Question

Write the following rational numbers as ratios of integers. -5.0828282 and 7.421421421

Answer 1

the .421 is 421/999

Answer 2

Isn't there more to it or is that just the first step?

Answer 3

1000(-5.08282...) = -5082.8282...
- 10(-5.08282...) = -50.8282...
------------------------------
1090=-5082-50

then divide of the left side

Answer 4

990, forgot how to subtract

Answer 5

this is a simple way to do it without having to resot to mathematical induction

Answer 6

spose you get:

.abcabcabc

then there are 3 numbers repeating; put the repeaters over 3 9s

abc/999

Answer 7

wait where is 990 supposed to go? And what is final answer to -5.08282?

Answer 8

rename: A=-5.08282...


1000 A = -5082.8282...
- 10 A = -50.8282...
------------------------------
990 A= -5082-50
A= -5132/990

Answer 9

so A = A

-5.08282.... = -5132/990

Answer 10

reduce as needed

Answer 11

alright i will reduce and thanks... what about the other problem or was that the final answer at the top?

Answer 12

the final answer up top; just dont forget to add back in the 7

7+ 421/999

and reduce ;)

Answer 13

wait so reduce and add 7 to the numerator or denominator or both haha

Answer 14

its just a 7, nothing special about it.

7 + fraction

Answer 15

and i need to recheck my calculations on the other one prolly

Answer 16

alright haha can i put it in the calculator and also how do i show my work for this problem?

Answer 17

depends on what level your spose to know; if this is for mathematical induction proofs, then youll have to go another route, otherwise id just do as i did

Answer 18

the -5 is throwing me off i think; lets avoid it and go for the deci instead

A = .08282

1000A = 82.8282
- 10A = .8282
----------------
990A = 82

A = 82/990 let me see what the wolf makes of that

Answer 19

http://www.wolframalpha.com/input/?i=-5-82%2F990

much better

Answer 20

-(5+frac) so include back in the number part

Answer 21

wait now i am confused more

Answer 22

tell me where you got lost :)

Answer 23

on both answers haha i thought i had the 1st one right then you said you might have got it wrong.

Answer 24

the first one was good; it was the last one that the negative part was messing with me.

7 + frac = 7 + 421/999

-(5 + frac) = -(5 + 82/990 )

Answer 25

alright so for the first one i got 7414/999 cause the fraction is added by 7 is that correct?

Answer 26

yep that ones good

Answer 27

Ok so the answer is 7141/999 and that can't be reduced... i am just making sure.

Answer 28

sorry meant 7414/999