Question

Giving MEDAL.
Express 0.64 as a fraction in its lowest terms. Please show how you got the answer.

Answer 1

what decimal place is the 4 in? The tenths place? hundredths? thousandths? or some other decimal place?

Answer 2

hundreths place?

Answer 3

correct, the 6 is in the tenths place

Answer 4

so 0.64 means 64 hundredths

Answer 5

telling us that 0.64 = 64/100

the last step is to reduce that fraction

Answer 6

that's the part i'm having trouble with

Answer 7

Well .64 written as a fraction is 64/100 since there are 2 decimal places it's over a 100. Then you can divide to find the simplest form.
64/100 = 32/50 = 16/25
I divided by 2 each time
So answer is 16/25

Answer 8

what factors do 64 and 100 have in common?

Answer 9

2?

Answer 10

divide each by 2: 64/2 = 32 and 100/2 = 50

so 64/100 = 32/50

Answer 11

can we reduce 32/50 further?

Answer 12

i don't think so

Answer 13

we can actually

Answer 14

how?

Answer 15

32 and 50 have a number in common (that's not 1) as a factor

Answer 16

i don't know what that number is

Answer 17

since we're ignoring 1, how about 2?

Answer 18

32/2 = ??

50/2 = ??

Answer 19

32 divided by 2 is 16...

Answer 20

yep, and 50/2 = ?

Answer 21

25

Answer 22

so 64/100 = 32/50 = 16/25

Answer 23

16 and 25 do not have any common factors between them (other than 1, but we're ignoring this trivial factor), so 16/25 cannot be reduced further

Answer 24

oh, ok. I get it now. Thanks so much!

Answer 25

you're welcome