Question

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need help

(d) William’s wife says the molding for the window will take almost 50% of the total molding they need. William says it is closer to of the molding. Approximately what percent of the total molding will be used for the window and who is closer to the correct answer? Explain your answer.

Answer 1

ok, so the total molding they need is 65 1/8 , and

Answer 2

the amount of molding they need for the window is 25 7/8

Answer 3

Williams says it is closer to ____ of the molding.

It looks like that didn't copy over correctly.

Answer 4

oh sorry i'll add that in

Answer 5

1/3

Answer 6

50% is half of the total amount, we can write this proportion as 1/2.

So we're trying to determine if the amount of framing needed is closer to 1/2 or 1/3 of the total given. Err not framing, molding, whatever :)

Answer 7

So this is a division problem.
You divide the `amount needed` by the `total amount` and that will tell you what proportion of the total you are using.

\(\large\rm 65\frac{1}{8}\div25\frac{7}{8}\)

Answer 8

Woops* I wrote that division backwards >.< my bad

Answer 9

oh ok

Answer 10

We want to divide the amount used by the total,
\(\large\rm 25\frac{7}{8}\div65\frac{1}{8}\)

Answer 11

So maybe we should rewrite these as improper fractions?
Mixed numbers are no fun.

Answer 12

Do you know how to do that? :o

Answer 13

\(\large\rm 25\frac78=\dfrac{?}{8}\)

Answer 14

Yes, they're 521/8 and 207/8, right?

Answer 15

good good good :)

Answer 16

\[\large\rm \frac{207}{8}\div\frac{521}{8}\]Have you ever heard of `Keep Change Flip`?
It's a popular device used to help remind students how to deal with division of fractions.

Answer 17

Yup! I know that. Flip the 2nd fraction and change it to multiplication

Answer 18

Mmm k good good good.

Answer 19

\[\large\rm \frac{207}{8}\div\frac{521}{8}\quad=\frac{207}{8}\times\frac{8}{521}\]

Answer 20

then cross cancel?

Answer 21

Ooo yes, seems like a good idea!

Answer 22

\[\large\rm \frac{207}{521}\]

Answer 23

so turn that into a mixed fraction?

Answer 24

Hmm this is annoying,
this one is going to be right in the middle between 1/3 and 1/2 lol. Will require some extra work to determine which is closer.

Answer 25

We have no `whole portion` in this fraction :)
So no mixed number

Answer 26

So umm

Answer 27

how did you determine whether it's close or not?

Answer 28

I cheated, I used a calculator.

Here is an idea...
This is going to be require some big numbers :)
but...

I guess you could look for a common denominator between these three fractions,\[\large\rm \frac{1}{2}\qquad \qquad\frac{1}{3}\qquad \qquad\frac{207}{521}\]and then simply compare the numerators, see which two are closest together.
Make sense? :o

Answer 29

How did you cheat your way through in finding the solution (using the calculator)

Answer 30

I know that 1/2 = 0.5
and that 1/3 = 0.333

I typed 207/521 into the calculator and got = 0.39731286

Answer 31

oh

Answer 32

so other than that, should I find the common denominator and then compare the numerators to tell whose closer?

Answer 33

521 is a prime number,
so your common denominator would need to be 2x3x521

Answer 34

Ya that might be a fun way to finish it up ^^

Answer 35

so 1/3??

Answer 36

\[\large\rm \frac{1}{2}\qquad \qquad\frac{1}{3}\qquad \qquad\frac{207}{521}\]So your numerators end up being 3*521, 2*521
and we want to know which is closer to 2*3*207.

Yup! Looks like it was the 1/3, ya? \c:/

Answer 37

ok, thank you!