Answer: 3/4
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Step-by-step explanation:
Think of "eighths" as the name of a coin type.
The fraction 5/8 means "5 eighths" which we can think of as "5 coins".
Similarly, 1/8 can be thought of as "1 coin" because of 1 in the numerator.
We have two coins of the same type (both "eighths") which means we can combine the coin counts to get 5+1 = 6 coins total.
In other words, 1/8 + 5/8 = (1+5)/8 = 6/8
This is why we add the numerators but keep the denominators the same. If the denominators were different, then we cannot combine the fractions until we get them to the same denominator (such as the LCD).
Having different denominators is like adding apples to oranges. Unless we can somehow get them to the same unit, then adding wouldn't make much sense.
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After adding, we need to reduce the result.
The numbers 6 and 8 have the common factor 2.
Divide each by this common factor.
You can write it like this if you wanted:
Or in short,
If you cut a pizza into 8 slices, and eat 6 of them, then it's the same as eating 3 out of 4 total slices. That's one visual way to represent the fraction 6/8 turning into 3/4.