This is a Grade 3 math worksheet on "Representing a Fraction on a Number Line." The task is to mark each given fraction on its corresponding number line with an "X".
The core concept is that a fraction $\frac{a}{b}$ represents 'a' parts out of 'b' equal parts. On a number line from 0 to 1, this means dividing the segment into 'b' equal parts and then counting 'a' of those parts from 0.
Let's solve each problem step-by-step.
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a. Represent $\frac{2}{5}$
- The denominator is 5, so we need to divide the space between 0 and 1 into 5 equal parts.
- The numerator is 2, so we count 2 parts from 0.
- The correct position is the second tick mark from 0.
b. Represent $\frac{3}{7}$
- The denominator is 7, so we divide the space between 0 and 1 into 7 equal parts.
- The numerator is 3, so we count 3 parts from 0.
- The correct position is the third tick mark from 0.
c. Represent $\frac{5}{9}$
- The denominator is 9, so we divide the space between 0 and 1 into 9 equal parts.
- The numerator is 5, so we count 5 parts from 0.
- The correct position is the fifth tick mark from 0.
d. Represent $\frac{2}{6}$
- The denominator is 6, so we divide the space between 0 and 1 into 6 equal parts.
- The numerator is 2, so we count 2 parts from 0.
- The correct position is the second tick mark from 0.
- Note: $\frac{2}{6}$ can be simplified to $\frac{1}{3}$, which would be the same as the second mark on a 6-part line or the first mark on a 3-part line.
e. Represent $\frac{4}{7}$
- The denominator is 7, so we divide the space between 0 and 1 into 7 equal parts.
- The numerator is 4, so we count 4 parts from 0.
- The correct position is the fourth tick mark from 0.
f. Represent $\frac{1}{9}$
- The denominator is 9, so we divide the space between 0 and 1 into 9 equal parts.
- The numerator is 1, so we count 1 part from 0.
- The correct position is the first tick mark from 0.
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Final Answer
To complete the worksheet, you would place an "X" at the following positions on each number line:
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a. $\frac{2}{5}$: Place an "X" on the
second tick mark from 0.
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b. $\frac{3}{7}$: Place an "X" on the
third tick mark from 0.
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c. $\frac{5}{9}$: Place an "X" on the
fifth tick mark from 0.
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d. $\frac{2}{6}$: Place an "X" on the
second tick mark from 0.
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e. $\frac{4}{7}$: Place an "X" on the
fourth tick mark from 0.
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f. $\frac{1}{9}$: Place an "X" on the
first tick mark from 0.
Parent Tip: Review the logic above to help your child master the concept of fraction number line worksheet grade 3.
