Solve 12/8+18/10+20/14

$$\frac { 12 } { 8 } + \frac { 18 } { 10 } + \frac { 20 } { 14 }$$

Evaluate

$$\frac{331}{70}\approx 4.728571429$$

Solution Steps

Reduce the fraction \frac{12}{8} to lowest terms by extracting and canceling out 4.

$$\frac{3}{2}+\frac{18}{10}+\frac{20}{14}$$

Reduce the fraction \frac{18}{10} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{9}{5}+\frac{20}{14}$$

Least common multiple of 2 and 5 is 10. Convert \frac{3}{2} and \frac{9}{5} to fractions with denominator 10.

$$\frac{15}{10}+\frac{18}{10}+\frac{20}{14}$$

Since \frac{15}{10} and \frac{18}{10} have the same denominator, add them by adding their numerators.

$$\frac{15+18}{10}+\frac{20}{14}$$

Add 15 and 18 to get 33.

$$\frac{33}{10}+\frac{20}{14}$$

Reduce the fraction \frac{20}{14} to lowest terms by extracting and canceling out 2.

$$\frac{33}{10}+\frac{10}{7}$$

Least common multiple of 10 and 7 is 70. Convert \frac{33}{10} and \frac{10}{7} to fractions with denominator 70.

$$\frac{231}{70}+\frac{100}{70}$$

Since \frac{231}{70} and \frac{100}{70} have the same denominator, add them by adding their numerators.

$$\frac{231+100}{70}$$

Add 231 and 100 to get 331.

$$\frac{331}{70}$$

Factor

$$\frac{331}{2 \cdot 5 \cdot 7} = 4\frac{51}{70} = 4.728571428571429$$