Solve 54/162+31/48

$$\frac { 54 } { 162 } + \frac { 31 } { 48 }$$

Evaluate

$$\frac{47}{48}\approx 0.979166667$$

Solution Steps

Reduce the fraction \frac{54}{162} to lowest terms by extracting and canceling out 54.

$$\frac{1}{3}+\frac{31}{48}$$

Least common multiple of 3 and 48 is 48. Convert \frac{1}{3} and \frac{31}{48} to fractions with denominator 48.

$$\frac{16}{48}+\frac{31}{48}$$

Since \frac{16}{48} and \frac{31}{48} have the same denominator, add them by adding their numerators.

$$\frac{16+31}{48}$$

Add 16 and 31 to get 47.

$$\frac{47}{48}$$

Factor

$$\frac{47}{2 ^ {4} \cdot 3} = 0.9791666666666666$$