Where did the 2 come from

  • Thread starter jim1174
  • Start date
  • #1
78
0

Main Question or Discussion Point

I need some help with this fraction problem. 8 5/6 - 1 1/3 you Need to rewrite the problem as 8 5/6 - 1 2/3 where did the two come from ?
 

Answers and Replies

  • #2
Stephen Tashi
Science Advisor
7,006
1,233
Can you show the whole text of this problem and supposed solution?
 
  • #3
78
0
The problem is 8 5/6 - 1 1/3 the answer is 8 5/6 - 1 2/6 answer 7 1/2 I just want to know how they got the 2 in 2/6
 
  • #4
33,260
4,962
The problem is 8 5/6 - 1 1/3 the answer is 8 5/6 - 1 2/3 answer 7 1/2
The expression is either 8 5/6 - 1 1/3 or 8 5/6 - 1 2/3. The two are not the same.

Since the answer is 7 1/2, the problem must have been 8 5/6 - 1 1/3. The only explanation for 8 5/6 - 1 2/3 is that it's a typo.

Edit: Jim, I didn't notice that you revised what you wrote in your later post. 1 1/3 is the same as 1 2/6.
 
  • #5
Stephen Tashi
Science Advisor
7,006
1,233
They changed 1/3 to 2/6 by multiplying the top and bottom of the fraction 1/3 by the number 2.
 
  • #6
78
0
The question is 8 5/6 - 1 1/3 you are supposed to re write the problem as 8 5/6 - 1 2/6 what I want to know is when they changed the 1/3 to 2/6 where did the two come from
 
  • #7
NascentOxygen
Staff Emeritus
Science Advisor
9,244
1,071
You can multiply the top of a fraction by any number so long as you multiply the bottom of that fraction by the same AND THIS DOESN'T CHANGE THE VALUE of that fraction.

So 1/3 is equivalent to 2/6 in all regards.

QUESTION: Would you prefer 1 slice of a pie after the pie was cut up into 3 equal pieces, or
would you prefer 2 slices of the same pie after it had been cut into 6 pieces?

ANS: there is no difference!

The decision to convert the denominator into a 6 was so that it matched the denominator of the first fraction in the problem.
 
Last edited:
  • #8
DrClaude
Mentor
7,142
3,278
If I may propose a different way of seeing it: any number multiplied by 1 is the same number. Therefore, you can always multiply any fraction by ##n/n## (provided ##n## is not zero!):

$$
\frac{1}{3} = \frac{1}{3} \times 1 = \frac{1}{3} \times \frac{2}{2} = \frac{2}{6}
$$
 

Related Threads for: Where did the 2 come from

  • Last Post
Replies
10
Views
2K
Replies
13
Views
2K
  • Last Post
Replies
4
Views
9K
  • Last Post
Replies
3
Views
1K
  • Last Post
Replies
3
Views
1K
Replies
4
Views
1K
  • Last Post
Replies
2
Views
2K
Replies
4
Views
641
Top