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# Number Theory/Ratio & Fractional Relationship

Question
Hello:

Perhaps you can help define what the following indicates:

"A percent is another way of expressing the ratio or fractional relationship of two numbers."

Let's use the two amounts 10 and 25. Would the following be correct?

40% is another way of expressing the ratio [10 to 25] or fractional relationship [10/25] of two numbers [10 and 25], or is it something else.

Hello Kenneth
I don't entirely agree with the word ratio, but it may be OK.  Usually % is a ratio of a part to a whole.   As in 'over 50% of the worlds population is female'. But we could also say something like 'UK population is less than 10% of the population of China'. This simply states a ratio other than a part to a whole.
So, yes, I can agree with the definition.

Regards

vijilant
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Number Theory

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#### Vijilant

##### Expertise

Most questions on number theory, divisibility, primes, Euclidean algorithm, Fermat`s theorem, Wilson`s theorem, factorisation, euclidean algorithm, diophantine equations, Chinese remainder theorem, group theory, congruences, continued fractions.

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Teacher of math for 53 years

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AQA Doncaster Bridge Club Danum Strings Orchestra Doncaster Conservative Club Danum Strings Orchestra Simply Voices Choir Doncaster TNS mystery shopping St Paul's Music Group Cantley

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Journal of mathematics and its applications M500 magazine

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BSc (Hons) Liverpool (Science). BA (Hons) OU (Mathematics)

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State Scholarship 1955 Highest Score in Yorkshire on OU course MST209 £50 prize First class honours in OU BA Mathematics

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I taught John Birt, former Director of the BBC in 1961. His homework book was the most perfect I have ever marked. And also the most neat. I could tell he was destined for great things. One of my classmates was the poet Roger McGough, and I have a mention in his autobiography.