{32}{15}+\frac{1\times 15+8}{15}$$

Since \frac{53}{15} and \frac{32}{15} have the same denominator, add them by adding their numerators.

$$\frac{53+32}{15}+\frac{1\times 15+8}{15}$$

Add 53 and 32 to get 85.

$$\frac{85}{15}+\frac{1\times 15+8}{15}$$

Reduce the fraction \frac{85}{15} to lowest terms by extracting and canceling out 5.

$$\frac{17}{3}+\frac{1\times 15+8}{15}$$

Multiply 1 and 15 to get 15.

$$\frac{17}{3}+\frac{15+8}{15}$$

Add 15 and 8 to get 23.

$$\frac{17}{3}+\frac{23}{15}$$

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

$$\frac{85}{15}+\frac{23}{15}$$

Since \frac{85}{15} and \frac{23}{15} have the same denominator, add them by adding their numerators.

$$\frac{85+23}{15}$$

Add 85 and 23 to get 108.

$$\frac{108}{15}$$

Reduce the fraction \frac{108}{15} to lowest terms by extracting and canceling out 3.

$$\frac{36}{5}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2}}{5} = 7\frac{1}{5} = 7.2$$