The denominators of 8 and 4 are not the same. Because the denominator is not the same, it’s not easy to determine the sum. Identifying the least common denominator between the two fractions would help make the interpretation of the addition easier.
With a denominator of 8, the first 5 multiples of 8 are: 8, 16, 24, 32, and 40. With a denominator of 4, the first 5 multiples of 4 are: 4, 8, 12, 16, and 20. When comparing the multiples, the least common denominator is 8.
Each 1/8 counter would be equivalent to 1/8. Each 1/4 counter would be equivalent to 2/8. Now, the problem is 7/8 plus 6/8.
By combining the parts of the fractions (i.e., the purple counters) but continuing to represent a denominator of 8 with groups of 8, 7/8 plus 3/4 would be 13/8. 13/8 is equivalent to 1 and 5/8
So, 7/8 plus 3/4 equals 13/8 or 1 5/8.
Engagement
- Identify two fractions without a common denominator.
- Show each fraction with a set model of fractions.
- Identify the common denominator.
- Add the fractions.
The denominators of 8 and 4 are not the same. Because the denominator is not the same, it’s not easy to determine the sum. Identifying the l
UC SDI Center
Created on February 4, 2026
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Transcript
The denominators of 8 and 4 are not the same. Because the denominator is not the same, it’s not easy to determine the sum. Identifying the least common denominator between the two fractions would help make the interpretation of the addition easier.
With a denominator of 8, the first 5 multiples of 8 are: 8, 16, 24, 32, and 40. With a denominator of 4, the first 5 multiples of 4 are: 4, 8, 12, 16, and 20. When comparing the multiples, the least common denominator is 8. Each 1/8 counter would be equivalent to 1/8. Each 1/4 counter would be equivalent to 2/8. Now, the problem is 7/8 plus 6/8.
By combining the parts of the fractions (i.e., the purple counters) but continuing to represent a denominator of 8 with groups of 8, 7/8 plus 3/4 would be 13/8. 13/8 is equivalent to 1 and 5/8 So, 7/8 plus 3/4 equals 13/8 or 1 5/8.
Engagement