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So I have no idea how this even works so yeah can somebody please help me

So I have no idea how this even works so yeah can somebody please help me-example-1

1 Answer

3 votes

I'll do the first one to get you started.

We want to compare the two fractions 3/4 and 7/8. For now, let's assume they are equal. Chances are they aren't, but we'll assume they are until we know otherwise.

So we have this equation 3/4 = 7/8

Let's cross multiply to get 3*8 = 4*7. Check out the attached image to see what I mean about "cross multiply" if you're not sure.

The equation 3*8 = 4*7 turns into 24 = 28 after you simplify each side. Clearly both sides aren't the same so the equation is not true. Meaning that the original equation 3/4 = 7/8 is not true. The right side of 24 = 28 is larger, so the right side of 3/4 = 7/8 is larger

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Here's how it looks like listed out

3/4 = 7/8

3*8 = 4*7

24 = 28

The right side is larger, so we must change all the equal signs to less than signs

3/4 < 7/8

3*8 < 4*7

24 < 28

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So that is why 3/4 is less than 7/8

Alternatively, you can use your calculator to find that 3/4 = 0.75 and 7/8 = 0.875; comparing 0.75 and 0.875, we see that 0.875 is larger. Therefore 7/8 is larger.

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Final Answer: A less than sign

So I have no idea how this even works so yeah can somebody please help me-example-1
User Saeed Arianmanesh
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