Understanding Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 25 is less than 45 because both have the same denominator.
With the same denominator, the fraction with the smaller numerator is less. 25 < 45.
2. When fractions have the same denominator, the one with the bigger numerator is greater.
With the same denominator, compare numerators — the larger numerator means the larger fraction.
3. 38 is greater than 18 on a number line.
With the same denominator (8), 38 > 18 because 3 > 1.
4. On a number line from 0 to 1 split into 4 parts, 34 is at the third mark.
34 is located at the third mark when the number line is divided into 4 equal parts.
5. 16 is less than 56.
With the same denominator (6), 16 < 56 because 1 < 5.
6. The fraction 12 is exactly halfway between 0 and 1.
12 is the midpoint between 0 and 1 on a number line.
7. 710 is closer to 1 than to 0 on a number line.
710 is closer to 1 because 710 is more than 12.
8. Comparing 27 and 67, the larger fraction is 67.
With the same denominator (7), 67 > 27 because 6 > 2.
9. 49 is less than 89 because 4 < 8.
With the same denominator (9), 49 < 89 because 4 < 8.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
14
→ one out of four
same as 24
34
→ three out of four
three out of four
12
→ same as 24
one out of four
24
→ half of a whole
half of a whole
Each fraction matches its meaning: 14 means one out of four equal parts, 34 means three out of four equal parts, 12 is the same as 24 because both show one half, and 24 also represents half of a whole.