Match Equivalent Decimals and Fractions

Focus: Decimals as Fractions. Use the worked example and teaching sequence below to explain the reasoning before independent practice.

Use New Numbers to make another set. Choose Worksheet or Answer Key, then use the worksheet’s Print button.

Teaching Notes

Focus: Decimals as Fractions. Use the worked example and teaching sequence below to explain the reasoning before independent practice.

Before You Begin

Know powers of 10.

Teaching Steps for Parents and Teachers

Use decimal place value to write a fraction.
Use denominator 10, 100, or 1,000 as appropriate.
Simplify, or create an equivalent fraction with a power-of-ten denominator to convert back.
For a matching problem, solve each item before drawing its connection. Check that the connected representations have equal values.

Worked Examples

Write 0.25 as a fraction in simplest form.

0.25 = 25/100.
Divide numerator and denominator by 25.

Answer: 1/4

Common Mistakes and How to Help

The denominator depends on the last decimal place, not the number of nonzero digits.

Does 1/4 = 25/100?

Questions to Check Understanding

Does 1/4 = 25/100?
Which step explains your answer?
Can you apply the same reasoning when the numbers change?

Practice Advice

Work through the example together. Ask the learner to explain the first two problems, then try three independently. Review the first incorrect step before assigning more practice.

Next Practice

Use New Numbers to practice the same skill with different values.
If the learner needs help, return to the example and model each step before trying again.