Question

Write the repeating decimal, 753.753753 . . . , as the ratio of two integers in lowest terms.

Answer 1

Let it be x.

Answer 2

Find 1000x.

Answer 3

here is what i did

x=753.753753
1000x=753753.753
then by subtracting
999x=752999.9992
so x=753.753753
this is what I got

but it is not included in the choices , here they are
A) 753,000/999
B) 753,000/99
C) 753,753/333
D) 251,000/999
E) 251,000/333

any help?

Answer 4

You forgot to write ellipsis

Answer 5

Which mean a lot

Answer 6

x=753.753753......
1000x=753753.753753......

Answer 7

oh ok so I take it from here and solve

Answer 8

Yep

Answer 9

got it so it will be 753000/999 A

Answer 10

Very close :)

Answer 11

thank you :)

Answer 12

But nope that's not the answer

Answer 13

really , not A?

Answer 14

You overlooked three words

Answer 15

where did i go wrong?

Answer 16

"in lowest terms"

Answer 17

what does it mean then ?

Answer 18

It means simplify :)

Answer 19

so the greatest common factor of 3

so it will be 251000/333 E

Answer 20

Perfect

Answer 21

thanks for helping :)

Answer 22

no problem :)