Solve 71/105+5/6=

$$7 \frac{ 1 }{ 105 } + \frac{ 5 }{ 6 } =$$

Evaluate

$$\frac{549}{70}\approx 7.842857143$$

Solution Steps

Multiply 7 and 105 to get 735.

$$\frac{735+1}{105}+\frac{5}{6}$$

Add 735 and 1 to get 736.

$$\frac{736}{105}+\frac{5}{6}$$

Least common multiple of 105 and 6 is 210. Convert \frac{736}{105} and \frac{5}{6} to fractions with denominator 210.

$$\frac{1472}{210}+\frac{175}{210}$$

Since \frac{1472}{210} and \frac{175}{210} have the same denominator, add them by adding their numerators.

$$\frac{1472+175}{210}$$

Add 1472 and 175 to get 1647.

$$\frac{1647}{210}$$

Reduce the fraction \frac{1647}{210} to lowest terms by extracting and canceling out 3.

$$\frac{549}{70}$$

Factor

$$\frac{3 ^ {2} \cdot 61}{2 \cdot 5 \cdot 7} = 7\frac{59}{70} = 7.8428571428571425$$