Solve 28/35+49/75

$$\frac { 28 } { 35 } + \frac { 49 } { 75 }$$

Evaluate

$$\frac{109}{75}\approx 1.453333333$$

Solution Steps

Reduce the fraction \frac{28}{35} to lowest terms by extracting and canceling out 7.

$$\frac{4}{5}+\frac{49}{75}$$

Least common multiple of 5 and 75 is 75. Convert \frac{4}{5} and \frac{49}{75} to fractions with denominator 75.

$$\frac{60}{75}+\frac{49}{75}$$

Since \frac{60}{75} and \frac{49}{75} have the same denominator, add them by adding their numerators.

$$\frac{60+49}{75}$$

Add 60 and 49 to get 109.

$$\frac{109}{75}$$

Factor

$$\frac{109}{3 \cdot 5 ^ {2}} = 1\frac{34}{75} = 1.4533333333333334$$