Solve 55/13+599/11

$$5 \frac { 5 } { 13 } + 5 \frac { 99 } { 11 }$$

Evaluate

$$\frac{252}{13}\approx 19.384615385$$

Solution Steps

Multiply 5 and 13 to get 65.

$$\frac{65+5}{13}+\frac{5\times 11+99}{11}$$

Add 65 and 5 to get 70.

$$\frac{70}{13}+\frac{5\times 11+99}{11}$$

Multiply 5 and 11 to get 55.

$$\frac{70}{13}+\frac{55+99}{11}$$

Add 55 and 99 to get 154.

$$\frac{70}{13}+\frac{154}{11}$$

Divide 154 by 11 to get 14.

$$\frac{70}{13}+14$$

Convert 14 to fraction \frac{182}{13}.

$$\frac{70}{13}+\frac{182}{13}$$

Since \frac{70}{13} and \frac{182}{13} have the same denominator, add them by adding their numerators.

$$\frac{70+182}{13}$$

Add 70 and 182 to get 252.

$$\frac{252}{13}$$

Factor

$$\frac{2 ^ {2} \cdot 3 ^ {2} \cdot 7}{13} = 19\frac{5}{13} = 19.384615384615383$$