aces021 wrote:
I'm still confused....
The main formula that we're using is
Dividend/Divisor = Quotient + Remainder/Divisor OR Dividend = Quotient*Divisor + Remainder
For the first part of the question, we can use the 2nd formula to derive x = Qy+9. I'm ok with this.
For the second part of the question, using the 2nd formula, why don't we get x = 96y+.12 (in the same vein as the first part)? I know it should be .12y, but I don't see how it goes along with the formula, the formula says Remainder, NOT remainder/Divisor. Not to mention, isn't the divisor 100? As in 12/100? Doesn't that make .12y redundant because it's 12/100*100?
The first and the second part of the questions are exactly alike, except the first part is missing the quotient that we end up finding after we do the second part.
Thanks!
Consider this: If 5 is divided by 4, you get quotient 1 and remainder 1
5 = 4*1 + 1
But when you write it in terms of decimals, 5/4 = 1.25
Is the remainder .25 here? No. Then, do you think it is correct to write 5 as 1*y + .25? This is what you have done above.
What is .25? It is the fraction of divisor that is leftover -> 25%. Since the divisor is 4, 25% of it i.e. 1 is leftover. So remainder is 1.
Similarly, when you have 96.12, we can say that 12% of the divisor is leftover.
12% of divisor = 9
Divisor = 75
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