Generally, students begin learning about fractions in grade school. Introduction to fractions usually begin around the fourth grade, as students learn how to add and subtract them. One valuable asset to have when completing fraction operations is to know fraction equivalents. Students who are quickly able to find a common denominator in the fraction can easily add or subtract the numbers. Developing a fraction equivalence chart is an effective learning tool and also proves to be a valuable reference for beginning students.

- Construction paper
- Ruler
- Pen
The numerator of each fraction should always be equal to the column in which the fraction is written.

Focus on fractions that will typically be used. Making a large chart can be beneficial for upper classes, but for those just learning fractions, a simple chart will be easier to understand.

Draw a 10-by-10 grid on the paper using your pen and ruler to make boxes of equal length and draw straight lines. A 10-by-10 grid covers fractions up to 1/10th and 10/100ths. The numbers on your chart can be as little or as high as you want.

Write the numbers 1/1, 1/2, 1/3 and so on until 1/10 in the grid's first column. If your grid is bigger, continuing writing numbers with one in the numerator position and the row number in the denominator position.

Multiply the numerator and denominator of the fraction in the first column by two to fill in the second column. For example, 1/1 x 2/2 = 2/2. 1/2 x 2/2 = 2/4. 1/3 x 2/2 = 2/6. Continue until the column is full.

Multiply the numerator and denominator in the first column by the column number. For example, in column four of 1/7, multiply 1/7 x 4 to get 4/28. All of the numbers in each row should be equivalent.

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References

Tips

- The numerator of each fraction should always be equal to the column in which the fraction is written.
- Focus on fractions that will typically be used. Making a large chart can be beneficial for upper classes, but for those just learning fractions, a simple chart will be easier to understand.

About the Author

Based in California, Scott Levin has served as a writer and copy editor since 2000. His articles have appeared in the "Chico News & Review," "Wildcat Illustrated," the "Chico Enterprise-Record" and on websites such as The Sports Informant. Levin earned his Bachelor of Arts in journalism from California State University, Chico.

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