Solve left(14/11+17/10right)11/15=

$$\left( \frac{ 14 }{ 11 } + \frac{ 17 }{ 10 } \right) \frac{ 11 }{ 15 } =$$

Evaluate

$$\frac{109}{50}=2.18$$

Solution Steps

Least common multiple of 11 and 10 is 110. Convert \frac{14}{11} and \frac{17}{10} to fractions with denominator 110.

$$\left(\frac{140}{110}+\frac{187}{110}\right)\times \frac{11}{15}$$

Since \frac{140}{110} and \frac{187}{110} have the same denominator, add them by adding their numerators.

$$\frac{140+187}{110}\times \frac{11}{15}$$

Add 140 and 187 to get 327.

$$\frac{327}{110}\times \frac{11}{15}$$

Multiply \frac{327}{110} times \frac{11}{15} by multiplying numerator times numerator and denominator times denominator.

$$\frac{327\times 11}{110\times 15}$$

Do the multiplications in the fraction \frac{327\times 11}{110\times 15}.

$$\frac{3597}{1650}$$

Reduce the fraction \frac{3597}{1650} to lowest terms by extracting and canceling out 33.

$$\frac{109}{50}$$

Factor

$$\frac{109}{2 \cdot 5 ^ {2}} = 2\frac{9}{50} = 2.18$$