Students fix three sentences that get equivalence wrong — multiplying only the numerator of 5/6 to get 15/6, claiming 4/7 is greater than 5/7, and simplifying 9/15 to 3/3 by using two different divisors. Then they fill in blanks like 2/5 = __/15, write 12/18 in simplest form, and pick a common denominator for 2/3 and 3/5.
Two short-answer prompts ask why 3/4 and 6/8 are equivalent and whether 5/12 is greater or less than 1/2. Catching these specific slip-ups now gives fourth graders the precision they need before comparing trickier pairs.
Style:
Equivalent Fractions & Comparing
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
To find an equivalent fraction for 56, multiply only the numerator by 3 to get 156.
Rewrite: To find an equivalent fraction for 56, multiply both the numerator and denominator by 3 to get 1518.
2. Fix the sentence:
47 is greater than 57 because 4 comes before 5.
Rewrite: 47 is less than 57 because 4 sevenths is fewer than 5 sevenths.
3. Fix the sentence:
915 simplified is 33 because you divide 9 by 3 and 15 by 5.
Rewrite: 915 simplified is 35 because you divide both 9 and 15 by 3.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 25 = 6 15 .
2. 1218 in simplest form is 23.
3. To compare 23 and 35, a common denominator you could use is 15.
4. 48 = 1 2 .
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain why 34 and 68 are equivalent fractions.
If you multiply 34 by 22, you get 68. Since you multiplied both the numerator and denominator by the same number, the value stays the same.
2. Is 512 greater than or less than 12? How do you know?
512 is less than 12 because 12 equals 612, and 512 is less than 612.
Equivalent Fractions & Comparing
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
To find an equivalent fraction for 5/6, multiply only the numerator by 3 to get 15/6.
Rewrite: To find an equivalent fraction for 5/6, multiply both the numerator and denominator by 3 to get 15/18.
2) Fix the sentence:
4/7 is greater than 5/7 because 4 comes before 5.
Rewrite: 4/7 is less than 5/7 because 4 sevenths is fewer than 5 sevenths.
3) Fix the sentence:
9/15 simplified is 3/3 because you divide 9 by 3 and 15 by 5.
Rewrite: 9/15 simplified is 3/5 because you divide both 9 and 15 by 3.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) 2/5 = 6/15.
2) 12/18 in simplest form is 2/3.
3) To compare 2/3 and 3/5, a common denominator you could use is 15.
4) 4/8 = 1/2.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Explain why 3/4 and 6/8 are equivalent fractions.
If you multiply 3/4 by 2/2, you get 6/8. Since you multiplied both the numerator and denominator by the same number, the value stays the same.
2) Is 5/12 greater than or less than 1/2? How do you know?
5/12 is less than 1/2 because 1/2 equals 6/12, and 5/12 is less than 6/12.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
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