Question

insert four rational number between 2/5 and 1/4


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Answer 1

Step-by-step explanation:

There’s more than just 5 of them. A rational number is simply one which can be expressed exactly by the number system. E.g. 11/40 is still rational. It’s also larger than 1/4 and smaller than 2/5. As is 101/400, or 10001/40000, etc. etc. etc.

However, I think you mean rationals with only one digit for the numerator and the divisor. In that case the answer is:

2/7, 1/3, 2/6, 3/9, 3/8, and if allowed to be equal to one of the samples then 2/8 as well.

Note that the numbers 1/3 = 2/6 = 3/9 … effectively those three are the exact same number. So strictly speaking they should only count as one.

If you change the rule to “only allow two digits total in the number”. Then you can add the value 0.3 (i.e. 3/10) as a decimal point notation fraction as well.

Answer 2

Answer:

3/20 ,4/20, 5/20, 6/20

Step-by-step explanation:

$\bf{ \blue{ \underline{ quesion \: : - }}}$

insert four rational number between 2/5 and 1/4

$\star{ \bf{ \pink {\underline{ \underline{ solution}} \: : - }}}$

$\bold{ \frac{2}{5}} \: \: \bold{ \frac{1}{4}}$

$\bold{ \implies{ \frac{2 \times 4}{5 \times 4} = \frac{8}{20}}}$

Again,

$\bold{ \implies{ \frac{1 \times 2 }{4 \times 5} = \frac{2}{20}}}$

So,

There Are ,four rational number between 2/5 and 1/4

1. $\frac{3}{20}$
2. $\frac{4}{20}$
3. $\frac{5}{20}$
4. $\frac{6}{20}$

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