Same-numerator comparisons and equivalence rules get a workout. Third graders explain why 3/5 beats 3/8 (fifths are bigger pieces than eighths), reduce 2/10 to 1/5 and 4/8 to 1/2, and pick the larger fraction between 2/4 and 2/6. They confirm 3/3 and 6/6 both equal one whole, then compare 4/6 with 4/12 to find the smaller one.
A matching section links phrases like half of a pizza, a quarter of an hour, three thirds of a pie, and two out of five apples to 1/2, 1/4, 3/3, and 2/5. Words and symbols start meaning the same thing.
Style:
Understanding Fractions
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 35 is greater than 38 because fifths are larger parts than eighths.
2. 210 is equivalent to 1 5 .
3. Comparing 24 and 26, the larger fraction is 24.
4. 48 is equivalent to 1 2 .
5. When two fractions have the same numerator, the one with the smaller denominator is greater.
6. 33 and 66 are both equal to 1 whole.
7. 15 is less than 13 because fifths are smaller parts.
8. 612 is equivalent to 1 2 .
9. Comparing 46 and 412, the fraction 412 is smaller.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
half of a pizza
→ 12
25
a quarter of an hour
→ 14
14
three thirds of a pie
→ 33
33
two out of five apples
→ 25
12
Understanding Fractions
★ Part A: Fill in the Blank
Write the missing word or number on each line.
1) 3/5 is greater than 3/8 because fifths are larger parts than eighths.
2) 2/10 is equivalent to 1/5.
3) Comparing 2/4 and 2/6, the larger fraction is 2/4.
4) 4/8 is equivalent to 1/2.
5) When two fractions have the same numerator, the one with the smaller denominator is greater.
6) 3/3 and 6/6 are both equal to 1 whole.
7) 1/5 is less than 1/3 because fifths are smaller parts.
8) 6/12 is equivalent to 1/2.
9) Comparing 4/6 and 4/12, the fraction 4/12 is smaller.
★ Part B: Matching
Match each item on the left to the correct answer on the right.
1) Match each item to its correct answer.
half of a pizza
→ 1/2
2/5
a quarter of an hour
→ 1/4
1/4
three thirds of a pie
→ 3/3
3/3
two out of five apples
→ 2/5
1/2
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