Solve 11/28+5/4

$$\frac{ 11 }{ 28 } + \frac{ 5 }{ 4 }$$

Evaluate

$$\frac{23}{14}\approx 1.642857143$$

Solution Steps

Least common multiple of 28 and 4 is 28. Convert \frac{11}{28} and \frac{5}{4} to fractions with denominator 28.

$$\frac{11}{28}+\frac{35}{28}$$

Since \frac{11}{28} and \frac{35}{28} have the same denominator, add them by adding their numerators.

$$\frac{11+35}{28}$$

Add 11 and 35 to get 46.

$$\frac{46}{28}$$

Reduce the fraction \frac{46}{28} to lowest terms by extracting and canceling out 2.

$$\frac{23}{14}$$

Factor

$$\frac{23}{2 \cdot 7} = 1\frac{9}{14} = 1.6428571428571428$$