Solve 7/10+29/14

$$\frac { 7 } { 10 } + 2 \frac { 9 } { 14 }$$

Evaluate

$$\frac{117}{35}\approx 3.342857143$$

Solution Steps

Multiply 2 and 14 to get 28.

$$\frac{7}{10}+\frac{28+9}{14}$$

Add 28 and 9 to get 37.

$$\frac{7}{10}+\frac{37}{14}$$

Least common multiple of 10 and 14 is 70. Convert \frac{7}{10} and \frac{37}{14} to fractions with denominator 70.

$$\frac{49}{70}+\frac{185}{70}$$

Since \frac{49}{70} and \frac{185}{70} have the same denominator, add them by adding their numerators.

$$\frac{49+185}{70}$$

Add 49 and 185 to get 234.

$$\frac{234}{70}$$

Reduce the fraction \frac{234}{70} to lowest terms by extracting and canceling out 2.

$$\frac{117}{35}$$

Factor

$$\frac{3 ^ {2} \cdot 13}{5 \cdot 7} = 3\frac{12}{35} = 3.342857142857143$$