Rational numbers: find a rational number 31/10 and 16/5
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mmm4444bot
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Re: Rational numbers
Of course, I'm just guessing, but I'm changing your teacher's problem.
Find a rational number between 31/10 and 16/5.
(If you are in a calculus class, then you should be able to easily convert 16/5 to 32/10.)
One number between 31/10 and 32/10 is the number that appears midway between them on the number line. There are different ways to determine this number.
Or, you could skip all that, and just say 31/10 + 1/100.
Cheers,
~ Mark
dell said:
Of course, I'm just guessing, but I'm changing your teacher's problem.
Find a rational number between 31/10 and 16/5.
(If you are in a calculus class, then you should be able to easily convert 16/5 to 32/10.)
One number between 31/10 and 32/10 is the number that appears midway between them on the number line. There are different ways to determine this number.
Or, you could skip all that, and just say 31/10 + 1/100.
Cheers,
~ Mark
Hello, dell!
There are dozens of ways to find an answer . . . Here's one using baby-talk.
\(\displaystyle \text{Let's see ... we want a number between }\,3 + \frac{1}{10}\,\text{ and }\,3 + \frac{1}{5}\)
\(\displaystyle \text{Se we want a fraction between }\frac{1}{10}\text{ and }\frac{1}{5} \quad\hdots\quad\text{ between }\frac{1}{10}\text{ and }\frac{2}{10}\)
\(\displaystyle \text{What number is between }{\bf one}\text{-tenth and }{\bf two}\text{-tenths?}\)
. . \(\displaystyle \text{How about }{\bf one\text{-}and\text{-}a\text{-}half}\text{ tenths?}\)
\(\displaystyle \text{So, we have: }\;\frac{1\frac{1}{2}}{10} \:=\:\frac{\frac{3}{2}}{10} + \frac{3}{20}\quad\hdots\:\text{ There!}\)
\(\displaystyle \text{Therefore, one possible answer is: }\;3 + \frac{3}{20} \;=\;\boxed{\frac{63}{20}}\)
There are dozens of ways to find an answer . . . Here's one using baby-talk.
\(\displaystyle \text{Let's see ... we want a number between }\,3 + \frac{1}{10}\,\text{ and }\,3 + \frac{1}{5}\)
\(\displaystyle \text{Se we want a fraction between }\frac{1}{10}\text{ and }\frac{1}{5} \quad\hdots\quad\text{ between }\frac{1}{10}\text{ and }\frac{2}{10}\)
\(\displaystyle \text{What number is between }{\bf one}\text{-tenth and }{\bf two}\text{-tenths?}\)
. . \(\displaystyle \text{How about }{\bf one\text{-}and\text{-}a\text{-}half}\text{ tenths?}\)
\(\displaystyle \text{So, we have: }\;\frac{1\frac{1}{2}}{10} \:=\:\frac{\frac{3}{2}}{10} + \frac{3}{20}\quad\hdots\:\text{ There!}\)
\(\displaystyle \text{Therefore, one possible answer is: }\;3 + \frac{3}{20} \;=\;\boxed{\frac{63}{20}}\)
MathHelpPlease
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To make everything "easy", you could convert everything to decimals.
For example, 31/10 would be 3 1/10 or 3.1
And, 16/5 would be 3 1/5 or 3.2
What's between 3.1 and 3.2? Well, how about 3.15?
So, that would be 3 and 15/100 which simplifies to 3 and 3/20
For example, 31/10 would be 3 1/10 or 3.1
And, 16/5 would be 3 1/5 or 3.2
What's between 3.1 and 3.2? Well, how about 3.15?
So, that would be 3 and 15/100 which simplifies to 3 and 3/20