3/5 + 2/7 as a Fraction Answer
When adding two fractions, we need to follow certain steps to get the correct answer. In this case, we want to find the sum of 3/5 and 2/7.
Step 1: Find the Least Common Multiple (LCM)
The least common multiple (LCM) of the denominators 5 and 7 is 35. This means we need to convert both fractions to have a denominator of 35.
Step 2: Convert the Fractions
Convert 3/5 to have a denominator of 35
To do this, we multiply both the numerator and denominator of 3/5 by 7:
3/5 = (3 × 7) / (5 × 7) = 21/35
Convert 2/7 to have a denominator of 35
To do this, we multiply both the numerator and denominator of 2/7 by 5:
2/7 = (2 × 5) / (7 × 5) = 10/35
Step 3: Add the Fractions
Now that both fractions have the same denominator, we can add them:
21/35 + 10/35 = (21 + 10) / 35 = 31/35
Therefore, the answer to 3/5 + 2/7 as a fraction is:
31/35