Fractions on a Number Line Worksheets - 15 Worksheets Library - Free Printable

To solve the problem of identifying the missing fractions on the number line, let's analyze each question step by step.

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Question 1:

The number line is divided into 4 equal parts, and the fractions are labeled as \(0\), \(\frac{1}{4}\), \(\frac{2}{4}\), \(\frac{3}{4}\), and \(1\). The cupcake is placed at the third mark from the left.

- The first mark is \(\frac{1}{4}\).
- The second mark is \(\frac{2}{4}\).
- The third mark (where the cupcake is) is \(\frac{3}{4}\).

Thus, the missing fraction is:
\[
\boxed{\frac{3}{4}}
\]

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Question 2:

The number line is divided into 3 equal parts, and the fractions are labeled as \(0\), \(\frac{1}{3}\), \(\frac{2}{3}\), and \(1\). The cupcake is placed at the second mark from the left.

- The first mark is \(\frac{1}{3}\).
- The second mark (where the cupcake is) is \(\frac{2}{3}\).

Thus, the missing fraction is:
\[
\boxed{\frac{2}{3}}
\]

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Question 3:

The number line is divided into 2 equal parts, and the fractions are labeled as \(0\), \(\frac{1}{2}\), and \(1\). The cupcake is placed at the first mark from the left.

- The first mark (where the cupcake is) is \(\frac{1}{2}\).

Thus, the missing fraction is:
\[
\boxed{\frac{1}{2}}
\]

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Question 4:

The number line is divided into 5 equal parts, and the fractions are labeled as \(0\), \(\frac{1}{5}\), \(\frac{2}{5}\), \(\frac{3}{5}\), \(\frac{4}{5}\), and \(1\). The cupcake is placed at the fifth mark from the left.

- The first mark is \(\frac{1}{5}\).
- The second mark is \(\frac{2}{5}\).
- The third mark is \(\frac{3}{5}\).
- The fourth mark is \(\frac{4}{5}\).
- The fifth mark (where the cupcake is) is \(1\).

Thus, the missing fraction is:
\[
\boxed{1}
\]

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Question 5:

The number line is divided into 10 equal parts, and the fractions are labeled as \(0\), \(\frac{1}{10}\), \(\frac{2}{10}\), \(\frac{3}{10}\), \(\frac{4}{10}\), \(\frac{5}{10}\), \(\frac{6}{10}\), \(\frac{7}{10}\), \(\frac{8}{10}\), \(\frac{9}{10}\), and \(1\). The cupcake is placed at the third mark from the left.

- The first mark is \(\frac{1}{10}\).
- The second mark is \(\frac{2}{10}\).
- The third mark (where the cupcake is) is \(\frac{3}{10}\).

Thus, the missing fraction is:
\[
\boxed{\frac{3}{10}}
\]

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Final Answers:

1. \(\boxed{\frac{3}{4}}\)
2. \(\boxed{\frac{2}{3}}\)
3. \(\boxed{\frac{1}{2}}\)
4. \(\boxed{1}\)
5. \(\boxed{\frac{3}{10}}\)

These are the missing fractions for each question. Each solution involves identifying the position of the cupcake on the number line and determining the corresponding fraction based on the divisions of the number line.