Solve 48/45-3/13

$$\frac { 48 } { 45 } - \frac { 3 } { 13 }$$

Evaluate

$$\frac{163}{195}\approx 0.835897436$$

Solution Steps

Reduce the fraction \frac{48}{45} to lowest terms by extracting and canceling out 3.

$$\frac{16}{15}-\frac{3}{13}$$

Least common multiple of 15 and 13 is 195. Convert \frac{16}{15} and \frac{3}{13} to fractions with denominator 195.

$$\frac{208}{195}-\frac{45}{195}$$

Since \frac{208}{195} and \frac{45}{195} have the same denominator, subtract them by subtracting their numerators.

$$\frac{208-45}{195}$$

Subtract 45 from 208 to get 163.

$$\frac{163}{195}$$

Factor

$$\frac{163}{3 \cdot 5 \cdot 13} = 0.8358974358974359$$