Write each improper fraction as a mixed number. 17/12

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given this improper fraction 70- months and were asked to rewrite it as a mixed number. Well, we know that an improper fraction has a numerator greater than the denominator. And the mixed number is a whole number plus the remaining fraction. And we know that 72 13th is the same thing as divided by 13. So what we need to ask ourselves is how many times does 13 going to without going over? That's going to be our whole number. And then we ask ourselves what's left over. That's going to be the remaining fraction. So how many times does 13 go into 72? Well, with numbers like this? Sometimes if you don't have a calculator on hand, It can be helpful to round these. And so we could round up to 75 divided by rounding up to 15 and 75 divided by 15. Well that's five. So we can see how many is 13 times five and see if that gets close to 72 without going over. So five times three, that's 15, carry the 15 times one is five plus one is 65. Yes, 65 is very close to 72. It's there's not another 13 in between them and it doesn't go over. So our whole number is five. Now to express the fraction the denominator is going to stay and for the numerator we're going to take what we started with for the numerator, 72 and subtract the amount that we are taking away, which is going to be 5, 13, 13 or five holes. So this 65 72 minus 65. And that leaves us with seven. So there are 7 13 months left over. And now if you did have a calculator, you can go ahead and plug in this 72 divided by 13 and you'll get something like 5.53846 and so on. And that's very helpful for getting this five, getting our whole number. But how do you get this decimal into a free action? Well that's going to be the same thing. You'll take the whole number five and you multiply it by the denominator. So 13 in this case 13 times five you'll get 65 then you take the original numerator 72 subtract the product you'll get your new numerator seven. So that's how you'll get that same response. If you do have a calculator, we look at our answer choices in this matches with answer choice. A well done. We'll catch you on the next one

Write each improper fraction as a mixed number. 17/12

Key Concepts

Improper Fractions

Mixed Numbers

Division and Remainders

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