Solve 11/2*(25/33-5/22)

$$\frac { 11 } { 2 } \times ( \frac { 25 } { 33 } - \frac { 5 } { 22 } )$$

Evaluate

$$\frac{35}{12}\approx 2.916666667$$

Solution Steps

Least common multiple of 33 and 22 is 66. Convert \frac{25}{33} and \frac{5}{22} to fractions with denominator 66.

$$\frac{11}{2}\left(\frac{50}{66}-\frac{15}{66}\right)$$

Since \frac{50}{66} and \frac{15}{66} have the same denominator, subtract them by subtracting their numerators.

$$\frac{11}{2}\times \frac{50-15}{66}$$

Subtract 15 from 50 to get 35.

$$\frac{11}{2}\times \frac{35}{66}$$

Multiply \frac{11}{2} times \frac{35}{66} by multiplying numerator times numerator and denominator times denominator.

$$\frac{11\times 35}{2\times 66}$$

Do the multiplications in the fraction \frac{11\times 35}{2\times 66}.

$$\frac{385}{132}$$

Reduce the fraction \frac{385}{132} to lowest terms by extracting and canceling out 11.

$$\frac{35}{12}$$

Factor

$$\frac{5 \cdot 7}{2 ^ {2} \cdot 3} = 2\frac{11}{12} = 2.9166666666666665$$