solve 2/3 + 5/8
find the LCD, which is 24 and multiply each fraction to get to the LCD
2/3----> 18/24
5/8----> 15/24
now add them
18+15 = 33
so you get 33/24
they need common denominators, so:
1) find a common denominator. in this case, the lowest one is 24.
2) make both denominators = 24.
2/3 x 8/8 = 16/24
5/8 x 3/3 = 15/24
3) add them!
16/24 + 15/24 = 31/24 or 1 7/24
Good job, Student! The answer is 1 7/24.
Oops, Brandon. You've done a great job tonight helping other students -- but when I went to school with the dinosaurs, 2/3 equaled 16/24.
To solve the addition of fractions, we need to find a common denominator. The denominator is the bottom number of a fraction. In this case, the denominators are 3 and 8.
To find a common denominator, we need to determine the least common multiple (LCM) of the two denominators.
The multiples of 3 are: 3, 6, 9, 12, 15, ...
The multiples of 8 are: 8, 16, 24, 32, ...
Looking at both lists, we can see that the least common multiple (LCM) of 3 and 8 is 24. So, we will use 24 as our common denominator.
Now, let's convert the fractions so that they have a denominator of 24:
For the fraction 2/3, since the original denominator is 3 and we want it to be 24, we multiply both the numerator and denominator by 8:
(2/3) * (8/8) = 16/24
For the fraction 5/8, since the original denominator is already 8 and we want it to be 24, we multiply both the numerator and denominator by 3:
(5/8) * (3/3) = 15/24
Now, we have two fractions with the same denominator, so we can add them:
16/24 + 15/24 = (16 + 15)/24 = 31/24
Therefore, the sum of 2/3 and 5/8 is 31/24.