Understanding Fractions — Answer Key
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.
35 is greater than 38 because when two fractions have the same numerator, the one with the smaller denominator has bigger pieces.
2. 210 is equivalent to 1 5 .
Dividing both 2 and 10 by 2 gives 15, so the missing numerator is 1.
3. Comparing 24 and 26, the larger fraction is 24.
24 is larger than 26 because fourths are bigger pieces than sixths, and both fractions take 2 pieces.
4. 48 is equivalent to 1 2 .
Dividing both 4 and 8 by 4 simplifies the fraction to 12, so the missing numerator is 1.
5. When two fractions have the same numerator, the one with the smaller denominator is greater.
A smaller denominator means each piece is bigger, so with the same number of pieces, the fraction with fewer total parts wins.
6. 33 and 66 are both equal to 1 whole.
Both 33 and 66 equal 1 whole because whenever the numerator and denominator are the same number, every part is included.
7. 15 is less than 13 because fifths are smaller parts.
15 is less than 13 because splitting a whole into 5 parts makes each piece smaller than splitting it into only 3 parts.
8. 612 is equivalent to 1 2 .
Dividing both 6 and 12 by 6 gives 12, so the missing denominator is 2.
9. Comparing 46 and 412, the fraction 412 is smaller.
412 is smaller than 46 because twelfths are much tinier pieces than sixths, even though both fractions take 4 pieces.
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
Correct matches: half of a pizza → 12; a quarter of an hour → 14; three thirds of a pie → 33; two out of five apples → 25.