Solve 2/11*(21/2+1/4)

$$\frac { 2 } { 11 } \times ( 2 \frac { 1 } { 2 } + \frac { 1 } { 4 } )$$

Evaluate

$$\frac{1}{2}=0.5$$

Solution Steps

Multiply 2 and 2 to get 4.

$$\frac{2}{11}\left(\frac{4+1}{2}+\frac{1}{4}\right)$$

Add 4 and 1 to get 5.

$$\frac{2}{11}\left(\frac{5}{2}+\frac{1}{4}\right)$$

Least common multiple of 2 and 4 is 4. Convert \frac{5}{2} and \frac{1}{4} to fractions with denominator 4.

$$\frac{2}{11}\left(\frac{10}{4}+\frac{1}{4}\right)$$

Since \frac{10}{4} and \frac{1}{4} have the same denominator, add them by adding their numerators.

$$\frac{2}{11}\times \frac{10+1}{4}$$

Add 10 and 1 to get 11.

$$\frac{2}{11}\times \frac{11}{4}$$

Multiply \frac{2}{11} times \frac{11}{4} by multiplying numerator times numerator and denominator times denominator.

$$\frac{2\times 11}{11\times 4}$$

Cancel out 11 in both numerator and denominator.

$$\frac{2}{4}$$

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

$$\frac{1}{2}$$

Factor

$$\frac{1}{2} = 0.5$$