Solve 4/5+7/6=

$$\frac { 4 } { 5 } + \frac { 7 } { 6 } =$$

Evaluate

$$\frac{59}{30}\approx 1.966666667$$

Solution Steps

Least common multiple of 5 and 6 is 30. Convert \frac{4}{5} and \frac{7}{6} to fractions with denominator 30.

$$\frac{24}{30}+\frac{35}{30}$$

Since \frac{24}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{24+35}{30}$$

Add 24 and 35 to get 59.

$$\frac{59}{30}$$

Factor

$$\frac{59}{2 \cdot 3 \cdot 5} = 1\frac{29}{30} = 1.9666666666666666$$