Question

name five fractions that are near but not equivalent to 4/12

Answer 1

near is pretty subjective :)
But let's start with the easy ones.
\[\Large \frac{5}{12},\quad \frac{3}{12}\]Those are relatively close to 4/12, yes?

Answer 2

like that it not equivalent to 4/12 but near to it

Answer 3

zepredix ok that is tat is the first step so what do next

Answer 4

Do you understand how \(\Large \dfrac{8}{24}\) is equivalent to \(\Large \dfrac{4}{12}\) ?

I multiplied the top and bottom by 2, so it's still `equivalent`.
We want to use a big denominator like this, so we can take smaller pieces out of our 4/12.

Answer 5

i get that but wht fractions r near but not equivalent to 4/12 and i need 5 please help me

Answer 6

Like maybe you'll notice that 3/12 is off from 4/12 by 1/12.
That's kind of a lot.

If instead we took 1 away from our 8/24, giving us 7/24,
we're now only 1/24 away from 4/12, a bit closer!

Answer 7

ok

Answer 8

So we can't use 8/24 because it is equivalent.
But just add and subtract 1 from the numerator, that should give you a couple numbers close to 4/12

Answer 9

continue the lesson

Answer 10

So we need a 5th? Hmm

Answer 11

yes

Answer 12

are u a teacher

Answer 13

and if u r not what grade r u in

Answer 14

We can take our 4/12 and multiply the top and bottom by 4,\[\Large \frac{16}{48}\]This again is equivalent to 4/12, so we can't use it.
We'll have to use numbers close to it.

A teacher? :) hah, no.
I do some tutoring though.

Answer 15

I'm in my 3rd year of college :o

Answer 16

cool so i get that part and what do u want to be later on in life and you r smart and what college do u go to i

Answer 17

I'm not sure yet :) still trying to figure that out.
I want to make stuff. Lots of stuff. Invent stuff:
Design computer hardware and peripherals, cars, airplanes, furniture.. I dunno stuff.

Gotta spend some more time in school before I know for sure though.

Answer 18

me too

Answer 19

i want to be a architectural engineering

Answer 20

ooo neato :D

Answer 21

lol so lets get back to the problem

Answer 22

so where were we at

Answer 23

\[\Large \frac{8}{24} \text{ and }\frac{16}{48}\text{ are equivalent to }\frac{4}{12}\]

Answer 24

So we want to use these new fractions, and add or subtract 1 from the numerator to get something very close to our equivalence.

Answer 25

yeh so we cant use it

Answer 26

ok continue

Answer 27

So what is a number close to 16/48?

Answer 28

ummmmm i 1/3 because i simplify the number is it correct

Answer 29

No we don't want to simplify the number silly :o
That will just give us another number that is equivalent to 4/12.

We want to adjust the numerator.

So how about 17/48?
That's pretty close to 16/48, right?

Answer 30

oooooooooooooooooooooookkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkkk i get it and 17/48 is pretty close to 16/48

Answer 31

and 15/48 is also close.

Answer 32

So I think that gives us 6 numbers to work with.

Answer 33

yep

Answer 34

ok

Answer 35

Oh also,
\(\Large \color{royalblue}{\text{Welcome to OpenStudy! :)}}\)

Answer 36

thanks

Answer 37

so where were we at. so what r the numbers that are near but not equivalent to 4/12

Answer 38

hello

Answer 39

\( \dfrac{4}{12} = \dfrac{8}{24} = \dfrac{12}{36} = \dfrac{16}{48} = \dfrac{20}{60} = \dfrac{24}{72}\)

\(\dfrac{4}{12} \approx \dfrac{8}{25} \)

\(\dfrac{4}{12} \approx \dfrac{12}{37} \)

\(\dfrac{4}{12} \approx \dfrac{16}{49} \)

\(\dfrac{4}{12} \approx \dfrac{20}{61} \)

\(\dfrac{4}{12} \approx \dfrac{24}{73} \)