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Write equivalent fractions using the least common denominator for 3/5 11/12/and 18/16 please show me how and the answer

2006-12-16 07:53:37 · 8 answers · asked by happygo 1 in Science & Mathematics Mathematics

8 answers

3/5 = 144/240

11/12 = 220/240

18/16 = 270/240

The LCD is 240.

First of all, the least common denominator is a multiple of all the
denominators. In fact it is the least common multiple (LCM) of all the
denominators. One can find the LCM of a set of numbers by doing it two
numbers at a time. Find the LCM of the first two numbers. Then find
the LCM of that result and the third number. That will be the LCM of
the first three numbers. Now find the LCM of this result and the
fourth number, and so on. This reduces the problem to dealing with
just two numbers at a time.

First method:
Write down the multiples of the two numbers in two lists. Find the
numbers which are on both lists, and pick the smallest.

Example: LCM of 12 and 18. Multiples of 12 are {12, 24, 36, 48, 60,
72, ...}. Multiples of 18 are {18, 36, 54, 72, ...}. Numbers common
to both lists are {36, 72, ...}. The smallest is 36, the answer.

Second method:
Factor the two numbers into products of powers of prime numbers.
Create a new number multiplying together all the primes occurring in
either number, raised to the higher of the two exponents. That is the
LCM.

Example: LCM of 45 and 12. 45 = 3^2*5, 12 = 2^2*3.
New number = 2^2*3^2*5 = 180, the LCM sought.

Third method:
Find the greatest common divisor of the two numbers. Multiply the two
numbers together and divide by the greatest common divisor. (You have
to know how to find the greatest common divisor to be able to use this
method. Do your students know how to do that?)

Example: LCM of 45 and 12. Greatest common divisor is 3. LCM is
45*12/3 = 180.

2006-12-16 08:05:08 · answer #1 · answered by Anonymous :) 5 · 0 0

Find LCD with Prime Factorization of 5, 12, and 16:

5 = (2^0)(3^0)(5^1)

12 = (2^2)(3^1)

16 = (2^4)

So, LCD(5, 12, 16) = (2^4)(3)(5)...simply the highest exponent of each prime factor. This is also called the Least Common Multiple (LCM).

16*3*5 = 240, so, LCD(5, 12, 16) = 240.

and 3/5 = 3*48/5*48 = 144/240
and 11/12 = 11*20/12*20 = 220/240
and 18/16 = 18*15/16*15 = 270/240.

also, you could reduce 18/16 to 9/8, first, and then use this same algorithm.

hope this helps...

2006-12-16 08:16:09 · answer #2 · answered by mr green 4 · 0 0

Okay,you have to find the least common denominator, which is the least number than is divisible by all the denominators. I got that as 240.

Look at the first fraction, 3/5. How many times does 5 go in 240? 48. THen multiply this by the numerator. 48 x 3 = 144.

Do this for all the other ones. You get

144/240, 220/240, and 270/240.

Hope that helps.

2006-12-16 07:59:25 · answer #3 · answered by teekshi33 4 · 0 0

its been a at the same time as for the reason that i did this buuuuuut: the graph is moved to the right ( by using 40 5 tiers or pi/2) there is not any vertical move era: 4pi DONT TAKE ALL OF MY solutions FOR GARENTEE, this is been because the starting up of the 365 days for the reason that i tried this.....

2016-10-18 09:18:37 · answer #4 · answered by canevazzi 4 · 0 0

I provide VERY detailed FREE math tutoring on how to do fractions. Visit my web site www.videomathtutor.com and look at Basic Math: Lesson #6.

It should help you solve not only your specific problem, but others.

Good Luck!

2006-12-16 08:33:56 · answer #5 · answered by videomathtutor 1 · 0 0

3/5

11/12
12=2^2*3
18/16
16=2^4

LCD=5*3*2^4=240
3/5=144/240
11/12=220/240
18/16=270/240

2006-12-16 07:59:06 · answer #6 · answered by yupchagee 7 · 1 1

hi, i had a similar question and a student answered it at http://www.schoolpiggyback.com ..check it out...it worth a shot...its jus a bunch of students that do the work for you..goodluck : ) plus,,if you're smart you can make money answering other student's questions

2006-12-16 07:56:43 · answer #7 · answered by lori b 2 · 0 2

i'm srry i seen this b4 but i jus dn't remember it

2006-12-16 07:59:34 · answer #8 · answered by Restricted 4 · 0 3

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