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Yes, five sixths is definitely greater than three eighths. We can prove this by changing the fractions to share a common denominator (ie. the number at the bottom of the fraction is the same for both)

If we use a denominator of 24, which can be divided by both 6 and 8, we can determine which of the fractions are bigger.

So, if we multiply 6 x 4 to get 24, we must also multiply the numerator (5) by 4.

5 x 4 = 20

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6 x 4 = 24

Now we know that with a denominator of 24, the fraction becomes twenty twenty-fourths.

We now multiply the 8 x 3 to get 24, doing the same to the numerator of that fraction (3).

3 x 3 = 9

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8 x 3 = 24

Now we know that with a denominator of 24, the fraction becomes nine twenty-fourths.

So, which is bigger?

20 9

--- > ---

24 24

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14y ago

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