Solve 6/5div2/6+3/2

$$\frac { 6 } { 5 } \div \frac { 2 } { 6 } + \frac { 3 } { 2 }$$

Evaluate

$$\frac{51}{10}=5.1$$

Solution Steps

Divide \frac{6}{5} by \frac{2}{6} by multiplying \frac{6}{5} by the reciprocal of \frac{2}{6}.

$$\frac{6\times 6}{5\times 2}+\frac{3}{2}$$

Cancel out 2 in both numerator and denominator.

$$\frac{3\times 6}{5}+\frac{3}{2}$$

Multiply 3 and 6 to get 18.

$$\frac{18}{5}+\frac{3}{2}$$

Least common multiple of 5 and 2 is 10. Convert \frac{18}{5} and \frac{3}{2} to fractions with denominator 10.

$$\frac{36}{10}+\frac{15}{10}$$

Since \frac{36}{10} and \frac{15}{10} have the same denominator, add them by adding their numerators.

$$\frac{36+15}{10}$$

Add 36 and 15 to get 51.

$$\frac{51}{10}$$

Factor

$$\frac{3 \cdot 17}{2 \cdot 5} = 5\frac{1}{10} = 5.1$$