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Matching fractions to their positions on a number line in a math worksheet.

A math worksheet titled "Understand a Fraction on a Number Line - Matching Worksheet" with seven number lines, each showing a fraction marked with a circle, and corresponding fractions listed on the right for matching.

A math worksheet titled "Understand a Fraction on a Number Line - Matching Worksheet" with seven number lines, each showing a fraction marked with a circle, and corresponding fractions listed on the right for matching.

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Show Answer Key & Explanations Step-by-step solution for: Understand a Fraction on a Number Line Worksheet for 4th - 6th ...
To solve this matching problem, we need to look at each number line and determine what fraction the circled point represents. Then, we match it to the correct fraction in the list on the right.

Step 1: Understand how to read the number lines
Each number line starts at 0 and ends at 1. The space between 0 and 1 is divided into equal parts.
- Count the total number of equal spaces (intervals) between 0 and 1. This number is the denominator (the bottom number of the fraction).
- Count how many tick marks you move from 0 to reach the circled dot. This number is the numerator (the top number of the fraction).

Step 2: Analyze each item

Item 1:
- The line is divided into 7 equal spaces. So, the denominator is 7.
- The circle is on the 3rd mark from 0. So, the numerator is 3.
- Fraction: 3/7
- Match: Look for 3/7 in the options. It matches with option e.

Item 2:
- The line is divided into 7 equal spaces. Denominator is 7.
- The circle is on the 5th mark from 0. Numerator is 5.
- Fraction: 5/7
- Match: Look for 5/7 in the options. It matches with option f.

Item 3:
- The line is divided into 7 equal spaces. Denominator is 7.
- The circle is on the 6th mark from 0. Numerator is 6.
- Fraction: 6/7
- Match: Look for 6/7 in the options. It matches with option g.

Item 4:
- The line is divided into 7 equal spaces. Denominator is 7.
- The circle is on the 4th mark from 0. Numerator is 4.
- Fraction: 4/7
- Match: Look for 4/7 in the options. It matches with option d.

Item 5:
- The line is divided into 7 equal spaces. Denominator is 7.
- The circle is on the 2nd mark from 0. Numerator is 2.
- Fraction: 2/7
- Match: Look for 2/7 in the options. It matches with option c.

Item 6:
- The line is divided into 7 equal spaces. Denominator is 7.
- The circle is on the 1st mark from 0. Numerator is 1.
- Fraction: 1/7
- Match: Look for 1/7 in the options. It matches with option b.

Item 7:
- The line is divided into 8 equal spaces. Denominator is 8.
- The circle is on the 7th mark from 0. Numerator is 7.
- Fraction: 7/8
- Match: Look for 7/8 in the options. It matches with option h.

Item 8:
- The line is divided into 8 equal spaces. Denominator is 8.
- The circle is on the 3rd mark from 0. Numerator is 3.
- Fraction: 3/8
- Match: Look for 3/8 in the options. It matches with option a.

Summary of Matches:
1. 3/7 → e
2. 5/7 → f
3. 6/7 → g
4. 4/7 → d
5. 2/7 → c
6. 1/7 → b
7. 7/8 → h
8. 3/8 → a

Final Answer:
1. e
2. f
3. g
4. d
5. c
6. b
7. h
8. a
Parent Tip: Review the logic above to help your child master the concept of fractions on a number line worksheet free.
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