Which expressions are equivalent to the one below? Check all that apply.
1 answer:
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Step-by-step explanation:
In adding fractions, first you have to make the denominators the same. To do this, you need to find the GCF (greatest common factor).
3/4 + 4/8
The GCF on this would be 8, since both 4 and 8 can go into it. Next, you need to change both the denominators to the GCF, but you have to make sure the fractions are still equal to the original one. To do this, you have to multiply the numerator by the amount the original denominator is multiplied to get to the GCF.
4(2) = 8
3(2) = 6
So now you have 6/8 + 4/8. Next, you just add up the numbers normally, leaving the denominators the same.
6/8 + 4/8 = 10/8
If necessary, you simplify the fraction. To do this, you need to find the smallest number that goes into both of them, besides one. In this case, it would be 2. Then, you divide both the numerator and denominator by that number.
10/2 = 5
8/2 = 4
Then, to find the most simplified version, you need to divide the numorator by the denominator.
5/4 = 1 with a remainder of 1.
You put your answer as the whole number, and your remainder as the numorator. Leave the denominator the same.
1
Hope this helped with adding fractions!