Solve 5/6+5/20+4/20

$$\frac { 5 } { 6 } + \frac { 5 } { 20 } + \frac { 4 } { 20 }$$

Evaluate

$$\frac{77}{60}\approx 1.283333333$$

Solution Steps

Reduce the fraction \frac{5}{20} to lowest terms by extracting and canceling out 5.

$$\frac{5}{6}+\frac{1}{4}+\frac{4}{20}$$

Least common multiple of 6 and 4 is 12. Convert \frac{5}{6} and \frac{1}{4} to fractions with denominator 12.

$$\frac{10}{12}+\frac{3}{12}+\frac{4}{20}$$

Since \frac{10}{12} and \frac{3}{12} have the same denominator, add them by adding their numerators.

$$\frac{10+3}{12}+\frac{4}{20}$$

Add 10 and 3 to get 13.

$$\frac{13}{12}+\frac{4}{20}$$

Reduce the fraction \frac{4}{20} to lowest terms by extracting and canceling out 4.

$$\frac{13}{12}+\frac{1}{5}$$

Least common multiple of 12 and 5 is 60. Convert \frac{13}{12} and \frac{1}{5} to fractions with denominator 60.

$$\frac{65}{60}+\frac{12}{60}$$

Since \frac{65}{60} and \frac{12}{60} have the same denominator, add them by adding their numerators.

$$\frac{65+12}{60}$$

Add 65 and 12 to get 77.

$$\frac{77}{60}$$

Factor

$$\frac{7 \cdot 11}{2 ^ {2} \cdot 3 \cdot 5} = 1\frac{17}{60} = 1.2833333333333334$$