Which is greater 1/4 or 1/8?

Answer 1

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Solution 1:

A family of four (4) ordered a pizza. They wanted to eat equal parts of pizza, which then be 1/4 of it.

When pizza was delivered, it was sliced in eight (8) pieces, each 1/8 of pizza.

Each of the family of 4 got the first slice = 1/8 of the pizza, ate it and

took another slice = 1/8 of the pizza.

So we see that each of them ate equal part, which is 1/4 of the pizza, having two slices of 1/8 of it.

We can conclude that 1/4 is equal to two 1/8.

Answer: 1/4 is greater than 1/8.

Solution 2:

To compare two fractions, we need to have them with the same denominator.

As 8 is twice 4, the Least Common (same) Denominator is 8.

As value of the transformed fraction should be preserved, we multiply both the numerator and the denominator of 1/4 by 2.

1*2 / 4*2 = 2/8

1/4 = 2/8 is greater than 1/8, because the denominator is same and the numerator of the first fraction is greater.

Answer: 1/4 is greater than 1/8.

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Solution 3:

1/4 is greater than 1/8, because they have the same numerator, but the second fraction has greater denominator (dividing same into greater number of parts).

Answer: 1/4 is greater than 1/8.

[NOTE: Presented solution(s) depend on the School Grade the student is in, on student's strength in Math, and on the stage of my teaching. I have experience to presenting all three solutions to the same student, making an underperformer a Math-loving kid.]

Answer 2

The best way to compare two fractions is with models. Food related models are always fun.

Let's pretend you have two pizzas.

The first pizza is cut into 4 slices so each slice represents 1/4.

The second pizza is cut into 8 slices so each slice represents 1/8.

Try drawing a picture of the two pizzas on your paper.

Which pizza slice is larger: the one with 4 slices or 8 slices?

Would you rather have 1/4 or a pizza or 1/8 of a pizza?

Of course, 1/4 of the pizza because 1/4 is bigger than 1/8.

Answer 3

Compare 1/4 and 1/8

To compare fractions, you must have a common denominator.

Answer 4

Hello, thank you for taking the time to post your question!

I think the best way to start answering this question is to get a common denominator so that you can more easily compare the fractions

So we have

¼ = 2/8, which would be larger than 1/8

meaning that the greater value here is 1/4

Hopefully that gets you moving in the right direction! Feel free to reach out for a lesson if you have any questions about the process to solve beyond that! :)

Answer 5

1/4 = .250

1/8 = .125

250>125, so 1/4>1/8

1/4 of $1 = a quarter = 25 cents

1/8 of $1 = 12 1/2 cents

25 > 12 1/2 cents

Answer 6

1/ 4 is greater than 1/8.As the denominator increases, the smaller is the fraction.

Answer 7

With comparing fractions, I always like to think in terms of pizza pies! Picture a whole pizza. If you cut it into 4 equal slices, 1/4 means you get 1 big slice out of 4. If you cut the same pizza into 8 equal slices, 1/8 means you get 1 smaller slice out of 8 slices.

Since 4 slices are bigger than 8 slices (because the pizza is split into fewer pieces), 1/4 gives you a bigger piece of pizza than 1/8.



Answer: 1/4 is bigger than 1/8.

Answer 8

To compare fractions rewrite them to have common denominators.

Answer 9

1/4 >1/8

One fourth is greater than 1/8.

🧠 Why?

Imagine you have one pizza:

1. If you cut it into 4 slices and take 1 slice, you get 1/4.
2. If you cut the same pizza into 8 slices and take 1 slice, you get 1/8.

So, 1/4 is a bigger piece than 1/8, because you're taking a part from fewer, larger pieces.

📊 Tip for Students:

The smaller the denominator, the bigger the piece (if the numerator is 1).

If you need more help with fractions I can help. I can also teach you how to change denominators so that they are the same so it is easier to order fractions and compare more than 2 fractions.

Message me today!