Choose the Greater Difference of Signed Fractions
Written by Adi Ackerman, Head Teacher
"Choose the Greater Difference of Signed Fractions" is written for 7th Grade (Ages 12-13), and it covers Common Core 7.NS.A.1.C. A 6th grader who is already steady on rational numbers can use it too, and an older student can use it as a short review.


2 pages in this set
7th grade math worksheet: find two differences of signed fractions in each row, such as (-5/12) minus 1/4, and circle the greater. Answer key included. Part of our add and subtract fractions with signs rational numbers collection. Aligned to Common Core standards.
How do I use this worksheet?
Start with Add and Subtract Signed Unlike Fractions, and have students show common denominators in their work. Use the two comparison sheets afterward to check number sense with signs.
What students will practice
- Students will subtract signed fractions, including subtracting negative fractions.
- Students will write each difference in simplest form and show their work.
- Students will circle the greater difference in each row.
Curriculum Links
Common Core State Standards
The Number System · 7th Grade
Standard: Understand subtraction of rational numbers as adding the additive inverse, p - q = p + (-q). Show that the distance between two rational numbers on the number line is the absolute value of their difference, and apply this principle in real-world contexts.
View all 7.NS.A.1.C worksheets →Find this in the curriculum
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FAQ
How do I use this add and subtract fractions with signs worksheet?
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Start with Add and Subtract Signed Unlike Fractions, and have students show common denominators in their work. Use the two comparison sheets afterward to check number sense with signs.
What does this worksheet teach?
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Find two differences of signed fractions in each row, such as (-5/12) minus 1/4, and circle the greater. The directions on the page read: Find both differences and show your work. Write each one in its box in simplest form, then circle the greater difference in each row. An answer key is included.
Can I use this add and subtract fractions with signs worksheet for homeschool or classroom?
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Yes, both. We made it for 7th grade rational numbers, and it works the same at home or at school. At home, a student can work through it alone and then go over it with you, which shows quickly what is solid and what needs another look. In class it works as independent practice, homework or a warm-up, and you can print one copy or a full set.
How do you add fractions with different signs?
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Find a common denominator, then add the numerators using the sign rules for integers. Write the answer in simplest form. Choose the Greater Sum of Signed Fractions has problems such as 2/5 + (-1/3).
How do you subtract a negative fraction?
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Rewrite it as adding the opposite, so subtracting a negative fraction becomes adding a positive one. Choose the Greater Difference of Signed Fractions includes problems with negative fractions on both sides.
When should an answer be a mixed number?
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The sheets ask for a mixed number when the answer is greater than 1 or less than -1, in simplest form. Add and Subtract Signed Unlike Fractions says this in its instructions.
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Worksheet Details
| Grade | 7th Grade |
| Subject | Math |
| Topic | Rational Numbers |
| Standard | 7.NS.A.1.C |
| Pages | 2 pages |
| Difficulty | Medium |
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