Solve 1/18+1/4div1/2+5/9

$$\frac { 1 } { 18 } + \frac { 1 } { 4 } \div \frac { 1 } { 2 } + \frac { 5 } { 9 }$$

Evaluate

$$\frac{10}{9}\approx 1.111111111$$

Solution Steps

Divide \frac{1}{4} by \frac{1}{2} by multiplying \frac{1}{4} by the reciprocal of \frac{1}{2}.

$$\frac{1}{18}+\frac{1}{4}\times 2+\frac{5}{9}$$

Multiply \frac{1}{4} and 2 to get \frac{2}{4}.

$$\frac{1}{18}+\frac{2}{4}+\frac{5}{9}$$

Reduce the fraction \frac{2}{4} to lowest terms by extracting and canceling out 2.

$$\frac{1}{18}+\frac{1}{2}+\frac{5}{9}$$

Least common multiple of 18 and 2 is 18. Convert \frac{1}{18} and \frac{1}{2} to fractions with denominator 18.

$$\frac{1}{18}+\frac{9}{18}+\frac{5}{9}$$

Since \frac{1}{18} and \frac{9}{18} have the same denominator, add them by adding their numerators.

$$\frac{1+9}{18}+\frac{5}{9}$$

Add 1 and 9 to get 10.

$$\frac{10}{18}+\frac{5}{9}$$

Reduce the fraction \frac{10}{18} to lowest terms by extracting and canceling out 2.

$$\frac{5}{9}+\frac{5}{9}$$

Since \frac{5}{9} and \frac{5}{9} have the same denominator, add them by adding their numerators.

$$\frac{5+5}{9}$$

Add 5 and 5 to get 10.

$$\frac{10}{9}$$

Factor

$$\frac{2 \cdot 5}{3 ^ {2}} = 1\frac{1}{9} = 1.1111111111111112$$