Solve 14.5+(1.5/11)3

$$14.5+( \frac{ 1.5 }{ 11 } )3$$

Evaluate

$$\frac{164}{11}\approx 14.909090909$$

Solution Steps

Expand \frac{1.5}{11} by multiplying both numerator and the denominator by 10.

$$14.5+\frac{15}{110}\times 3$$

Reduce the fraction \frac{15}{110} to lowest terms by extracting and canceling out 5.

$$14.5+\frac{3}{22}\times 3$$

Express \frac{3}{22}\times 3 as a single fraction.

$$14.5+\frac{3\times 3}{22}$$

Multiply 3 and 3 to get 9.

$$14.5+\frac{9}{22}$$

Convert decimal number 14.5 to fraction \frac{145}{10}. Reduce the fraction \frac{145}{10} to lowest terms by extracting and canceling out 5.

$$\frac{29}{2}+\frac{9}{22}$$

Least common multiple of 2 and 22 is 22. Convert \frac{29}{2} and \frac{9}{22} to fractions with denominator 22.

$$\frac{319}{22}+\frac{9}{22}$$

Since \frac{319}{22} and \frac{9}{22} have the same denominator, add them by adding their numerators.

$$\frac{319+9}{22}$$

Add 319 and 9 to get 328.

$$\frac{328}{22}$$

Reduce the fraction \frac{328}{22} to lowest terms by extracting and canceling out 2.

$$\frac{164}{11}$$

Factor

$$\frac{41 \cdot 2 ^ {2}}{11} = 14\frac{10}{11} = 14.909090909090908$$