Question

Solve this (1/4 - 7/8) / (-2 3/16). Explain how to work it

Answer 1

im confused by the way this is written, is the bottom a mixed number? or is it -23/16? :o

Answer 2

No its a mixed number

Answer 3

-2 & 3/16

Answer 4

ok ok first deal with the mixed number, noone likes those things.. get rid of it!! :U

Answer 5

Ok i got -29/16

Answer 6

Is that correct?

Answer 7

sorry im alil rusty on mixed numbers. had to look it up a quick sec.
When you see something like -2&3/16, the negative is being applied to the entire quantity.
so it's -2 and -3/16.

Answer 8

so -2 is -32/16 with another -3/16 would be -35/16, yes? =D

Answer 9

Yes i got that

Answer 10

:)

Answer 11

did you simpify the top yet? c:

Answer 12

I got -5/8, not sure if that's correct

Answer 13

I'm assuming it's this based on what you posted.

\[\frac{\left(\frac{1}{4} - \frac{7}{8}\right)}{-2\frac{3}{16}}\]

Answer 14

Yes that's the sum

Answer 15

Okay, well rewrite it like this:
\[\frac{1}{4} - \frac{7}{8} \div -2\frac{3}{16}\]

Answer 16

yes -5/8 on top :) sounds good

Answer 17

\[-\frac{5}{8} \div -2\frac{3}{16}\]

Answer 18

Now what do we do?

Answer 19

Change the mixed fraction to an improper fraction

Answer 20

We got -35/16

Answer 21

\[-\frac{5}{8} \div -\frac{35}{16}\]

Now what?

Answer 22

Would you like a hint?

Answer 23

Yes plz

Answer 24

Does the word reciprocal ring a bell?

Answer 25

Im thinking we have to do the reciprocal & multiply

Answer 26

Lol yea

Answer 27

\[-\frac{5}{8} \times -\frac{16}{35}\]

Now what do we do?

Answer 28

Im getting 2/7

Answer 29

That was easy, wasn't it?

Answer 30

So thats it?

Answer 31

You can divide 2/7, but then you would no longer have an exact value. We started with fractions, so we should end with a fraction. Once you have reduced a fraction problem to its simplest form, you're pretty much done. So yeah, "That's it". :)

Answer 32

Yay!!! Thanks guys :-D

Answer 33

You didn't admit that it was easy

Answer 34

Yes it was

Answer 35

I know it was. You did all the work.

Answer 36

:-)

Answer 37

Yes it was

Answer 38

Yay!!! Thanks guys :-D

Answer 39

So thats it?

Answer 40

Im getting 2/7