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ratios exercise

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Master | Next Rank: 500 Posts
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by francoisph » Mon May 17, 2010 5:37 am
hi guys
do you have techniques to reduce?

reduce the ratios to lowest terms

1 6.9 : 2.1

2 1.6 : 0.4 : 0.16

3 0.75 : 1.85

4 81 : 1/3

5 5/12 : 1/12

thks
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by asamaverick » Mon May 17, 2010 6:37 am
Here is how I would go about this. Not sure if there is another (simpler) way.

1) 6.9 : 2.1
Get rid of the decimals (multiply by 10) to get 69 : 21.
The GCD is 3, which leads to 23:7 (dividing by 3).

2) 1.6 : 0.4 : 0.16
Get rid of decimals, multiply by 100. You get
160 : 40 : 16 The GCD is 8. Dividing each by 8 leads to
20 : 5 : 2

3) 0.75 : 1.85
Get rid of decimal, to get 75 : 185. The GCD is 5, on division by 5 we get.
15 : 37

4) 81 : 1/3
Multiply each side by 3 to get 243 : 1 to get the simplest form.

5) 5/12 : 1/12
Multiply each side by 12 to get 5 : 1 (which is the simplest form)
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by francoisph » Tue May 18, 2010 4:07 am
THKS

how to convert to a fraction below ?
0.036%
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by gmatmachoman » Tue May 18, 2010 4:21 am
francoisph wrote:THKS

how to convert to a fraction below ?
0.036%
0.036/100= 36/ 100*1000
=36/100000
= 18/50000
= 9/25000
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