A community for students.
Here's the question you clicked on:
 0 viewing
anonymous
 5 years ago
can you show me how to get the least coomon multilple of the denominator for 2/3+1/6
anonymous
 5 years ago
can you show me how to get the least coomon multilple of the denominator for 2/3+1/6

This Question is Closed

anonymous
 5 years ago
Best ResponseYou've already chosen the best response.0When you add fractions with the same denominator, it's very easy. 1/4 + 2/4 = 3/4. 3/9 +4/9 = 7/9. 8/10213 + 11/10213 = 19/10213. You'd add the numerators normally, and the denominators would be the same. And it makes sense that a quarter slice of pizza plus 2 quarter slices give you 3 quarter slices of the pizza. But sometimes, you need to add fractions that don't have common denominators. Like 1/4 + 1/2. Or 1/3 + 4/9. What you can do then is to "common denomintorize" them. What is the least common multiple of 2 and 4? Multiples of 2 are 2, 4, 6, 8, 10, ... Multiples of 4 are 4, 8, 12, 16, ... What is the smallest number that's in both lists? Well that'd be 4. Or the LCM(2, 4) = 4. That means we want to make the fractions in 1/4 + 1/2 have a denominator of 4. So we'd like to express 1/2 as a fraction with a denominator of 4. We can multiply 1/2 on the numerator and denominator by 2 to get a denominator 4. giving us that 1/2 = 2/4. So now 1/4 + 1/2 = 1/4 + 2/4. And that's just 3/4. So in your problem what's the least common multiple of 3 and 6?
Ask your own question
Sign UpFind more explanations on OpenStudy
Your question is ready. Sign up for free to start getting answers.
spraguer
(Moderator)
5
→ View Detailed Profile
is replying to Can someone tell me what button the professor is hitting...
23
 Teamwork 19 Teammate
 Problem Solving 19 Hero
 Engagement 19 Mad Hatter
 You have blocked this person.
 ✔ You're a fan Checking fan status...
Thanks for being so helpful in mathematics. If you are getting quality help, make sure you spread the word about OpenStudy.