Solve (17/22+1)div(2-9/11)

$$( \frac { 17 } { 22 } + 1 ) \div ( 2 - \frac { 9 } { 11 } )$$

Evaluate

$$\frac{3}{2}=1.5$$

Solution Steps

Convert 1 to fraction \frac{22}{22}.

$$\frac{\frac{17}{22}+\frac{22}{22}}{2-\frac{9}{11}}$$

Since \frac{17}{22} and \frac{22}{22} have the same denominator, add them by adding their numerators.

$$\frac{\frac{17+22}{22}}{2-\frac{9}{11}}$$

Add 17 and 22 to get 39.

$$\frac{\frac{39}{22}}{2-\frac{9}{11}}$$

Convert 2 to fraction \frac{22}{11}.

$$\frac{\frac{39}{22}}{\frac{22}{11}-\frac{9}{11}}$$

Since \frac{22}{11} and \frac{9}{11} have the same denominator, subtract them by subtracting their numerators.

$$\frac{\frac{39}{22}}{\frac{22-9}{11}}$$

Subtract 9 from 22 to get 13.

$$\frac{\frac{39}{22}}{\frac{13}{11}}$$

Divide \frac{39}{22} by \frac{13}{11} by multiplying \frac{39}{22} by the reciprocal of \frac{13}{11}.

$$\frac{39}{22}\times \frac{11}{13}$$

Multiply \frac{39}{22} times \frac{11}{13} by multiplying numerator times numerator and denominator times denominator.

$$\frac{39\times 11}{22\times 13}$$

Do the multiplications in the fraction \frac{39\times 11}{22\times 13}.

$$\frac{429}{286}$$

Reduce the fraction \frac{429}{286} to lowest terms by extracting and canceling out 143.

$$\frac{3}{2}$$

Factor

$$\frac{3}{2} = 1\frac{1}{2} = 1.5$$