Solve 11/3+21/18

$$1 \frac { 1 } { 3 } + 2 \frac { 1 } { 18 }$$

Evaluate

$$\frac{61}{18}\approx 3.388888889$$

Solution Steps

Multiply 1 and 3 to get 3.

$$\frac{3+1}{3}+\frac{2\times 18+1}{18}$$

Add 3 and 1 to get 4.

$$\frac{4}{3}+\frac{2\times 18+1}{18}$$

Multiply 2 and 18 to get 36.

$$\frac{4}{3}+\frac{36+1}{18}$$

Add 36 and 1 to get 37.

$$\frac{4}{3}+\frac{37}{18}$$

Least common multiple of 3 and 18 is 18. Convert \frac{4}{3} and \frac{37}{18} to fractions with denominator 18.

$$\frac{24}{18}+\frac{37}{18}$$

Since \frac{24}{18} and \frac{37}{18} have the same denominator, add them by adding their numerators.

$$\frac{24+37}{18}$$

Add 24 and 37 to get 61.

$$\frac{61}{18}$$

Factor

$$\frac{61}{2 \cdot 3 ^ {2}} = 3\frac{7}{18} = 3.388888888888889$$