Activities to Teach Students to Convert Between Repeating Decimals and Fractions

When it comes to teaching students about decimals and fractions, you’ll want to focus on understanding how they are related. A key part of this is converting repeating decimals into fractions, and vice versa. Not only is understanding this skill important for mathematical problem-solving, but it also offers a chance to practice critical thinking and problem-solving skills. Here are some effective activities that can help students learn to convert between repeating decimals and fractions.

1. Exploring Place Value Charts

One of the easiest ways to understand decimals and place value is by using a place value chart. Begin by dividing a large piece of chart paper into three columns, with the line on the left denoting the whole number, the center line denoting the decimal point, and the line on the right representing the decimal side. Start by asking students to write numbers in the appropriate column. For example, you could write ‘7’ on the left line, and ask students to fill in the decimal side with various options such as ‘0.7’, ‘0.70’, ‘0.777’, and so on.

2. Using Number Lines

Number lines are another useful visual aid that can help students understand decimals and fractions better. Start by giving students a number line that ranges from 0 to 1, and ask them to mark off intervals that represent different decimal and fractional values. Once they have done this, ask them to create fractions and repeating decimals based on the values they have marked.

3. Decimal Bingo

Making bingo cards is always a great way to engage students, and Decimal Bingo is a great method of teaching students about decimals and fractions in a fun and interactive way. Write a set of decimals and fractions on a sheet of paper, and create a set of Bingo cards. Pass out the cards to the class and call out the decimals and fractions one by one. Students cross out the number if they have it on their card, and the first person to get a line or a full house wins the game. This is a great way to reinforce understanding repeatedly.

4. Calculators

Using a calculator can often be a quick and easy way to check if the students have the correct answer while exercising their skills in working with fractions and decimals. Students can input repeating decimals and fractions on the calculator and watch how the decimal number changes with each different calculation. This also ensures the students have a basic understanding of the concept.

5. Worksheets

A worksheet can help reinforce the skills students obtain in a practical application of the topic. Teachers and students should select a worksheet that has various common conversions between decimals and fractions, some of which include decimal to fraction, decimal to mixed fraction, and fraction to decimal. Providing students with worksheets that come with answers can also help them measure their progress in understanding the fractions and decimals.


It is important to have engaged students when teaching math concepts. To ensure that they are attentive and can digest the content being presented, the process should involve various methods. Students must work hard to obtain a fundamental understanding when converting decimals to fractions, since it is an essential foundation for several more complicated math concepts. Using various teaching methods like worksheets, calculators, games, number lines, and charts do assist in enhancing students’ learning process. Instructors can use these activities to engage students and enhance their comprehension of the subject. 

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