Solve 17.5+(3/11)3

$$17.5+( \frac{ 3 }{ 11 } )3$$

Evaluate

$$\frac{403}{22}\approx 18.318181818$$

Solution Steps

Express \frac{3}{11}\times 3 as a single fraction.

$$17.5+\frac{3\times 3}{11}$$

Multiply 3 and 3 to get 9.

$$17.5+\frac{9}{11}$$

Convert decimal number 17.5 to fraction \frac{175}{10}. Reduce the fraction \frac{175}{10} to lowest terms by extracting and canceling out 5.

$$\frac{35}{2}+\frac{9}{11}$$

Least common multiple of 2 and 11 is 22. Convert \frac{35}{2} and \frac{9}{11} to fractions with denominator 22.

$$\frac{385}{22}+\frac{18}{22}$$

Since \frac{385}{22} and \frac{18}{22} have the same denominator, add them by adding their numerators.

$$\frac{385+18}{22}$$

Add 385 and 18 to get 403.

$$\frac{403}{22}$$

Factor

$$\frac{13 \cdot 31}{2 \cdot 11} = 18\frac{7}{22} = 18.318181818181817$$