Question

2. Consider the numbers and .
a. Compare the numbers.
b. Find a rational number between the two given numbers.

Answer 1

PLease help. How do I show my work with this problem on a computer?

Answer 2

Problem is incomplete. There was probably some information provided before this problem and you need to include that.

Answer 3

Oh opps yeah I thought it copied,
Consider the numbers 4/13 and 3/10.

Answer 4

oops*

Answer 5

SO how do you solve it?

Answer 6

4/13 and 3/10
a. Compare the numbers:
To compare the numbers make the denominator the same. The least common denominator is 130.
\(\Large \frac{4}{13} = \frac{4}{13} * \frac{10}{10} = \frac{40}{130} \)
\(\Large \frac{3}{10} = \frac{3}{10} * \frac{13}{13} = \frac{39}{130} \)
\(\Large \frac{40}{130} \gt \frac{39}{130} \)
\(\Large \frac{4}{13} \gt \frac{3}{10} \)

Answer 7

whoa, thanks aum :)

Answer 8

b. Find a rational number between 4/13 and 3/10
In part a) we got 4/13 = 40/130 and 3/10 = 39/130
We need to find a rational number between 39/130 and 40/130
Multiply the top and bottom of both fractions by 2
39/130 = 78/260
40/130 = 80/260

We need a number between 78/260 and 80/260. We can choose 79/260.

So 79/260 is a rational number between 4/13 and 3/10.

Answer 9

Thanks a lot. Saved me :P

Answer 10

You are welcome.

Answer 11

:)