Question

How do you make new fractions that are equivalent to \[\dfrac{6}{{24}}\]?

Answer 1

Hint:we know that fraction is of the form \[\dfrac{a}{b}\] and \[b \ne 0\]. If \[b = 0\] the value becomes undefined that is infinity. Here ‘a’ and ‘b’ are natural numbers. Also ‘a’ is called the numerator term and ‘b’ is called the denominator term. We have different types of fraction. Namely proper fraction, improper fraction, mixed fraction and equivalent fractions (like fractions). Like fractions that are alike or can be simplified to get the same fraction.

Compete step by step solution:
Given, \[\dfrac{6}{{24}}\].
All we need to do is simplify the given fraction.
Now let’s cancel the numerator and the denominator by 3.
Then we have \[\dfrac{2}{8}\].
Thus, \[\dfrac{2}{8}\] is a new fraction equivalent to \[\dfrac{6}{{24}}\].
Again we take \[\dfrac{6}{{24}}\] and now cancel the numerator and denominator by 6.
Then we have \[\dfrac{1}{4}\].
Thus, \[\dfrac{1}{4}\] is a new fraction equivalent to \[\dfrac{6}{{24}}\].
Hence, \[\dfrac{2}{8}\] and \[\dfrac{1}{4}\] is a new fraction equivalent to \[\dfrac{6}{{24}}\].

Note: If we find the value of \[\dfrac{2}{8}\], \[\dfrac{1}{4}\] and \[\dfrac{6}{{24}}\] in decimal form. All the fractions have the same answer. That is 0.25. We need to know the different types of fraction.
Proper fraction: In these fractions, the numerator is lesser in value than the denominator. For example \[\dfrac{3}{4}\].
Improper fraction: In these fractions, the numerator is greater than the denominator. For
example\[\dfrac{4}{3}\].
Mixed fraction: A mixed fraction is obtained by adding a non-zero integer and a proper fraction. For example \[1\dfrac{3}{4}\]. In the problem if then given a mixed fraction we need to convert it into improper fraction then we simplify it.