Which of the following is a rational number between 1-4 nbsp-and 1-3-2-3-1-6-1-2-7-24-

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Standard IX

Mathematics

Natural Numbers

Which of the ...

Question

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ ?

$\frac{1}{6}$

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$\frac{1}{2}$

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$\frac{7}{24}$

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$\frac{2}{3}$

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Solution

The correct option is C
$\frac{7}{24}$

As we know that between any two numbers there are infinite number of rational numbers. A rational number between $p$ and $q$ is $\frac{p + q}{2}$ .
Thus, a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ :
$\Rightarrow \frac{\frac{1}{4} + \frac{1}{3}}{2} \Rightarrow \frac{\frac{7}{12}}{2} \Rightarrow \frac{7}{24}$ .

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Similar questions

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ ?

Insert a rational number between the following.

1. 2 and 3

2. 0 and 0.1

3. 1/3 and 1/2

4. -2/5 and 1/2

5. 0.15 and 0.16

6. Root 2 que Root 3.

Q. Let a sample space be

S = {ω_{1}, ω_{2}, . . ., ω_{6}}

.Which of the following assignments of probabilities to each outcome are valid

?

Outcomes	$ω_{1}$	$ω_{2}$	$ω_{3}$	$ω_{4}$	$ω_{5}$	$ω_{6}$
$(a)$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$
$(b)$	$1$	$0$	$0$	$0$	$0$	$0$
$(c)$	$\frac{1}{8}$	$\frac{2}{3}$	$\frac{1}{3}$	$\frac{1}{3}$	$- \frac{1}{4}$	$- \frac{1}{3}$
$(d)$	$\frac{1}{12}$	$\frac{1}{12}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{1}{6}$	$\frac{3}{2}$
$(e)$	$0.1$	$0.2$	$0.3$	$0.4$	$0.5$	$0.6$

(a) Find wether the following numbers are equal or greater or less than $\frac{19}{26}$ . The numbers are $\frac{247}{338}$ , $\frac{19}{21}$ and $\frac{26}{32}$ .

(b) Find a rational number which lies between $\frac{1}{2}$ and $\frac{1}{4}$ .
[3 MARKS]

The rational number which is not lying between $\frac{5}{16}$ and $\frac{1}{2}$ is
$(a) \frac{3}{8}$

$(b) \frac{7}{16}$

$(c) \frac{1}{4}$

$(d) \frac{13}{32}$

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Which of the following is a rational number between 14 and 13?

The correct option is C 724 As we know that between any two numbers there are infinite number of rational numbers. A rational number between p and q is p+q2. Thus, a rational number between 14 and 13: ⇒14+132⇒7122⇒724.

Which of the following is a rational number between $\frac{1}{4}$ and $\frac{1}{3}$ ?