Question

if you divide a number by a fraction less than 1, is the result larger or smaller than the original number? Explain.

Answer 1

Answer:

Question:

if you divide a number by a fraction less than 1, is the result larger or smaller than the original number? Explain.

Concept:

We will solve the question using an example below

Let us consider the number which is the numerator as(original number)

$n=4$

Let us consider a fraction less than 1 below as

$f=\frac{1}{4}$

Then we will divide the number by a fraction less than 1,

$\frac{n}{f}$

By substituting the values , we will have

$\begin{gathered} \frac{n}{f} \\ =\frac{4}{\frac{1}{4}} \\ by\text{ applying the relation below, we will have} \\ a\div\frac{1}{b}=a\times\frac{b}{1}=ab \\ \frac{4}{\frac{1}{4}}=4\div\frac{1}{4}=4\times\frac{4}{1}=16 \end{gathered}$

Hence,

If you divide a number by a fraction less than 1, is the result LARGER THAN THE ORIGINAL NUMBER