The sum of
and
, expressed in lowest terms, is 41/10.
How to express the sum in lowest terms
To add the two mixed numbers and express the sum in lowest terms, follow these steps:
Convert the mixed numbers to improper fractions.
= (1 * 2 + 1) / 2 = 3/2
Similarly;
= (2 * 5 + 3) / 5 = 13/5
Find a common denominator for the fractions, which in this case is 10.
Rewrite the fractions with the common denominator:
3/2 = (3/2) * (5/5) = 15/10
13/5 = (13/5) * (2/2) = 26/10
Add the fractions:
15/10 + 26/10 = (15 + 26) / 10 = 41/10
Therefore, the sum of
and
, expressed in lowest terms, is 41/10.