Question

Write 0.42424242... as a ratio of two integers in lowest terms

Answer 1

Could you show us what you've done so far please?

Answer 2

If you haven't done anything, here's a Hint.
Let x=0.42424242...
Find 100x=?

Answer 3

so 42? im just kind of lost

Answer 4

What's
\[100\times 0.4242424242...=?\]

Answer 5

42.4242424242

Answer 6

Correct.

Answer 7

Now to eliminate the repeaters, we subtract 100x with x.
\[100x-x=99x\]
So what would:
\[99x=?\]

Answer 8

41.9998 which would be 42?

Answer 9

Uhmmm, it's just 42. It's not 41.9998. You shouldn't use a calculator if you are using one.

Answer 10

Because both x and 100x have the same repeating units after the decimal place and that makes clear sense when you subtract both of them together, you would end up with a whole number.

Answer 11

Do you understand that?

Answer 12

OOOOO that makes a lot more sence now. Thanks so much

Answer 13

sense*

Answer 14

No worries, now you find what x equals which is what you're supposed to find but in whole numbers.\[99x=42\]
what would:
\[x=?\]

Answer 15

@MrMcNuggets Are you there?

Answer 16

ya just thinking, last statement somewhat confused me again lol, im terrible at math

Answer 17

x=42/99?

Answer 18

Oh okay. At the very start we let x=0.42424242....And the question asked us to make 0.42424242... into a ratio of two whole numbers.

Answer 19

And yes, that's correct!

Answer 20

Now the question wants the fraction in a ratio.

Answer 21

ok! lol, i thought 42/99 was too easy to be the answer

Answer 22

That will be very simple. Just take the two numbers: 42 and 99 and put them together with a colon in between the two numbers.

Answer 23

And just to make sure you understand, 42/99 is not the answer.

Answer 24

42:99 is the complete answer.

Answer 25

42:99

Answer 26

Yep. Fantastic. Well done!

Answer 27

ok gotcha, thank you so much, i understand it better now

Answer 28

take care

Answer 29

No worries mate. Glad I could help. Cy.

Answer 30

Cya*