Number Line Analysis: Finding the Value at 3/4 Position

Q: How do I know what denominator to use?

Count the equal intervals (spaces) between 0 and 1, not the points! If there are 4 equal spaces, your denominator is 4.

Q: Why isn't the answer just 0.75?

Both $ \frac{3}{4} $ and 0.75 are correct! The question asks for the fraction form, which shows the exact relationship to the equal divisions on the number line.

Q: What if I can't see the divisions clearly?

Look for the evenly spaced points between 0 and 1. Count them carefully - there should be the same distance between each consecutive pair of points.

Fraction Number Lines with Equal Divisions

What number is missing (?) on the number line below?

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:04 Let's find the highlighted number.

00:09 It looks like the axis is divided into four equal parts.

00:16 Each part is a quarter. Let's count them together.

00:27 Now, let's see which part is highlighted.

00:32 And that's the solution to our question!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

What number is missing (?) on the number line below?

Step-by-step solution

Let's first count how many points, including the number 1, there are on the number line.

Since there are 4 in total, we'll define the 0 point as the following fraction:

$\frac{0}{4}$

We can also define 1 as follows:

$\frac{4}{4}$

Finally, we can fill in each point on the number line to work out which number is represented by the question mark:

Final Answer

$\frac{3}{4}$

Key Points to Remember

Essential concepts to master this topic

Equal Divisions: Count total intervals to find the denominator
Technique: Position 3 means $\frac{3}{4}$ when 4 equal parts exist
Check: Verify that $\frac{3}{4}$ is three-fourths from 0 to 1 ✓

Common Mistakes

Avoid these frequent errors

Counting points instead of intervals
Don't count the 5 points (including 0 and 1) to get denominator 5 = wrong fraction! Points mark divisions, but intervals show the actual parts. Always count the spaces between points to find how many equal parts exist.

Practice Quiz

Test your knowledge with interactive questions

What number is marked on the number axis?

FAQ

Everything you need to know about this question

How do I know what denominator to use?

Count the equal intervals (spaces) between 0 and 1, not the points! If there are 4 equal spaces, your denominator is 4.

What if the missing point isn't exactly in the middle?

That's okay! Count how many intervals the point is from 0. If it's the third interval out of 4 total, the answer is $\frac{3}{4}$ .

Can the answer be greater than 1?

Not in this problem since the missing point is between 0 and 1. But on longer number lines, you could have fractions like $\frac{5}{4}$ or $\frac{3}{2}$ .

Why isn't the answer just 0.75?

Both $\frac{3}{4}$ and 0.75 are correct! The question asks for the fraction form, which shows the exact relationship to the equal divisions on the number line.

What if I can't see the divisions clearly?

Look for the evenly spaced points between 0 and 1. Count them carefully - there should be the same distance between each consecutive pair of points.

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