Solve 6/31+114/25

$$\frac{ 6 }{ 31 } + 1 \frac { 14 } { 25 }$$

Evaluate

$$\frac{1359}{775}\approx 1.753548387$$

Solution Steps

Multiply 1 and 25 to get 25.

$$\frac{6}{31}+\frac{25+14}{25}$$

Add 25 and 14 to get 39.

$$\frac{6}{31}+\frac{39}{25}$$

Least common multiple of 31 and 25 is 775. Convert \frac{6}{31} and \frac{39}{25} to fractions with denominator 775.

$$\frac{150}{775}+\frac{1209}{775}$$

Since \frac{150}{775} and \frac{1209}{775} have the same denominator, add them by adding their numerators.

$$\frac{150+1209}{775}$$

Add 150 and 1209 to get 1359.

$$\frac{1359}{775}$$

Factor

$$\frac{3 ^ {2} \cdot 151}{5 ^ {2} \cdot 31} = 1\frac{584}{775} = 1.7535483870967743$$