Question

the rational number 1/4 lies between...
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Answer 1

Answer:

0 and 1

$0 < \frac{1}{4} < 1$

Step-by-step explanation:

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Answer 2

Answer:

Only the rational number -1/5 lies between -1/4 and 1/4.

First we have to check all the numbers whether they lie between -1/4 and 1/4.

First we check the two numbers -1/5 and -2/5 because they have the same denominator.

Now we have to find a number or a multiple of 5 and 4 that are the same.

The closest multiple is 20, because 4*5 and 5*4 is 20.

So now we multiply a number with the denominator to make it 20 and we multiply the same number with the numerator.

-1/4 * 5/5 = -5/20 and 1/4 * 5/5 = 5/20

And,

-1/5 * 4/4 = -4/20 and -2/5 * 4/4 = -8/20

Now we see that the number -4/20 lies between the numbers -5/20 and 5/20.

So now we know that -1/5 lies between -1/4 and 1/4 but -2/5 does not lie between them.

Now we repeat the same procedure with the next two numbers, and the closest for them is 12.

After multiplying them to 12 we get,

-3/12 and 3/12