Solve 3/4+2/5+1/7

$$\frac{ 3 }{ 4 } + \frac{ 2 }{ 5 } + \frac{ 1 }{ 7 }$$

Evaluate

$$\frac{181}{140}\approx 1.292857143$$

Solution Steps

Least common multiple of 4 and 5 is 20. Convert \frac{3}{4} and \frac{2}{5} to fractions with denominator 20.

$$\frac{15}{20}+\frac{8}{20}+\frac{1}{7}$$

Since \frac{15}{20} and \frac{8}{20} have the same denominator, add them by adding their numerators.

$$\frac{15+8}{20}+\frac{1}{7}$$

Add 15 and 8 to get 23.

$$\frac{23}{20}+\frac{1}{7}$$

Least common multiple of 20 and 7 is 140. Convert \frac{23}{20} and \frac{1}{7} to fractions with denominator 140.

$$\frac{161}{140}+\frac{20}{140}$$

Since \frac{161}{140} and \frac{20}{140} have the same denominator, add them by adding their numerators.

$$\frac{161+20}{140}$$

Add 161 and 20 to get 181.

$$\frac{181}{140}$$

Factor

$$\frac{181}{2 ^ {2} \cdot 5 \cdot 7} = 1\frac{41}{140} = 1.292857142857143$$