Solve 6/5-5/65

$$\frac { 6 } { 5 } - \frac { 5 } { 65 }$$

Evaluate

$$\frac{73}{65}\approx 1.123076923$$

Solution Steps

Reduce the fraction \frac{5}{65} to lowest terms by extracting and canceling out 5.

$$\frac{6}{5}-\frac{1}{13}$$

Least common multiple of 5 and 13 is 65. Convert \frac{6}{5} and \frac{1}{13} to fractions with denominator 65.

$$\frac{78}{65}-\frac{5}{65}$$

Since \frac{78}{65} and \frac{5}{65} have the same denominator, subtract them by subtracting their numerators.

$$\frac{78-5}{65}$$

Subtract 5 from 78 to get 73.

$$\frac{73}{65}$$

Factor

$$\frac{73}{5 \cdot 13} = 1\frac{8}{65} = 1.123076923076923$$