Question

Find.a rational number between 1/3 and 2/7

Answer 1

$\bf \red{ \underline{ \underline{solution}}}$

$= \frac{1}{2} ( \frac{1}{3} + \frac{2}{7} )$

$= \frac{1}{2} ( \frac{7 + 6}{21} )$

$= \frac{1}{2} \times \frac{13}{21}$

$= \blue{ \frac{13}{42} }$

• Rational number: A number which can be represented in form of p/q , where p and q are integers and q is not equal to 0.
• Irrational number: A number which cannot written as p/q form where q is not equal to 0. It can't be expressed as terminating or repeating decimal.
• Terminating number: Decimals which end with finite decimal part are called terminating decimals.
• Non- terminating number:Decimal numbers having an infinite number of decimal places are known as Non-terminating number.

Answer 2

Step-by-step explanation:

To find a rational number between

$\dfrac{1}{3}$ and $\dfrac{2}{7}$

Taking the L. C. M of the denominator

L. C. M of 3 and 7 is 21

=> $\dfrac{1}{3} = \dfrac{1 \times 7}{3 \times 7} = \dfrac{7}{21}$

=> $\dfrac{2}{7} = \dfrac{2 \times 3}{7 \times 3} = \dfrac{6}{21}$

Multiplying each fraction by 2

=> $\dfrac{7 \times 2}{21 \times 2} = \dfrac{14}{42}$

=> $\dfrac{6 \times 2}{21 \times 2} = \dfrac{12}{42}$

A rational no. between $\dfrac{12}{42}$ and $\dfrac{14}{42}$ is $\dfrac{13}{42}$

Rational number :

The numbers which can be expressed in the form of $\dfrac{p}{q}$ where " p " and " q " are integers and q ≠ 0

It is represented by " Q "

Irrational number :

The numbers which can't be expressed in the form of $\dfrac{p}{q}$ where " p " and " q " are integers and q ≠ 0

It is represented by " S "