Solve 4/13+13/65

$$\frac { 4 } { 13 } + \frac { 13 } { 65 }$$

Evaluate

$$\frac{33}{65}\approx 0.507692308$$

Solution Steps

Reduce the fraction \frac{13}{65} to lowest terms by extracting and canceling out 13.

$$\frac{4}{13}+\frac{1}{5}$$

Least common multiple of 13 and 5 is 65. Convert \frac{4}{13} and \frac{1}{5} to fractions with denominator 65.

$$\frac{20}{65}+\frac{13}{65}$$

Since \frac{20}{65} and \frac{13}{65} have the same denominator, add them by adding their numerators.

$$\frac{20+13}{65}$$

Add 20 and 13 to get 33.

$$\frac{33}{65}$$

Factor

$$\frac{3 \cdot 11}{5 \cdot 13} = 0.5076923076923077$$