Students correct three fraction errors — 2/3 equivalent listed as 4/9, 3/4 compared incorrectly to 2/5, and 6/8 simplified incorrectly to 3/8. Part B has four fill-in-the-blank questions about completing 1/2 = __/6, simplifying 8/12, and finding a common denominator for 3/5 and 1/2. Part C has two short-answer questions about comparing 3/8 to 1/2 and finding an equivalent fraction for 3/5.
Correcting equivalence and simplification errors builds the precision fraction work demands before comparison begins.
Style:
Equivalent Fractions & Comparing
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
A fraction equivalent to 23 is 49.
Rewrite: A fraction equivalent to 23 is 46.
2. Fix the sentence:
34 is less than 25 because 4 is less than 5.
Rewrite: 34 is greater than 25 because 1520 > 820 using a common denominator.
3. Fix the sentence:
68 simplified is 38.
Rewrite: 68 simplified is 34 because you divide both 6 and 8 by 2.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. 12 = 3 6 .
2. 812 in simplest form is 23.
3. To compare 35 and 12, a common denominator you could use is 10.
4. 24 = 1 2 .
Part C: Short Answer
Answer each question in one or two complete sentences.
1. Explain how you can tell whether 38 is greater than or less than 12.
12 equals 48, and since 38 < 48, the fraction 38 is less than 12.
2. How do you find an equivalent fraction for 35?
Multiply both the numerator and denominator by the same number, such as 2, to get 610.
Equivalent Fractions & Comparing
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
A fraction equivalent to 2/3 is 4/9.
Rewrite: A fraction equivalent to 2/3 is 4/6.
2) Fix the sentence:
3/4 is less than 2/5 because 4 is less than 5.
Rewrite: 3/4 is greater than 2/5 because 15/20 > 8/20 using a common denominator.
3) Fix the sentence:
6/8 simplified is 3/8.
Rewrite: 6/8 simplified is 3/4 because you divide both 6 and 8 by 2.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) 1/2 = 3/6.
2) 8/12 in simplest form is 2/3.
3) To compare 3/5 and 1/2, a common denominator you could use is 10.
4) 2/4 = 1/2.
★ Part C: Short Answer
Answer each question in one or two complete sentences.
1) Explain how you can tell whether 3/8 is greater than or less than 1/2.
1/2 equals 4/8, and since 3/8 < 4/8, the fraction 3/8 is less than 1/2.
2) How do you find an equivalent fraction for 3/5?
Multiply both the numerator and denominator by the same number, such as 2, to get 6/10.
Ready to Practice?
Complete each section carefully.
9 Questions
15-20 minutes
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