# Fractions

• Sep 26th 2012, 04:58 AM
Spixol123
Fractions
If 2/9 of a number is 36, then the number is

A) 162 (B)8 (C)324 (D)648
• Sep 26th 2012, 05:12 AM
johnsomeone
Re: Fractions
The proper way to do this is to set up an equation for the number you're trying to find. Any thoughts on what that equation might be?
• Sep 26th 2012, 05:27 AM
Spixol123
Re: Fractions
iv worked this one out. 162/36 dived by 2 = 81/18 divided by 9 = 9/2 thanks mate :)
• Sep 26th 2012, 06:15 AM
HallsofIvy
Re: Fractions
Yes, that's right- though this is a strange way of putting it! It took me a moment to realize that you were using "/" as a 'separator', not meaning division. You are saying, "The answer is 162. 36 divided by 2 = 18." (not "81"- that was a typo). But now I am confused. You say "18 divided by 9 is 2." And therefore ???? Where did "162" come from.

In fact, the problem is "2/ 9 of a number is 36". That is, if you multiply a number by 2 and then divide by 9, you get 36. Okay, to go back to the number work backwards! Instead of multiplying by 2, divide by 2: 36 divided by 2 is 18, just as you say. Instead of dividing by 9, multiply by 9: 18 times 9 is 162.
• Sep 26th 2012, 06:50 AM
rudsdiey
Re: Fractions
Hi Spixol,

i would suggest you to put an equation (as per john advised) rather than try one by one.

let substitute the number as x, then;

2/9 of x = 36
or
2/9 * x = 36

x = 36*9/2

x= 162

cheers...