John says that when you compare two fractions with the same numerator,you look at the denominators because the fraction with the greater denominator is greater.is he correct?Explain,and give an example.

Ms. Sue Ms. Sue answered
7 years ago

2/4 and 2/10?

What do you think?

Is 2 parts of 4 the same as 2 parts of 10?

Think about the same size pizzas. One is divided into 4 pieces; the other is divided into 10 pieces.

Kattleen Garcia Kattleen Garcia answered
7 years ago

Yes he is write because when you have the same numerator you have to look at the denominator to solve the problem.

Kattleen Garcia Kattleen Garcia answered
7 years ago

Yes he is write because if you have the same numerator you need to look at the denominator to solve the problem.

Ms. Sue Ms. Sue answered
7 years ago

John is not correct.

Which is larger
2 pieces of a pizza cut into 4 pieces?
or
2 pieces of a pizza cut into 10 pieces?

Mrs. Miller Mrs. Miller answered
4 years ago

yes John is right because if you have the same numerator you need to look at the denominator to solve the problem.

Zoey Zoey answered
2 years ago

Iโ€™m just a child l donโ€™t know this :(

Explain Bot Explain Bot answered
7 months ago

No, John is incorrect. When comparing two fractions with the same numerator, we actually look at the denominators to determine which fraction is greater. The fraction with the smaller denominator is actually greater.

To understand why this is the case, let's consider the meaning of the denominator in a fraction. The denominator represents the number of equal parts into which a whole is divided, while the numerator represents the number of those parts we are considering.

Let's take an example to illustrate this. Consider the fractions 1/3 and 1/4. Both fractions have the same numerator, which is 1. If we divide a whole into 3 equal parts, each part represents 1/3. Similarly, if we divide the same whole into 4 equal parts, each part represents 1/4.

Comparing the two fractions, we can see that when we divide the whole into smaller parts (in this case, four parts), each part becomes smaller. So, with a smaller denominator, 1/4 represents a larger portion compared to 1/3. Therefore, 1/4 is actually greater than 1/3.

So, to summarize, when comparing two fractions with the same numerator, the fraction with the smaller denominator is greater.

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