Write each fraction in lowest terms. 18/90

Question

Accepted Answer

Welcome back. I am so glad you're here. We are given this fraction eight, 120th and were asked to simplify it. Well, when we've got a fraction, we want to ask ourselves what is the highest factor that can go into both the and the denominator. And then we're going to divide both the numerator and the denominator by that number. Sometimes it's quite clear what the highest factor that goes into both is. And sometimes it's not when it's not totally clear, you can build a factor tree so you can say what goes into eight. Well that's two times four. And we know that four breaks down to two times two. So we've got two times two times two gives us eight and 120. Well, we know that's even so we can take that divided by two and that's two times 60 60 is six times 10. 6 would be two times three and 10 would be two times five. So two times two times three times two times five gives us 120. And then to find the biggest factor, we find the ones that are shared between the two numbers. So they both have a two. They both have another two And they both have another two. So two times two times two. Well, we know that that is eight, so eight goes into both of them. We can divide them both by 88 divided by eight for the numerator. Well that's 1, 120 divided by eight. You could put that into a calculator or do long division or you can look over here and you can see what is left over for these factors. And that's three times five, which is 15. So 120 divided by eight is 15. And this simplifies to 1/15. We look at our answer choices and this matches with answer choice. D. Well done, we'll catch you on the next one.

Write each fraction in lowest terms. 18/90

Key Concepts

Simplifying Fractions

Greatest Common Divisor (GCD)

Prime Factorization

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