Add the following fractions: 3/7 + 1/5

1 answer

To add the fractions 3/7 and 1/5, we need to find a common denominator. The least common multiple of 7 and 5 is 35. Therefore, we need to rewrite both fractions with a denominator of 35.

To rewrite 3/7 with a denominator of 35, we multiply the numerator and denominator by 5: (3/7) * (5/5) = 15/35.

To rewrite 1/5 with a denominator of 35, we multiply the numerator and denominator by 7: (1/5) * (7/7) = 7/35.

So, 3/7 + 1/5 = 15/35 + 7/35.

Now that both fractions have a common denominator of 35, we can simply add the numerators: 15 + 7 = 22.

Therefore, 3/7 + 1/5 = 22/35.