Thread: Comparing Percents, Decimals, and Fractions

I am trying to help my daughter with her homework. I cannot remember how to change percents or decimals. Sad I know?!

Her assignment is using greater than, less than, and equal. For example:

62% 5/8 I can't remember the steps to figure out which is
greater than, less than, or equal.

0.9 9% This is another kind of example.

ANY help would be appreciated. I am at a loss!

Thank You!
Hope

Originally Posted by Hope

I am trying to help my daughter with her homework. I cannot remember how to change percents or decimals. Sad I know?!

Her assignment is using greater than, less than, and equal. For example:

62% 5/8 I can't remember the steps to figure out which is
greater than, less than, or equal.

0.9 9% This is another kind of example.

ANY help would be appreciated. I am at a loss!

Thank You!
Hope

Percent means divided by 100.

Thus,
And,


Commond denominator is 200.

Multiply the first fraction by 2 and second 25.





Thus, the first one is larger.

Originally Posted by Hope

I am trying to help my daughter with her homework. I cannot remember how to change percents or decimals. Sad I know?!

Her assignment is using greater than, less than, and equal. For example:

62% 5/8 I can't remember the steps to figure out which is
greater than, less than, or equal.

0.9 9% This is another kind of example.

ANY help would be appreciated. I am at a loss!

Thank You!
Hope

A) To change percent to decimals:

Percent is "per century" or per hundred.
So 62% = 62/100 = 0.62
Or, as short cut, move the decimal point 2 places to the left.
In 62, the decimal point is understood to be at the end of the number, after the 2. So move the not-shown decimal point to two places to the left. Past 2, past 6, so ----0.62.

9% = 9/100 = 0.09
Or, 9. ----move the decimal point two places to the left = .09 = 0.09

B) To change decimals to percent:

Reverse the procedure mentioned above. Now it is move the decimal point two places to the right.
0.62 = 62%
0.09 = 9%
0.005 = 0.5%
1.5943 = 159.43%

To change a fraction to decimals, just divide the numerator by the denominator.
5/8 = 5 divided by 8 = 0.625
If you want that in percent, you move the decimal point to two plces to the right, thus, 0.625 = 62.5%

-----------------------------------------
Compare 62% and 5/8

You can do that in decimals. Convert both in their decimal forms.
62% = 0.62
5/8 = 0.625
Since 0.625 is greater than 0.62,
then 62% is less than 5/8
or 5/8 is greater than 62%.

----------------------------------------
0.9 and 9%

1) Say, put them in tdecimal forms.
0.9 = 0.9
9% = 0.09
So, since 0.9 is grater than 0.09 ----(0.9 is also 0.90, or 0.9000000, etc)
then, 0.9 is greater than 9%.

Or, 9% is less than 0.9

2) Say, put them in their % forms.
0.9 = 90%
9% = 9%
So, 0.9 is greater than 9%

Hello, Hope!

Greater than, less than, or equal?

As was pointed out, "percent" means "per hundred".

To change a percent to a fraction:
. . write the number over 100,
. . drop the percent sign.

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~



First: .

Now we compare and
. . . .


Here's a trick you can use for comparing fractions: "cross-multiply".

We have: . .


Since , the correct sign is "less than".


Answer: .

~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~ ~



First,

We have: .

Cross-multiply: .


Since , the correct sign is "greater than".


Answer: .