Question

he boards that are stacked in the garage are each 0.0625 meters wide.
So each board is ____________________ of a meter wide.

A. \frac{1}{16}
B. \frac{625}{100}
C. \frac{1}{36}
D. \frac{1}{625}

Answer 1

@Nnesha

Answer 2

can you name the places after the decimal?

Answer 3

what place is the 5 in?

Answer 4

Have you considered performing the division and checking it out?

B: 625/100 = 6.25 -- Nope, that's nowhere near 0.0625

Answer 5

Sorry bacl

Answer 6

I don't quite understand

Answer 7

Anyone...?

Answer 8

http://www.wolframalpha.com/input/?i=.0625

Answer 9

\[.0625=\frac{625}{10000}\] which by some miracle reduces to \(\frac{1}{16}\)

Answer 10

Do you know the place names? ex. ones place, tens, tenths, etc

Answer 11

So A?

Answer 12

1/36 according to your calculator, is 0.027777 -- Nope. That's not 0.0625

Answer 13

And yea I do

Answer 14

^Wut

Answer 15

well, if you know that, then you can create a fraction

Answer 16

so what place is the 5 in?

Answer 17

Thousandsths. WOuldn't that be 625/1000 than?

Answer 18

I don't think it is in the thousandths

Answer 19

count again

Answer 20

O fail

Answer 21

but if it was, then yes, it would be over 1000

Answer 22

Ten Thousandths

Answer 23

so which place is it, and what is the fraction then?

Answer 24

625/10000

Answer 25

there we go

Answer 26

now, what number do you know will divide both the top and the bottom evenly?

Answer 27

so that you can reduce it

Answer 28

I don't know. I know how to do the problem. But I don't know the number

Answer 29

well, what number will always divide a number that ends in 5 or 0?

Answer 30

10? 1? 2.5?

Answer 31

well, ten won't divide 5 right?

Answer 32

1 yes, but that doesn't get us anywhere

Answer 33

and 2.5 isn't a whole number

Answer 34

if I asked you what the multiples of 5 are, can you please tell me them?

Answer 35

I know them. but what exactly are you asking for? it's a long list of 5s

Answer 36

just give me some, in order

Answer 37

5 10 15 20 25 30 35 40 45 50 55 60. (Hoping that was what you were askinjg for)

Answer 38

that's fine, now what do you notice about the last digit?

Answer 39

it's a 0

Answer 40

or a 5 lol

Answer 41

there we go, so now, what number do you now will divide both the top and bottom of \[\frac{625}{10000}\] in order to reduce the fraction?

Answer 42

25 or 50?

Answer 43

make it easier

Answer 44

pick a number you know will always divide the two

Answer 45

25

Answer 46

hint, why would I have made you list those multiples

Answer 47

I am so dumb right now. Sorry

Answer 48

it's ok, we all have our moments, although 25 does work, I really want you to see a way to reduce this when a big number doesn't pop out at you

Answer 49

625 and 10000 can both be divided by 25

Answer 50

unless 5 is the answer

Answer 51

well, 5 is what I was looking for

Answer 52

XD

Answer 53

so if you do that division, what do you get?

Answer 54

then we continue the simplifying game

Answer 55

125/2000 I HATE SIMPLYIFIYING and I am very bad at it

Answer 56

ok, now what number will divide both 125 and 2000?

Answer 57

do i continue to divide by 5?

Answer 58

yep, and what do you get

Answer 59

1/16? unless I did something wrong

Answer 60

^Prob did something wrong

Answer 61

well, interestingly enough, it simplifies to 25/400 then 5/80 then . 1/16

Answer 62

all by using 5's to make it smaller

Answer 63

so, just remember, when simplifying, use small numbers. You may have a few more steps, but it is a lot easier. Most numbers will be divisible by 2,3,5,7,11 and that will be mostly all you'll need

Answer 64

Can you help me with more other questions? I think I have about an hour left X:

Answer 65

ok

Answer 66

make a new post, and I'll see what I can do

Answer 67

ok thankjs!