Solve 6/30+11/6=

$$\frac { 6 } { 30 } + 1 \frac { 1 } { 6 } =$$

Evaluate

$$\frac{41}{30}\approx 1.366666667$$

Solution Steps

Reduce the fraction \frac{6}{30} to lowest terms by extracting and canceling out 6.

$$\frac{1}{5}+\frac{1\times 6+1}{6}$$

Multiply 1 and 6 to get 6.

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

Add 6 and 1 to get 7.

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

Least common multiple of 5 and 6 is 30. Convert \frac{1}{5} and \frac{7}{6} to fractions with denominator 30.

$$\frac{6}{30}+\frac{35}{30}$$

Since \frac{6}{30} and \frac{35}{30} have the same denominator, add them by adding their numerators.

$$\frac{6+35}{30}$$

Add 6 and 35 to get 41.

$$\frac{41}{30}$$

Factor

$$\frac{41}{2 \cdot 3 \cdot 5} = 1\frac{11}{30} = 1.3666666666666667$$