Solve 311/15+39/15

$$3 \frac { 11 } { 15 } + 3 \frac { 9 } { 15 }$$

Evaluate

$$\frac{22}{3}\approx 7.333333333$$

Solution Steps

Multiply 3 and 15 to get 45.

$$\frac{45+11}{15}+\frac{3\times 15+9}{15}$$

Add 45 and 11 to get 56.

$$\frac{56}{15}+\frac{3\times 15+9}{15}$$

Multiply 3 and 15 to get 45.

$$\frac{56}{15}+\frac{45+9}{15}$$

Add 45 and 9 to get 54.

$$\frac{56}{15}+\frac{54}{15}$$

Since \frac{56}{15} and \frac{54}{15} have the same denominator, add them by adding their numerators.

$$\frac{56+54}{15}$$

Add 56 and 54 to get 110.

$$\frac{110}{15}$$

Reduce the fraction \frac{110}{15} to lowest terms by extracting and canceling out 5.

$$\frac{22}{3}$$

Factor

$$\frac{2 \cdot 11}{3} = 7\frac{1}{3} = 7.333333333333333$$