Ratios

[KWF]

100 minus 25 equals 75.
25 is 1/4 of 100 and 75 is 3/4 of 100, 25/100 = 1/4 and 75/100 = 3/4.

25/75 equals 1/3 or this can be expressed as a ratio as 25:75 or 1:3.

What relationship is shown here with 25:75 or 1:3 in regards to 100?

Does the ratio indicate the ratio of 1/4 of 100 to 3/4 of 100, or in other words, the ratio of some fractional part
of 100 is to some other fractional part of 100?

I thank you for your reply.

 

[mmm4444bot]

What relationship is shown here with 25:75 or 1:3 in regards to 100?

No particular relationship regarding the number 100 is shown by either of these ratios.

A ratio is a comparison of two numbers. The ratios 25:75 and 1:3 are the same (25:75 reduces to 1:3). That is, each ratio indicates that the second number is three times larger than the first number.

Does the ratio indicate the ratio of 1/4 of 100 to 3/4 of 100, or in other words, the ratio of some fractional part
of 100 is to some other fractional part of 100?

No, but the ratio [1/4 of 100]:[3/4 of 100] is still the same ratio because the second number is three times larger than the first number.

A ratio where 1/4th of any positive number (not just 100) is compared to 3/4ths of the same number will simplify to 1:3.

Are you able to explain why you focus on the number 100, when thinking about the ratio 1:3?

 

[KWF]

What relationship is shown here with 25:75 or 1:3 in regards to 100?
No particular relationship regarding the number 100 is shown by either of these ratios.

A ratio is a comparison of two numbers. The ratios 25:75 and 1:3 are the same (25:75 reduces to 1:3). That is, each ratio indicates that the second number is three times larger than the first number.

Does the ratio indicate the ratio of 1/4 of 100 to 3/4 of 100, or in other words, the ratio of some fractional part
of 100 is to some other fractional part of 100?




No, but the ratio [1/4 of 100]:[3/4 of 100] is still the same ratio because the second number is three times larger than the first number.

A ratio where 1/4th of any positive number (not just 100) is compared to 3/4ths of the same number will simplify to 1:3.

Are you able to explain why you focus on the number 100, when thinking about the ratio 1:3?

----------------
I want to thank you for the reply!

I used 100 because I wanted a simple number to use in my question. I am thinking more about 25:75 more than 1:3. 25:75 just reduced to 1:3. I suppose this ratio can be used with 100. If you have $100.00 to divide into a ratio of 1:3 the amounts would be 1/4 X $100 and 3/4 of $100. Or one could use 25/100 X $100 and 75/100 X $100 to get $25 and $75.

I asked what relationship is shownhere with 25:75 or 1:3 in regards to 100? The relationhip I think is to add 25 and 75 to get 100. 25 is 1/4 of 100 and 75 is 3/4 of 100. 100 is the whole amount in which the ratio 25:75 or 1:3 is determined. There is indeed a relationship here!

 

[mmm4444bot]

There is indeed a relationship [with 100] here!

Okay -- it seems that you are thinking of 100 as in 100%.

Yes, you are correct. If you add 1/4th of a number to 3/4ths of the same number, you will get the whole number (i.e., 100%).

1/4 + 3/4 = 1

And, 1 is the decimal form of 100%.