Write each mixed number as an improper fraction. 2(3/5)

Question

Accepted Answer

welcome back. I am so glad you're here. We are given this mixed number four and 7/8 and were asked to express it as an improper fraction. Well, there are a couple of ways to think about this. We have got a whole number four plus 7/8 of a whole number. And we want to get that four to become part of the fraction to what we want to do is add these four holes to the 7/8. So we can add them up. We know that four is the same as 4/1. And to add two fractions, we need to have a common denominator. So the common denominator here would be eight and we can take eight times the one on the bottom to get an eight for that. But what we do to the bottom we do to the top as well. So we're going to multiply it by 88 which simplifies to one. It's like we're just multiplying it by one. We're not really changing it. Right? So we take eight times four in the numerator there and that will be 32 over eight times one, which is eight plus 7/8. And now that we have a common denominator, we can do the addition for the numerator, 32 plus seven is 39. And when adding two fractions, the denominator stays the common denominator. So here's our answer choice. Now I want to show you now that we know what we're doing a little bit of a faster way to visualize this. We're going to take the whole number four And we're going to multiply it by the denominator eight and that's where we got 32. And then we're going to take that number add it to the numerator, 32 plus seven gives us our then that's still over. The denominator doesn't change 39/8. So a little bit faster way to solve it. We look at our answer choices and that matches with answer choice. D Well done, we'll catch you on the next one.

Write each mixed number as an improper fraction. 2(3/5)

Key Concepts

Mixed Numbers

Improper Fractions

Conversion Process

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