Solve 7/13+1/4+6/13

$$\frac { 7 } { 13 } + \frac { 1 } { 4 } + \frac { 6 } { 13 }$$

Evaluate

$$\frac{5}{4}=1.25$$

Solution Steps

Least common multiple of 13 and 4 is 52. Convert \frac{7}{13} and \frac{1}{4} to fractions with denominator 52.

$$\frac{28}{52}+\frac{13}{52}+\frac{6}{13}$$

Since \frac{28}{52} and \frac{13}{52} have the same denominator, add them by adding their numerators.

$$\frac{28+13}{52}+\frac{6}{13}$$

Add 28 and 13 to get 41.

$$\frac{41}{52}+\frac{6}{13}$$

Least common multiple of 52 and 13 is 52. Convert \frac{41}{52} and \frac{6}{13} to fractions with denominator 52.

$$\frac{41}{52}+\frac{24}{52}$$

Since \frac{41}{52} and \frac{24}{52} have the same denominator, add them by adding their numerators.

$$\frac{41+24}{52}$$

Add 41 and 24 to get 65.

$$\frac{65}{52}$$

Reduce the fraction \frac{65}{52} to lowest terms by extracting and canceling out 13.

$$\frac{5}{4}$$

Factor

$$\frac{5}{2 ^ {2}} = 1\frac{1}{4} = 1.25$$