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what is the answer, i have two different set of answers.

2007-10-09 15:06:26 · 10 answers · asked by toystoryx 1 in Science & Mathematics Mathematics

10 answers

First, recognize that 3/9 is 3/(3 x 3) = 1/3 So,

1/3 + 1/4

Now, we need to get the denominators of the fractions the same so we can add them. What number is divisible by both 3 and 4? Well, 12 will do (it is the smallest), but any number divisible by both 3 and 4 would do. Let's use 12. We multiply each fraction by 12/12 (that's just 1, and multiplying anything by 1 gives us that thing back again). So,

(1/3)(12/12) + (1/4)(12/12) =
12/(3 x 12) + 12/(4 x 12)

But that is just (dividing 12 by 3 on the left and 12 by 4 on the right)

4/12 + 3/12 = 7/12

To show you that any number divisible by 3 and 4 will do, let's pick 48 (UGH!). We do the same thing:

(1/3)(48/48) + (1/4)(48/48) = 48/(3 x 48) + 48/(4 x 48) =

16/48 + 12/48 = 28/48 = (4 x 7)/(4 x 12) = 7/12

HTH

Charles

2007-10-09 15:21:26 · answer #1 · answered by Charles 6 · 0 0

3/9 + 1/4 = 1/3 + 1/4 = (4 + 3)/12 = 7/12

2007-10-09 22:14:23 · answer #2 · answered by Ivan B 5 · 0 0

First make them equal denominator
= 3(4) / 9(4) + 1(9) / 4(9)
= 12 / 36 + 9 / 36
= 21 / 36
= 7 / 12

2007-10-09 22:14:31 · answer #3 · answered by Rayan Ghazi Ahmed 4 · 0 0

12 / 36 + 9 / 36 = 21 / 36 = 7 / 12

2007-10-10 14:34:23 · answer #4 · answered by Como 7 · 0 0

First get the Least Common Denominator (LCD), which, in this case is 36.

Then multiply 36 by each fraction. Use cancellation:

12/36 + 9/36 = 21/36

To reduce to its simplest term, divide both the numerator and the denominator by their Greatest Common Factor (GCF), which, is 3. The answer would be:

7/12

2007-10-09 22:12:50 · answer #5 · answered by edith p 3 · 0 0

3/9 + 1/4
=1/3 + 1/4
=4/12 + 3/12
= 7/12.
Simple!

2007-10-09 22:12:31 · answer #6 · answered by student 2 · 0 0

So, first of all make them have equivalent denominators, to add them. Let's have the denominator 36.
3/9=12/36 and 1/4=9/36.
So, adding numerators, 12+9=21/36.
Reduce and that's, 7/12

2007-10-09 22:12:23 · answer #7 · answered by smile ♥ 4 · 0 0

7/12

2007-10-09 22:10:17 · answer #8 · answered by john 4 · 0 0

12/36 + 9/36 = 21/36

Reduce that and it's

7/12

2007-10-09 22:09:28 · answer #9 · answered by Ms. Exxclusive 5 · 1 0

21/36

2007-10-09 22:10:39 · answer #10 · answered by ElectroJewelz 5 · 0 0

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