What is the sum for 3/10 and 5/100

30/100 + 5/100 = 35/100

but
35/100 = 7/20

To find the sum of 3/10 and 5/100, we need to make sure that the denominators are the same. In this case, the denominators are already different, so we need to find a common denominator.

First, let's find the least common multiple (LCM) of 10 and 100. The multiples of 10 are 10, 20, 30, 40, 50, 60, 70, 80, 90, 100, ... and the multiples of 100 are 100, 200, 300, 400, 500, 600, 700, 800, 900, 1000, ...

From these multiples, we can see that the LCM of 10 and 100 is 100.

Now, we need to express both fractions with the same denominator, which is 100.

To convert 3/10 to an equivalent fraction with a denominator of 100, we multiply both the numerator and denominator by 10:
(3/10) x (10/10) = 30/100

To convert 5/100 to an equivalent fraction with a denominator of 100, we don't need to do anything since the denominator is already 100.

Now that both fractions have a denominator of 100, we can add them together:
30/100 + 5/100 = 35/100

Therefore, the sum of 3/10 and 5/100 is 35/100.