Solve 7/2+3/9*10/11/11

$$\frac { \frac { 7 } { 2 } + \frac { 3 } { 9 } \times \frac { 10 } { 11 } } { 11 }$$

Evaluate

$$\frac{251}{726}\approx 0.345730028$$

Solution Steps

Reduce the fraction \frac{3}{9} to lowest terms by extracting and canceling out 3.

$$\frac{\frac{7}{2}+\frac{1}{3}\times \frac{10}{11}}{11}$$

Multiply \frac{1}{3} times \frac{10}{11} by multiplying numerator times numerator and denominator times denominator.

$$\frac{\frac{7}{2}+\frac{1\times 10}{3\times 11}}{11}$$

Do the multiplications in the fraction \frac{1\times 10}{3\times 11}.

$$\frac{\frac{7}{2}+\frac{10}{33}}{11}$$

Least common multiple of 2 and 33 is 66. Convert \frac{7}{2} and \frac{10}{33} to fractions with denominator 66.

$$\frac{\frac{231}{66}+\frac{20}{66}}{11}$$

Since \frac{231}{66} and \frac{20}{66} have the same denominator, add them by adding their numerators.

$$\frac{\frac{231+20}{66}}{11}$$

Add 231 and 20 to get 251.

$$\frac{\frac{251}{66}}{11}$$

Express \frac{\frac{251}{66}}{11} as a single fraction.

$$\frac{251}{66\times 11}$$

Multiply 66 and 11 to get 726.

$$\frac{251}{726}$$

Factor

$$\frac{251}{2 \cdot 3 \cdot 11 ^ {2}} = 0.34573002754820936$$