Solve 13.5+(5.2/11)

$$13.5 + ( \frac { 5.2 } { 11 } )$$

Evaluate

$$\frac{1537}{110}\approx 13.972727273$$

Solution Steps

Expand \frac{5.2}{11} by multiplying both numerator and the denominator by 10.

$$13.5+\frac{52}{110}$$

Reduce the fraction \frac{52}{110} to lowest terms by extracting and canceling out 2.

$$13.5+\frac{26}{55}$$

Convert decimal number 13.5 to fraction \frac{135}{10}. Reduce the fraction \frac{135}{10} to lowest terms by extracting and canceling out 5.

$$\frac{27}{2}+\frac{26}{55}$$

Least common multiple of 2 and 55 is 110. Convert \frac{27}{2} and \frac{26}{55} to fractions with denominator 110.

$$\frac{1485}{110}+\frac{52}{110}$$

Since \frac{1485}{110} and \frac{52}{110} have the same denominator, add them by adding their numerators.

$$\frac{1485+52}{110}$$

Add 1485 and 52 to get 1537.

$$\frac{1537}{110}$$

Factor

$$\frac{29 \cdot 53}{2 \cdot 5 \cdot 11} = 13\frac{107}{110} = 13.972727272727273$$