Locating the Fraction 1/4: Precise Number Identification

Video Solution

Solution Steps

00:00 Find the domain where the number is located

00:03 Draw the number line and mark the given number

00:08 Place every number in the domain with a common denominator (4)

00:15 Narrow down to whole numbers and find the domain

00:19 We can see that the number is found in all these domains

00:23 And this is the solution to the question

Step-by-Step Solution

Let's try to understand what is bigger and what is smaller than the number $\frac{1}{4}$

Since the denominator is 4, both the larger and smaller numbers will have a denominator of 4:

$\frac{?}{4}<\frac{1}{4}<\frac{?}{4}$

Now let's complete the numerators with numbers that will help us reach whole numbers in fractions as follows:

$\frac{0}{4}<-\frac{3}{4}<\frac{4}{4}$

Let's proceed to reduce the fractions as follows:

$\frac{0}{4}=0$

$\frac{4:4}{4:4}=-\frac{1}{1}=1$

This means the fraction is between 0 and 1

But since the consecutive numbers for the fraction's numerator are:

$\frac{0}{4} < \frac{1}{4} < \frac{2}{4}$

$\frac{0}{4} < \frac{1}{4} < \frac{3}{4}$

We can see that all the answers are correct