Solve 8/21+15/25

$$\frac { 8 } { 21 } + \frac { 15 } { 25 }$$

Evaluate

$$\frac{103}{105}\approx 0.980952381$$

Solution Steps

Reduce the fraction \frac{15}{25} to lowest terms by extracting and canceling out 5.

$$\frac{8}{21}+\frac{3}{5}$$

Least common multiple of 21 and 5 is 105. Convert \frac{8}{21} and \frac{3}{5} to fractions with denominator 105.

$$\frac{40}{105}+\frac{63}{105}$$

Since \frac{40}{105} and \frac{63}{105} have the same denominator, add them by adding their numerators.

$$\frac{40+63}{105}$$

Add 40 and 63 to get 103.

$$\frac{103}{105}$$

Factor

$$\frac{103}{3 \cdot 5 \cdot 7} = 0.9809523809523809$$