Question

Which mixed number falls between 4 3/8 and 5 5/12 ?
A) 4 1/4
B) 5 2/3
C) 4 1/2
D) 5 5/6

Answer 1

The easiest way to do this is to turn all of the fractions into decimals and just put them on a number line

Answer 2

Ok thanks im gonna do that now

Answer 3

i got D is that right?

Answer 4

It's not D

Answer 5

There's a much easier way to do these without a number line

Answer 6

im super confused...

Answer 7

I understand. You need someone to explain it you.

Answer 8

Basically, there's a simple method for this, which only necessitates paying attention to the fractions.

Answer 9

There are basically three types of fractions:

Fractions that are either zero or close to zero
Fractions that are either half or close to half
Fractions that are either one or close to one

Obviously 0 < 1/2 < 1

Answer 10

If you have something like 1/3 , 1/4 , 1/5 those are close to zero

Answer 11

If you have something like 4/5, 5/6, 7/8, those are close to one

Answer 12

If you have something like 3/8, 4/10, 5/12, those are close to half

Answer 13

obviously, the fractions that are close to zero will be less than those that are close to half, which in turn, are less than those close to one.

Answer 14

In the case of your problem above we have 4 3/8 and 5 5/12

Answer 15

Therefore, we are only interested in numbers that are greater than 4 3/8
but less than 5 5/12

Answer 16

For the first possibility, 4 1/4...

1/4 is close to zero because

if you wrote out the fractions in order:

0/4, 1/4, 2/4, 3/4....

0/4 = 0
and 1/4 is obviously close to that, but

3/8 is close to half since 4/8 = 1/2

Answer 17

If you wrote out the eighths in order you would have

0/8, 1/8, 2/8, `3/8, 4/8`, 5/8, 6/8, 7/8, 8/8

Answer 18

If 1/4 is close to zero and 3/8 is close to 1/2, then 1/4 must be less than 3/8

Answer 19

Therefore, we can conclude that 4 1/4 is not greater than 4 3/8...so that is not a possible choice.

Answer 20

im still here lol just busy taking a test