Question

Write any four rational numbers larger than 0 and smaller than \[\dfrac{5}{6}\].

Answer 1

Hint: We write the general form of a rational number and choose the denominator equal to the denominator of the given fraction. Write numerator smaller than the numerator of the given
fraction. Write four different numerators with the same denominator as that of the given fraction.
* A rational number is a number that can be represented in the form of \[\dfrac{p}{q}\] where ‘p’ is the numerator and ‘q’ is the denominator.

Complete step-by-step answer:
We have to write four rational numbers between 0 and \[\dfrac{5}{6}\].
We write denominator as 6 and numerator less than the number i.e. 5.
Then four fractions formed that are larger than 0 and smaller than \[\dfrac{5}{6}\]
are \[\dfrac{1}{6};\dfrac{2}{6};\dfrac{3}{6};\dfrac{4}{6}\]

\[\therefore \]Four fractions that are larger than 0 and smaller than \[\dfrac{5}{6}\]
are \[\dfrac{1}{6};\dfrac{2}{6};\dfrac{3}{6};\dfrac{4}{6}\]

Note: Students might get confused and try to form fractions with different denominators as 6 and will get confused while comparing if that fraction is greater than 0 and less than \[\dfrac{5}{6}\].
Alternate Method:
We can find four rational numbers between 0 and \[\dfrac{5}{6}\] using a number line.
Looking at the denominator of each fraction we can tell that the number of parts in which each part
of the number line between two integers is divided. Here the number in the denominator is 6. So, between every integer there are six parts. Since the fraction has to be greater than 0 and less than \[\dfrac{5}{6}\], we will divide the number line between 0 and 1 into 6 parts and write them in terms of fractions.

Number line shows fractions between 0 and\[\dfrac{5}{6}\].
\[\therefore \]Four fractions that are larger than 0 and smaller than\[\dfrac{5}{6}\]
are\[\dfrac{1}{6};\dfrac{2}{6};\dfrac{3}{6};\dfrac{4}{6}\]