Question

How do you make an improper fraction for $8\dfrac{6}{8}$ ?

Answer 1

Hint: Improper fraction is a type of fraction where the numerator is bigger than the denominator. In order to solve the sum, we need to first multiply the whole number $8$ with the denominator and add the numerator to the answer. By doing so, we get our new numerator, and we place the old denominator to get a new improper fraction. We solve it further to get our required answer.

Complete step-by-step solution:
In the question, the given fraction is $8\dfrac{6}{8}$ , which is a type of a mixed fraction.
Here the number $8$ which is beside the fraction is known as the ‘Whole Number’. The whole number part and the fraction part together is known as the mixed fraction.
Now, according to given, we have to change this mixed fraction into an improper fraction. An improper fraction is a fraction where the numerator is greater than the denominator. In order to do so, we first multiply the whole number part with the denominator of the fraction:
Whole number part: $8$
Denominator: $8$
Multiplying denominator with the whole number, we get: $8 \times 8 = 64$
Now, we need to add the numerator to our above answer to get our required numerator for our improper fraction.
Thus, $64 + 6 = 70$
So, our new numerator for the improper fraction is: $70$
The denominator remains the same, hence the new improper fraction = $\dfrac{{70}}{8}$
Solving it further, we get: \[\dfrac{{{{70}}}}{{{8}}} = \dfrac{{35}}{4}\]

Our required improper fractions is $\dfrac{{35}}{4}$

Note: In simple words, fraction represents equal parts of a whole or a collection. A fraction is denoted as so: $\dfrac{{{\text{numerator}}}}{{{\text{denominator}}}}$ .There are four types of fractions:
Unit fractions – here the numerator is always 1 .
Proper fractions- here the numerator is smaller than the denominator.
Mixed fractions- a whole number part is present along with a proper fraction part.
Improper fractions- here the numerator is greater than the denominator.