Comparing numbers practice

Compare fractions and decimals

Compare a displayed fraction with a finite decimal, preserving exact values even when the fraction has a recurring decimal expansion.

Ready-made English PDF · fixed settings

Worksheet · Letter Worksheet · A4

Customize worksheet ↓

With answer key

With answer key · Letter With answer key · A4

Customization below makes a separate PDF.

$First page of the compare fractions and decimals printable worksheet$ Open full-size sample (first page)

Fixed English ready-made files. Custom settings below apply only to the configured PDF.

Ready to print

Start with a ready-made worksheet

Keep the fraction exact. Convert the displayed decimal to a fraction or use another exact comparison, then write <, > or = between the two values.

Download the practice pages alone, or include a separate answer key or teacher model. Longer activities may use more than one page.

US Letter

Student worksheet Worksheet with answers

A4

Student worksheet Worksheet with answers

Customize this worksheet

Paper sizes and printing help · More comparing numbers activities

Learning objective

What this activity builds

Compare values across fraction and decimal notation without turning a rounded approximation into an equality.

Worked example

Which sign belongs in 2/3 __ 0.667?

2/3 < 0.667.

The displayed decimal is exactly 667/1000. Compare cross-products: 2 × 1000 = 2000 and 667 × 3 = 2001. Since 2000 is smaller, 2/3 is slightly less than 0.667; rounding 2/3 to three places would hide that difference.

Teaching notes

Make the practice count

Begin with terminating equivalents such as 1/2 = 0.5 before introducing recurring fractions.
Ask whether a decimal is the exact printed operand or an approximation the learner has calculated.
The base denominators are 2, 3 and 4; optional larger denominators and negative signs extend the prerequisite knowledge. This is not an introductory Kindergarten counting task.

Make it yours

Customize the practice

Choose your options, update the preview, then download the exact same pages.

Enlarged pages scroll. PDF size stays the same.

A useful next step

Related activities

$Printable comparing fractions worksheet preview$

Comparing numbers

Comparing fractions

Print a 20-question comparing fractions worksheet with exact <, > and = problems. Choose positive, mixed-sign or negative values and optional denominators through 12.

Preview and download