You want to make intergers out of the fraction 1/4 2/5 4/7 5/8 by multiplying each fraction by the same integer n. What is the smallest n that will work.
n is the integer
2006-09-07 15:13:00 · 5 answers · asked by Cowman 1 in Science & Mathematics ➔ Mathematics
Look at the denominators...
4 is a factor of 8 and no other denominator is a factor of any other denominator thus the answer is...
n= 5*7*8= 280
2006-09-07 15:26:23 · answer #1 · answered by Andy S 6 · 0⤊ 0⤋
That's a damn good question. Let me think on that one and come back...
Okay, take what you need to get 1/4 to an integer... 4.
To get 2/5 to an integer... 10
to get 4/7 to an integer... 14
to get 5/8 to an integer... 8
We have to find a common multiplier of all these numbers. 4480 is a common multiplier.
Check 4480 by multiplying all the fractions by it. It works, but there's sure to be a smaller number... I divide 4480 by 14.. get 320 which also checks out.
320 it is!
280 is a better answer. I made the mistake of multiplying 4 when 4 is already a factor of 8.
2006-09-07 22:17:31 · answer #2 · answered by Anonymous · 0⤊ 0⤋
280.
It's really all dependent on the denominator.
4 goes into it 70 times
5 goes into it 56 times
7 goes into it 40 times
8 goes into it 35 times
2006-09-07 22:18:44 · answer #3 · answered by Steven B 6 · 0⤊ 0⤋
n=140
2006-09-07 22:20:39 · answer #4 · answered by ja\\James W 1 · 0⤊ 0⤋
hard part is that the number has to end in a zero
280 those the lowest
jsut to be sure check b/w 120-240 make sure it ends in a zero
2006-09-07 22:21:25 · answer #5 · answered by rpm810@sbcglobal.net 3 · 0⤊ 0⤋