Solve 7/10+9/14

$$\frac { 7 } { 10 } + \frac { 9 } { 14 }$$

Evaluate

$$\frac{47}{35}\approx 1.342857143$$

Solution Steps

Least common multiple of 10 and 14 is 70. Convert \frac{7}{10} and \frac{9}{14} to fractions with denominator 70.

$$\frac{49}{70}+\frac{45}{70}$$

Since \frac{49}{70} and \frac{45}{70} have the same denominator, add them by adding their numerators.

$$\frac{49+45}{70}$$

Add 49 and 45 to get 94.

$$\frac{94}{70}$$

Reduce the fraction \frac{94}{70} to lowest terms by extracting and canceling out 2.

$$\frac{47}{35}$$

Factor

$$\frac{47}{5 \cdot 7} = 1\frac{12}{35} = 1.3428571428571427$$