Solve 4/13+3/4-4/13

$$\frac { 4 } { 13 } + \frac { 3 } { 4 } - \frac { 4 } { 13 }$$

Evaluate

$$\frac{3}{4}=0.75$$

Solution Steps

Least common multiple of 13 and 4 is 52. Convert \frac{4}{13} and \frac{3}{4} to fractions with denominator 52.

$$\frac{16}{52}+\frac{39}{52}-\frac{4}{13}$$

Since \frac{16}{52} and \frac{39}{52} have the same denominator, add them by adding their numerators.

$$\frac{16+39}{52}-\frac{4}{13}$$

Add 16 and 39 to get 55.

$$\frac{55}{52}-\frac{4}{13}$$

Least common multiple of 52 and 13 is 52. Convert \frac{55}{52} and \frac{4}{13} to fractions with denominator 52.

$$\frac{55}{52}-\frac{16}{52}$$

Since \frac{55}{52} and \frac{16}{52} have the same denominator, subtract them by subtracting their numerators.

$$\frac{55-16}{52}$$

Subtract 16 from 55 to get 39.

$$\frac{39}{52}$$

Reduce the fraction \frac{39}{52} to lowest terms by extracting and canceling out 13.

$$\frac{3}{4}$$

Factor

$$\frac{3}{2 ^ {2}} = 0.75$$