The number line from 0 to 1 is divided into segments with tick marks. Label each indicated tick mark on the number line as a fraction. Make sure your fractions are in lowest terms
the number line is here
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H ow many marks are there?
including 0 and 1
i think it is 10 25 50 75 100
is that right?
No. You need only one denominator.
What is the denominator of your fraction?
not counting 0, how many marks are there by the time you get to 1?
That is your denominator.
That is how many pieces the interval is divided into.
Thank you for helping i understand it now
To label the tick marks on the number line from 0 to 1 as fractions in lowest terms, we need to divide the interval into equal segments.
Step 1: Determine the number of equal segments.
In this case, we can consider dividing the number line into 10 equal segments since we have tick marks from 0 to 1.
Step 2: Find the fraction for each tick mark.
To find fractions for each tick mark, we divide the distance of each tick mark from 0 by the total distance from 0 to 1.
Let's go through the tick marks one by one:
Tick mark 1/10: This represents the first division. The distance from 0 to the first tick mark is 1/10. So, the fraction is 1/10.
Tick mark 2/10: This represents the second division. The distance from 0 to the second tick mark is 2/10, which can be simplified to 1/5 in lowest terms.
Tick mark 3/10: The distance from 0 to the third tick mark is 3/10. This fraction is already in its lowest terms.
Tick mark 4/10: The fourth tick mark represents 4/10, which can be simplified to 2/5.
Tick mark 5/10: This marks the midpoint of the interval, which is exactly 1/2.
Tick mark 6/10: The fraction 6/10 can be simplified to 3/5.
Tick mark 7/10: The fraction 7/10 is already in lowest terms.
Tick mark 8/10: The fraction 8/10 reduces to 4/5.
Tick mark 9/10: The fraction 9/10 is already in its lowest terms.
Tick mark 10/10: This is the endpoint of the interval, which represents the whole number 1.
Therefore, the tick marks on the number line from 0 to 1, labeled as fractions in lowest terms, are:
0/10, 1/5, 3/10, 2/5, 1/2, 3/5, 7/10, 4/5, 9/10, 10/10 (or 1).
It's important to note that fractions should be simplified to their lowest terms, meaning that the numerator and denominator have no common factors other than 1.