Everyday objects make fractions click here. Third graders correct a flipped fraction (4 shaded out of 7 squares written as 7/4 instead of 4/7), explain why 2/2 of a pie means the whole pie, and fix the stubborn idea that 1/6 is larger than 1/2. Fill-in problems pull the numerator out of 9/12, track 1 piece eaten from a sandwich cut into 4, and finish the rule that the denominator counts equal parts.
True-or-false statements check whether 1/2 and 2/4 name the same amount and confirm that 8/8 equals one whole. Students leave reading fractions the way mathematicians do: as parts, not pairs of numbers.
Style:
Understanding Fractions
Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1. Fix the sentence:
If you shade 4 out of 7 squares, the fraction shaded is 74.
Rewrite: If you shade 4 out of 7 squares, the fraction shaded is 47.
2. Fix the sentence:
22 of a pie means no pie is left.
Rewrite: 22 of a pie means the whole pie.
3. Fix the sentence:
16 is larger than 12 because 6 is more than 2.
Rewrite: 16 is smaller than 12 because sixths are smaller parts than halves.
Part B: Fill in the Blank
Write the missing word or number on each line.
1. In the fraction 912, the numerator is 9.
2. A sandwich cut into 4 equal pieces with 1 piece eaten means 14 is gone.
3. The denominator tells how many equal parts make up the whole.
4. 55 of a bar means the whole bar is shaded.
Part C: True or False?
Read each statement. Circle True or False.
1. 12 and 24 represent the same amount.
True False
2. A fraction must always have a denominator of 10.
True False
3. 88 equals one whole.
True False
Understanding Fractions
★ Part A: Fix the Sentence
Each sentence has an error. Rewrite it correctly on the line.
1) Fix the sentence:
If you shade 4 out of 7 squares, the fraction shaded is 7/4.
Rewrite: If you shade 4 out of 7 squares, the fraction shaded is 4/7.
2) Fix the sentence:
2/2 of a pie means no pie is left.
Rewrite: 2/2 of a pie means the whole pie.
3) Fix the sentence:
1/6 is larger than 1/2 because 6 is more than 2.
Rewrite: 1/6 is smaller than 1/2 because sixths are smaller parts than halves.
★ Part B: Fill in the Blank
Write the missing word or number on each line.
1) In the fraction 9/12, the numerator is 9.
2) A sandwich cut into 4 equal pieces with 1 piece eaten means 1/4 is gone.
3) The denominator tells how many equal parts make up the whole.
4) 5/5 of a bar means the whole bar is shaded.
★ Part C: True or False?
Read each statement. Circle True or False.
1) 1/2 and 2/4 represent the same amount.
True
False
2) A fraction must always have a denominator of 10.
True
False
3) 8/8 equals one whole.
True
False
Ready to Practice?
Complete each section carefully.
10 Questions
15-20 minutes
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