Solve 477/154+3/14

$$\frac{ 477 }{ 154 } + \frac{ 3 }{ 14 }$$

Evaluate

$$\frac{255}{77}\approx 3.311688312$$

Solution Steps

Least common multiple of 154 and 14 is 154. Convert \frac{477}{154} and \frac{3}{14} to fractions with denominator 154.

$$\frac{477}{154}+\frac{33}{154}$$

Since \frac{477}{154} and \frac{33}{154} have the same denominator, add them by adding their numerators.

$$\frac{477+33}{154}$$

Add 477 and 33 to get 510.

$$\frac{510}{154}$$

Reduce the fraction \frac{510}{154} to lowest terms by extracting and canceling out 2.

$$\frac{255}{77}$$

Factor

$$\frac{3 \cdot 5 \cdot 17}{7 \cdot 11} = 3\frac{24}{77} = 3.311688311688312$$