Question

How do you write the fraction $ \dfrac{7}{{21}} $ in the simplest form ?

Answer 1

Hint: In order to determine the simplest form of the above question ,write the numerator and denominator in the form of their factors and try to cancel out factors from numerator and denominator ,you’ll get your required result.

Complete step-by-step answer:
Given a rational number $ \dfrac{7}{{21}} $
To Convert this into its simplest form , factorise the numerator as well as denominator .
Since numerator is prime number so there is no factor ,but denominator can be written as
 $ 7 \times 3 $
Rewriting the fraction into their factors form as
 $ = \dfrac{{7 \times 1}}{{7 \times 3}} $
Cancelling out $ 7 $ as it is coming in numerator and denominator.
 $
   = \dfrac{{{7} \times 1}}{{{7} \times 3}} \\
   = \dfrac{1}{3} \;
  $
Therefore , $ \dfrac{7}{{21}} $ in simplest form is $ = \dfrac{1}{3} $ .
So, the correct answer is “ $ = \dfrac{1}{3} $ ”.

Note: Fractions represent equal parts of a whole or a collection. Fraction of a whole: When we divide a whole into equal parts, each part is a fraction of the whole. For example, Fraction of a collection: Fractions also represent parts of a set or collection