Solve 3/2+54/52

$$\frac{ 3 }{ 2 } + \frac{ 54 }{ 52 }$$

Evaluate

$$\frac{33}{13}\approx 2.538461538$$

Solution Steps

Reduce the fraction \frac{54}{52} to lowest terms by extracting and canceling out 2.

$$\frac{3}{2}+\frac{27}{26}$$

Least common multiple of 2 and 26 is 26. Convert \frac{3}{2} and \frac{27}{26} to fractions with denominator 26.

$$\frac{39}{26}+\frac{27}{26}$$

Since \frac{39}{26} and \frac{27}{26} have the same denominator, add them by adding their numerators.

$$\frac{39+27}{26}$$

Add 39 and 27 to get 66.

$$\frac{66}{26}$$

Reduce the fraction \frac{66}{26} to lowest terms by extracting and canceling out 2.

$$\frac{33}{13}$$

Factor

$$\frac{3 \cdot 11}{13} = 2\frac{7}{13} = 2.5384615384615383$$