Solve 35/40+25/20

$$\frac { 35 } { 40 } + \frac { 25 } { 20 }$$

Evaluate

$$\frac{17}{8}=2.125$$

Solution Steps

Reduce the fraction \frac{35}{40} to lowest terms by extracting and canceling out 5.

$$\frac{7}{8}+\frac{25}{20}$$

Reduce the fraction \frac{25}{20} to lowest terms by extracting and canceling out 5.

$$\frac{7}{8}+\frac{5}{4}$$

Least common multiple of 8 and 4 is 8. Convert \frac{7}{8} and \frac{5}{4} to fractions with denominator 8.

$$\frac{7}{8}+\frac{10}{8}$$

Since \frac{7}{8} and \frac{10}{8} have the same denominator, add them by adding their numerators.

$$\frac{7+10}{8}$$

Add 7 and 10 to get 17.

$$\frac{17}{8}$$

Factor

$$\frac{17}{2 ^ {3}} = 2\frac{1}{8} = 2.125$$