Understanding Fractions — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. 36 is equivalent to 1 2 .
36 equals 12 because dividing both 3 and 6 by 3 gives 12, so the missing numerator is 1.
2. On a number line split into 6 equal parts, 56 is greater than 26.
56 is greater than 26 because both fractions have the same denominator, and 5 parts is more than 2 parts.
3. 18 is closer to 0 than to 1 on a number line.
18 is only one small part out of eight, so it sits very close to 0 and far away from 1 on a number line.
4. From least to greatest: 14, 34, 24. The correct order is 14, 24, 34.
24 goes in the middle because 14 is the smallest, 24 is the next largest, and 34 is the biggest when all denominators are 4.
5. 58 is greater than 38 because 5 is more than 3.
58 is greater than 38 because when two fractions share the same denominator, the one with the bigger numerator is larger.
6. A fraction equal to one whole always has the same numerator and denominator.
A fraction equals one whole when the numerator matches the denominator, like 44 or 66, because all parts are included.
7. On a number line from 0 to 1 split into 3 parts, 13 is at the first mark.
13 is at the first mark because splitting 0 to 1 into 3 equal parts creates marks at 13, 23, and 33, so the first mark is 13.
8. Comparing 410 and 710, the smaller fraction is 410.
410 is smaller than 710 because both fractions have the same denominator, and 4 parts is fewer than 7 parts.
9. 66 is at the same point as 1 on a number line.
66 equals 1 because when the numerator and denominator are the same, the fraction equals one whole, landing right at the 1 mark.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
04
→ zero
one whole
24
→ one half
zero
44
→ one whole
three fourths
34
→ three fourths
one half
Correct matches: 04 → zero; 24 → one half; 44 → one whole; 34 → three fourths.