Solve 3/5+12/10+9/20=

$$\frac { 3 } { 5 } + \frac { 12 } { 10 } + \frac { 9 } { 20 } =$$

Evaluate

$$\frac{9}{4}=2.25$$

Solution Steps

Reduce the fraction \frac{12}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{5}+\frac{6}{5}+\frac{9}{20}$$

Since \frac{3}{5} and \frac{6}{5} have the same denominator, add them by adding their numerators.

$$\frac{3+6}{5}+\frac{9}{20}$$

Add 3 and 6 to get 9.

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

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

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

Since \frac{36}{20} and \frac{9}{20} have the same denominator, add them by adding their numerators.

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

Add 36 and 9 to get 45.

$$\frac{45}{20}$$

Reduce the fraction \frac{45}{20} to lowest terms by extracting and canceling out 5.

$$\frac{9}{4}$$

Factor

$$\frac{3 ^ {2}}{2 ^ {2}} = 2\frac{1}{4} = 2.25$$