Solve 13/90+2/9/frac{1{3}}

$$\frac{ \frac{ 13 }{ 90 } + \frac{ 2 }{ 9 } }{ \frac{ 1 }{ 3 } }$$

Evaluate

$$\frac{11}{10}=1.1$$

Solution Steps

Least common multiple of 90 and 9 is 90. Convert \frac{13}{90} and \frac{2}{9} to fractions with denominator 90.

$$\frac{\frac{13}{90}+\frac{20}{90}}{\frac{1}{3}}$$

Since \frac{13}{90} and \frac{20}{90} have the same denominator, add them by adding their numerators.

$$\frac{\frac{13+20}{90}}{\frac{1}{3}}$$

Add 13 and 20 to get 33.

$$\frac{\frac{33}{90}}{\frac{1}{3}}$$

Reduce the fraction \frac{33}{90} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{11}{30}}{\frac{1}{3}}$$

Divide \frac{11}{30} by \frac{1}{3} by multiplying \frac{11}{30} by the reciprocal of \frac{1}{3}.

$$\frac{11}{30}\times 3$$

Express \frac{11}{30}\times 3 as a single fraction.

$$\frac{11\times 3}{30}$$

Multiply 11 and 3 to get 33.

$$\frac{33}{30}$$

Reduce the fraction \frac{33}{30} to lowest terms by extracting and canceling out 3.

$$\frac{11}{10}$$

Factor

$$\frac{11}{2 \cdot 5} = 1\frac{1}{10} = 1.1$$