Question

Rewrite each of the following expressions using equivalent fractions with a common denominator. Add the fractions

1/3+1/5=
5/6+1/4=
3/5+1/8=

Answer 1

To add fractions with different denominators, you need to find a common denominator. Then, you can add them by adding the numerators. The fractions 1/3 + 1/5 = 8/15, 5/6 + 1/4 = 13/12 or 1 1/12, and 3/5 + 1/8 = 29/40.

Step-by-step explanation:

To add fractions with different denominators, we need to find a common denominator. Let's look at each expression:

1. 1/3 + 1/5: To find a common denominator, we can multiply 3 and 5 to get 15. So, the equivalent fractions become 5/15 + 3/15. Adding the numerators, we get 8/15.
2. 5/6 + 1/4: The common denominator here is 12 (6 multiplied by 2). So, the equivalent fractions become 10/12 + 3/12. Adding the numerators, we get 13/12. We can simplify this fraction to 1 1/12.
3. 3/5 + 1/8: The common denominator here is 40 (5 multiplied by 8). So, the equivalent fractions become 24/40 + 5/40. Adding the numerators, we get 29/40.