how do you add 2/3 plus 5/8

Find a common denominator.

First you change them to equivalent fractions with the same denominator.

2/3 = 16/24
5/8 = 15/24

Now, just add the numerators.

then what do i do with 16/24 and 15/24

All you have to do is add 16/24 and 15/24

Add the numerators.

To add fractions, you need to have a common denominator. The common denominator is the least common multiple (LCM) of the two denominators. Let's break down the steps to add 2/3 and 5/8:

Step 1: Find the least common multiple (LCM) of 3 and 8.
- The multiples of 3 are: 3, 6, 9, 12, 15, 18, 21, 24, ...
- The multiples of 8 are: 8, 16, 24, 32, 40, ...
- The least common multiple (LCM) of 3 and 8 is 24.

Step 2: Convert the fractions to have a common denominator of 24.
- Multiply the numerator and denominator of 2/3 by 8 (to get a denominator of 24): (2/3) x (8/8) = 16/24.
- Multiply the numerator and denominator of 5/8 by 3 (to get a denominator of 24): (5/8) x (3/3) = 15/24.

Step 3: Add the fractions.
- Now that the fractions have a common denominator, you can add them: 16/24 + 15/24 = (16 + 15)/24 = 31/24.

Therefore, 2/3 + 5/8 equals 31/24.