Number Line Position: Identifying the Value at Point ?

Q: How do I know what denominator to use?

Count the equal spaces between the labeled endpoints (0 and 1). Here there are 6 intervals, so the denominator is 6, making all fractions have 6 in the bottom.

Q: Why isn't the answer 2/7 since there are 7 points?

The number of points doesn't determine the denominator - the number of equal intervals does! Think of it like a ruler: 7 marks create 6 spaces between them.

Q: How do I count the position of the missing point?

Start at 0 and count each interval: first interval = $ \frac{1}{6} $, second interval = $ \frac{2}{6} $. The red question mark is at the second position.

Q: Should I simplify 2/6 to 1/3?

While $ \frac{2}{6} = \frac{1}{3} $ mathematically, keep 2/6 when all answer choices use sixths. This shows you understand the number line's structure.

Fraction Number Lines with Equal Intervals

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

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Find the highlighted number

00:04 It seems the axis is divided into 6 segments

00:08 And each segment equals one-sixth, let's count them

00:16 Let's see which segment is highlighted

00:22 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

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

Step-by-step solution

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

Since there are 6 in total, we'll define the 0 point as the fraction:

$\frac{0}{6}$

We'll also define 1 as the following fraction:

$\frac{6}{6}$

Now let's fill in each point on the sequence to discover which numbers are missing:

Final Answer

$\frac{2}{6}$

Key Points to Remember

Essential concepts to master this topic

Count Intervals: Identify total number of equal spaces between marked points
Create Fractions: Use 6 intervals, so each point represents n/6 where n counts positions
Verify Position: Count from 0 to verify the missing point is at position 2/6 ✓

Common Mistakes

Avoid these frequent errors

Counting points instead of intervals
Don't count the 7 points on the number line to get sevenths! This ignores that intervals create the fractions, not the dots themselves. Always count the spaces between points - there are 6 equal intervals, making sixths.

Practice Quiz

Test your knowledge with interactive questions

Without calculating, determine whether the quotient in the division exercise is less than 1 or not:

$$ 5:6= $$

FAQ

Everything you need to know about this question

How do I know what denominator to use?

Count the equal spaces between the labeled endpoints (0 and 1). Here there are 6 intervals, so the denominator is 6, making all fractions have 6 in the bottom.

Why isn't the answer 2/7 since there are 7 points?

The number of points doesn't determine the denominator - the number of equal intervals does! Think of it like a ruler: 7 marks create 6 spaces between them.

How do I count the position of the missing point?

Start at 0 and count each interval: first interval = $\frac{1}{6}$ , second interval = $\frac{2}{6}$ . The red question mark is at the second position.

Should I simplify 2/6 to 1/3?

While $\frac{2}{6} = \frac{1}{3}$ mathematically, keep 2/6 when all answer choices use sixths. This shows you understand the number line's structure.

What if the number line had different endpoints?

The same method works! Count intervals between any two known values, then use that count as your denominator. The pattern always follows this interval-counting rule.

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