Solve 7/4+27/15+9/20

$$\frac { 7 } { 4 } + \frac { 27 } { 15 } + \frac { 9 } { 20 }$$

Evaluate

$$4$$

Solution Steps

Reduce the fraction \frac{27}{15} to lowest terms by extracting and canceling out 3.

$$\frac{7}{4}+\frac{9}{5}+\frac{9}{20}$$

Least common multiple of 4 and 5 is 20. Convert \frac{7}{4} and \frac{9}{5} to fractions with denominator 20.

$$\frac{35}{20}+\frac{36}{20}+\frac{9}{20}$$

Since \frac{35}{20} and \frac{36}{20} have the same denominator, add them by adding their numerators.

$$\frac{35+36}{20}+\frac{9}{20}$$

Add 35 and 36 to get 71.

$$\frac{71}{20}+\frac{9}{20}$$

Since \frac{71}{20} and \frac{9}{20} have the same denominator, add them by adding their numerators.

$$\frac{71+9}{20}$$

Add 71 and 9 to get 80.

$$\frac{80}{20}$$

Divide 80 by 20 to get 4.

$$4$$

Factor

$$2^{2}$$