Solve 5/10+34/40

$$\frac { 5 } { 10 } + \frac { 34 } { 40 }$$

Evaluate

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

Solution Steps

Reduce the fraction \frac{5}{10} to lowest terms by extracting and canceling out 5.

$$\frac{1}{2}+\frac{34}{40}$$

Reduce the fraction \frac{34}{40} to lowest terms by extracting and canceling out 2.

$$\frac{1}{2}+\frac{17}{20}$$

Least common multiple of 2 and 20 is 20. Convert \frac{1}{2} and \frac{17}{20} to fractions with denominator 20.

$$\frac{10}{20}+\frac{17}{20}$$

Since \frac{10}{20} and \frac{17}{20} have the same denominator, add them by adding their numerators.

$$\frac{10+17}{20}$$

Add 10 and 17 to get 27.

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

Factor

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