Simplest terms add 2 1/5+3 3/10

1 answer

To add two fractions, we need a common denominator. In this case, the common denominator is 10.

Firstly, we convert the mixed numbers into improper fractions.

2 1/5 = (2 * 5 + 1) / 5 = 11/5
3 3/10 = (3 * 10 + 3) / 10 = 33/10

Now, we can add the fractions as follows:

11/5 + 33/10

To find a common denominator, we multiply the denominators together: 5 * 10 = 50.

We need to adjust the numerators accordingly:

(11/5) * (10/10) = 110/50
(33/10)

Now, we can add the fractions:

110/50 + 33/10

To add the fractions, we keep the common denominator and add the numerators:

(110 + 33) / 50 = 143/50

So, the sum of 2 1/5 and 3 3/10 is 143/50.