Locating the Fraction 1/4: Precise Number Identification

Question

Identify where14 \frac{1}{4} lies?

Video Solution

Step-by-Step Solution

Let's try to understand what is bigger and what is smaller than the number 14 \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 get to whole numbers in fractions as follows:

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

Let's reduce the fractions as follows:

04=0 \frac{0}{4}=0

4:44:4=11=1 \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

Answer

All answers are correct