Comparing Fractions — Answer Key
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
In Grade 3, 2/5 are less than 1/2 because two fifths is smaller than half.
Corrected: In Grade 3, 2/5 is less than 1/2 because two fifths is smaller than half.
The fraction 2/5 is one value in Grade 3, so it takes the singular verb is.
2. Fix the sentence:
Grade 3 teachers says 5/6 is greater than 1/2 because almost whole.
Corrected: Grade 3 teachers say 5/6 is greater than 1/2 because almost whole.
Teachers is plural, so Grade 3 sentences use the verb say without the s ending.
3. Fix the sentence:
In Grade 3, 3/8 compare to half using a benchmark and are less than 1/2.
Corrected: In Grade 3, 3/8 compares to half using a benchmark and is less than 1/2.
Grade 3 writing treats 3/8 as one fraction, so both verbs must be singular.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, 2/5 is less than 1/2 because 2 is less than half of 5.
Grade 3 rule: if numerator is under half the denominator, the fraction is less.
2. Grade 3 benchmark: 5/6 is greater than 1/2 since 5 is more than half of 6.
Half of 6 is 3, and 5 is larger, so in Grade 3 5/6 is greater than one half.
3. In Grade 3, 3/8 is less than 1/2 because 3 is less than half of 8, which is 4.
Grade 3 benchmark check: 3 under 4 means 3/8 sits below one half.
4. Grade 3 learners see that 4/8 is equal to 1/2 since 4 is exactly half of 8.
When numerator is half of denominator in Grade 3, the fraction equals one half.
Part C: True or False?
Read each statement. Circle True or False.
1. In Grade 3, 2/5 is less than 1/2 because 2 is below half of 5.
True False
Grade 3 benchmark rule confirms 2 is below 2.5, so 2/5 is less than half.
2. Grade 3 fact: 5/6 is less than 1/2 because fractions with big denominators are small.
True False
In Grade 3, 5 is more than half of 6, so 5/6 is greater than 1/2, making this false.
3. In Grade 3, 4/8 is equal to 1/2 because 4 is exactly half of the denominator 8.
True False
Grade 3 benchmark: numerator equal to half the denominator equals one half exactly.