How Do You Add Fractions with Different Denominators?

Multiply each fraction by a form of 1 to give them the same denominator: the LCD, which is 24
The fractions now have the denominator of 24!
Write in the numerators that we found, 3, 6, and 8
Add together the numerators, 3+6+8=17
The answer is 17 over 24!

1. Find the smallest common denominator for these fractions, and that will be the LCD!
1. 24 is the smallest number that is a multiple of 8, 4, and 6
2. 8 • 3 = 24
3. 4 • 6 = 24
1. Anything times 1 is itself
1. Anything times 1 is itself
2. We need to multiply 1 over 8 by a form of 1
3. Remember that any number divided by itself is 1
4. Multiply 1 over 8 by 3 over 3
5. Since 8 • 3 = 24, this gives us our LCD, 24, in the denominator
1. Anything times 1 is itself
2. We need to multiply 1 over 4 by a form of 1
3. Remember that any number divided by itself is 1
4. Multiply 1 over 4 by 6 over 6
5. Since 6 • 4 = 24, this gives us our LCD, 24, in the denominator
1. Anything times 1 is itself
2. We need to multiply 2 over 6 by a form of 1
3. Remember that any number divided by itself is 1
4. Multiply 2 over 6 by 4 over 4
5. Since 4 • 6 = 24, this gives us our LCD, 24, in the denominator
1. Now we find the numerators for each fraction:
2. 1 • 3 = 3
3. 1 • 6 = 6
4. 4 • 2 = 8
1. We calculated the numerators before, but here it is again
2. 1 • 3 = 3
3. 1 • 6 = 6
4. 2 • 4 = 8
5. 17 is our numerator
1. Our numerator is 17
1. Our numerator is 17, and our denominator is 24
2. We have our answer, it is 17 over 24!

Find the sum of these fractions:1/8, 1/4, 2/6