Where is 3/5 on a number line?
Understand the Problem
The question is asking where the fraction 3/5 is located on a number line. To solve this, we need to understand how to represent fractions on a number line by finding the appropriate position between the whole numbers 0 and 1.
Answer
$ \frac{3}{5} $ is located at the point 0.6 on the number line.
Answer for screen readers
The fraction $ \frac{3}{5} $ is located two-fifths of the way from 0 to 1 on the number line.
Steps to Solve
- Understand the fraction 3/5
The fraction $ \frac{3}{5} $ means that we have divided something into 5 equal parts and we are taking 3 of those parts.
- Determine the position on the number line
To locate $ \frac{3}{5} $ on the number line, recognize that it lies between 0 and 1 because $ \frac{3}{5} $ is less than 1.
- Divide the interval between 0 and 1
We need to divide the space between 0 and 1 into 5 equal sections since the denominator of our fraction is 5.
- Mark the sections on the number line
Each section represents $ \frac{1}{5} $. The points will be at:
- $0$
- $ \frac{1}{5} $
- $ \frac{2}{5} $
- $ \frac{3}{5} $ (this is where we will place our point)
- $ \frac{4}{5} $
- $1$
- Locate 3/5 on the number line
Now, we can see that $ \frac{3}{5} $ is the third mark from 0, so we place a point above the number line at that position.
The fraction $ \frac{3}{5} $ is located two-fifths of the way from 0 to 1 on the number line.
More Information
The position of a fraction on a number line helps in visualizing the relationship between numbers. It also illustrates how fractions can fit within whole numbers.
Tips
- A common mistake is not dividing the number line into the correct number of sections based on the denominator.
- Another mistake is miscounting the fractions when locating them on the number line.
