# Tag Info

### Student asked me if it is necessary to simplify fractions at the end of answering a question. I'm not sure how to respond

The short answer to your question is: everyone is right. I agree with people here that in many contexts, $0.75$ or $\frac{3}{4}$ would be a more desirable answer than $\frac{45}{60}$. I also agree ...
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### Why do some students struggle so much with fractions?

There are many reasons why fractions are so hard for students to learn. Mostly, they're taught gibberish and assessed according to such gibberish. Example 1 You are a 12-year-old student who has ...
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### Don't these word problems seem designed to be confusing?

I think there's a countervailing issue that the book you're describing is trying to deal with. I teach college students, so I don't know what the particular approach it's taking is age appropriate ...
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### What is the rationale for distinguishing between proper and improper fractions?

added Oct 6 The reason mixed numbers are found in US education is that mixed numbers are found outside of school in the US, so the children need to learn to understand them. Mixed numbers are found ...
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Accepted

### Student asked me if it is necessary to simplify fractions at the end of answering a question. I'm not sure how to respond

I tell my students this story when this issue comes up: Imagine you are answering the phone at the local pizza place. Someone on the other end says "Yes, I'd like to place an order. I'd like ...
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### How to explain the difference between the fraction a / b and the ratio a : b?

There are several possible fractions one could associate with a given ratio. Say that a recipe for lemonade calls for $2$ cups of lemon juice and $5$ cups of water. This could be expressed with the ...
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### Don't these word problems seem designed to be confusing?

I feel like I always post the same thing in these threads, but this again sounds like an issue of blocking vs interleaving. In this case, the textbook may have started interleaving different problems ...
• 2,775