Question

How do you change \[7\dfrac{3}{7}\] into an improper fraction?

Answer 1

Hint: Here, in this question we can say that the form is called a mixed fraction. First, we have to identify the whole number. Then we can multiply the denominator with the whole number, and we can add the resulting answer with the numerator. The value which we got after adding the numerator will be written as the numerator now and the denominator will be as it is.

Complete step by step solution:
First, we need to identify the whole number part from the question. So, here we can see that the number which is not a part of the fraction is the whole number. So, \[7\] is the whole number from the given mixed fraction. Now, after identifying the whole number, we need to multiply the whole number with the given fraction’s denominator. Here the fraction’s denominator is \[7\]. Then we get:
\[ \Rightarrow 7 \times 7 = 49\]
Now, we have to add the resulting answer that is \[49\] with the fraction’s numerator, and we will get:
\[ \Rightarrow 49 + 3 = 52\]
Now, we have to put this resulting answer which is \[52\] on the denominator. We do not have to change anything with the denominator. When we rewrite the mixed fraction into an improper fraction then we get:
\[7\dfrac{3}{7} = \dfrac{{52}}{7}\]

So, the resulting answer is \[\dfrac{{52}}{7}\].

Note: We need to remember that we only have to change the numerator part. We do not have to change anything in the denominator. We have to just multiply the denominator part with the whole part. Always multiply and add the numbers correctly and represent the improper function in the correct form.