pdf Matching Repeating Decimals With Equivalent Fractions

This engaging matching activity reinforces the connection between fractions and their equivalent repeating decimals. Students convert fractions such as \( \frac{1}{3} \), \( \frac{5}{9} \), \( \frac{2}{11} \), and \( \frac{1}{12} \) into recurring decimal form, then match each fraction to its correct decimal representation. As students draw lines to connect each pair, they intersect letters and numbers that decode a hidden riddle, adding an element of motivation and problem-solving to the practice.

The worksheet includes a variety of recurring patterns such as \(0.3333\ldots\), \(0.1818\ldots\), \(0.4166\ldots\), and \(0.8383\ldots\). This range of examples helps students recognize both single-digit repeating patterns and multi-digit repeating sequences. By comparing decimal expansions carefully, students strengthen long division skills and deepen their conceptual understanding that rational numbers produce terminating or repeating decimals.

Because the format combines academic rigor with a puzzle-based reveal, this resource works well as independent practice, partner work, math centers, enrichment, or review before a rational numbers assessment. The built-in riddle provides immediate feedback and encourages accuracy.

Skills Assessed

• Converting fractions to repeating decimals

• Identifying recurring decimal patterns

• Strengthening long division fluency

• Connecting fractional and decimal representations

• Reinforcing understanding of rational numbers

Details

• 2 pages

• Answer key included

ID# 0653