Solve 1/5+4/10+3/4=

$$\frac { 1 } { 5 } + \frac { 4 } { 10 } + \frac { 3 } { 4 } =$$

Evaluate

$$\frac{27}{20}=1.35$$

Solution Steps

Reduce the fraction \frac{4}{10} to lowest terms by extracting and canceling out 2.

$$\frac{1}{5}+\frac{2}{5}+\frac{3}{4}$$

Since \frac{1}{5} and \frac{2}{5} have the same denominator, add them by adding their numerators.

$$\frac{1+2}{5}+\frac{3}{4}$$

Add 1 and 2 to get 3.

$$\frac{3}{5}+\frac{3}{4}$$

Least common multiple of 5 and 4 is 20. Convert \frac{3}{5} and \frac{3}{4} to fractions with denominator 20.

$$\frac{12}{20}+\frac{15}{20}$$

Since \frac{12}{20} and \frac{15}{20} have the same denominator, add them by adding their numerators.

$$\frac{12+15}{20}$$

Add 12 and 15 to get 27.

$$\frac{27}{20}$$

Factor

$$\frac{3 ^ {3}}{2 ^ {2} \cdot 5} = 1\frac{7}{20} = 1.35$$