Number Line Position: Finding the Value at 5/6 on a 0-to-1 Scale

Q: How do I know what denominator to use?

Count the total number of equal intervals between 0 and 1. In this problem, there are 6 equal spaces, so all fractions have denominator 6.

Q: Why isn't the answer 5/6 since it's the fifth point?

Be careful with counting! The first point is 0, so the fifth point is actually 4/6, not 5/6. Always start counting from the zero point.

Q: How can I double-check my fraction is in the right position?

Convert to decimals: $ \frac{4}{6} = 0.667 $ and $ \frac{5}{6} = 0.833 $. The missing point is closer to two-thirds of the way from 0 to 1.

Q: Do I need to simplify 4/6?

For number line problems, keep the fraction in the same form as the scale. Since all points use denominator 6, write your answer as $ \frac{4}{6} $.

Fraction Number Lines with Equal Intervals

What number is missing (?) from the number line?

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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

00:10 and each segment equals one-sixth, let's count them

00:19 Let's see which segment is highlighted

00:24 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 number is missing (?) from the number line?

Step-by-step solution

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

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

$\frac{0}{6}$

We will also define 1 as the following fraction:

$\frac{6}{6}$

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

Final Answer

$\frac{4}{6}$

Key Points to Remember

Essential concepts to master this topic

Rule: Count total points to determine the denominator of fractions
Technique: With 7 points total, each step is 1/6: 0/6, 1/6, 2/6, 3/6, 4/6, 5/6, 6/6
Check: Fifth position from 0 equals 5/6, but missing position is fourth = 4/6 ✓

Common Mistakes

Avoid these frequent errors

Counting the missing point as part of the sequence
Don't count the question mark as 5/6 just because it's the fifth position = wrong answer! The question mark represents an unknown value, not the fifth step. Always identify which fraction corresponds to each position by counting from zero.

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 total number of equal intervals between 0 and 1. In this problem, there are 6 equal spaces, so all fractions have denominator 6.

Why isn't the answer 5/6 since it's the fifth point?

Be careful with counting! The first point is 0, so the fifth point is actually 4/6, not 5/6. Always start counting from the zero point.

How can I double-check my fraction is in the right position?

Convert to decimals: $\frac{4}{6} = 0.667$ and $\frac{5}{6} = 0.833$ . The missing point is closer to two-thirds of the way from 0 to 1.

Do I need to simplify 4/6?

For number line problems, keep the fraction in the same form as the scale. Since all points use denominator 6, write your answer as $\frac{4}{6}$ .

What if the number line had different endpoints?

The same method works! Count the intervals, then use the pattern: starting value + (step number × interval size). For 0 to 1 with 6 intervals, each step is $\frac{1}{6}$ .

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