Write each fraction in lowest terms. 16/64

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given the fraction 36, and were asked to simplify it. So what we need to ask ourselves is are there any factors that go into both? 36 and 108 and eight And we want to come up with the highest factor that goes into both of them and divide both of them by that highest factor. So sometimes it's really obvious what is the highest factor that goes into both of them and sometimes it's not. So when it's not quite as obvious you can build a factor tree, you can take 36. Well we know that that's six times six and six is two times three. So there you can see all of the factors with 108. Well we know that that's an even number. And so we know that two goes into it and so we can take two times 54 54. Hey, that is six times 96. We know is two times three and nine is three times three. So now we've got all the factors broken down and we can find out what the biggest one is by finding the ones that are the same. So they both have a two. They both have a three, They both have another two And they both have another three. So two times three is six times two is 12 times three is 36. 36 goes into both of these, We can divide them both by And 36 divided by 36 is 1, 108 divided by 36. You can put that in a calculator or you see that here. What's left over? Is this three? That's the only factor left. So it's going to be 36 times three equals 108. So this simplifies to one third. We look at our answer choices and this matches with answer choice. C Well done, we'll catch you on the next one.

Write each fraction in lowest terms. 16/64

Key Concepts

Fractions

Lowest Terms

Greatest Common Divisor (GCD)

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