Solve (2/9+11/10)/frac{17{18}}

$$\frac { ( \frac { 2 } { 9 } + \frac { 11 } { 10 } ) } { \frac { 17 } { 18 } }$$

Evaluate

$$\frac{7}{5}=1.4$$

Solution Steps

Least common multiple of 9 and 10 is 90. Convert \frac{2}{9} and \frac{11}{10} to fractions with denominator 90.

$$\frac{\frac{20}{90}+\frac{99}{90}}{\frac{17}{18}}$$

Since \frac{20}{90} and \frac{99}{90} have the same denominator, add them by adding their numerators.

$$\frac{\frac{20+99}{90}}{\frac{17}{18}}$$

Add 20 and 99 to get 119.

$$\frac{\frac{119}{90}}{\frac{17}{18}}$$

Divide \frac{119}{90} by \frac{17}{18} by multiplying \frac{119}{90} by the reciprocal of \frac{17}{18}.

$$\frac{119}{90}\times \frac{18}{17}$$

Multiply \frac{119}{90} times \frac{18}{17} by multiplying numerator times numerator and denominator times denominator.

$$\frac{119\times 18}{90\times 17}$$

Do the multiplications in the fraction \frac{119\times 18}{90\times 17}.

$$\frac{2142}{1530}$$

Reduce the fraction \frac{2142}{1530} to lowest terms by extracting and canceling out 306.

$$\frac{7}{5}$$

Factor

$$\frac{7}{5} = 1\frac{2}{5} = 1.4$$