Question

Find a rational number lying between 1/4 and 1/3 is

Answer 1

Rational number lying between $\frac{1}{4}$  and $\frac{1}{3}$ is $\bold{\frac{7}{24}}$ 

Solution:  

The easiest way to find a rational number lying between two rational numbers $\frac{a}{b}$  and $\frac{p}{q}$ is the rational number$\frac{x}{y}$ which is equidistant from both $\frac{a}{b}$  and $\frac{p}{q}$  in the number line.

Here are the following steps needed to compute a rational number lying between two rational numbers $\frac{1}{4}$  and $\frac{1}{3}$.

LCM of 4 and 3 which is 12.

Normalizing the fractions $\frac{1}{4}$  and $\frac{1}{3}$. It becomes $\frac{3}{12}$  and $\frac{4}{12}$

Midpoint of $\frac{3}{12}$  and $\frac{3}{12}$ =$\frac{\frac{3}{12}+\frac{4}{12}}{2}$

Midpoint = $\bold{\frac{7}{24}}$    

Answer 2

Answer:

$A \: rational \: number \\ between \: \frac{1}{4}\: and \:\frac{1}{3}=\frac{7}{24}$

Step-by-step explanation:

$we \:know\: that ,\\A\:rational \:number \: between\\a \:and \: b \: is \: \frac{a+b}{2}.$

$Here ,\\a = \frac{1}{4}\: and \: b = \frac{1}{3}\\</p><p>Now,\\</p><p>A \: rational \: number \\ between \: \frac{1}{4}\: and \:\frac{1}{3}=\frac{\frac{1}{4}+\frac{1}{3}}{2}\\=\frac{\frac{3+4}{12}}{2}\\=\frac{\frac{7}{12}}{2}\\=\frac{7}{12}\times \frac{1}{2}\\=\frac{7}{24}$

Therefore,.

$A \: rational \: number \\ between \: \frac{1}{4}\: and \:\frac{1}{3}=\frac{7}{24}$

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