Fractions on a Number Line — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. Grade 3: on one line split into halves and another split into fourths, 1/2 equals 2/4.
The halfway point is 1/2 on halves and 2/4 on fourths; same point, equivalent fractions.
2. Grade 3: on a line of sixths, the point matching 1/2 on halves is 3/6.
Three sixths lie between 0 and the midpoint, so 3/6 equals 1/2 on the number line.
3. Grade 3: 2/4 and 4/8 share the same point on a number line from 0 to 1.
Equivalent fractions sit on the same point of the number line even with different denominators.
4. Grade 3: the fraction equal to 1/4 on a line split into eighths is 2/8.
One fourth of the whole equals two eighths, placing 1/4 and 2/8 at the same point.
5. Grade 3: 3/6 is equivalent to 1/2 when simplified on a halves number line.
Three of six equal parts is the midpoint, which labels as 1/2 on halves.
6. Grade 3: 4/8 and 1/2 are called equivalent fractions because they share a point.
Fractions that name the same point on a number line are equivalent fractions.
7. Grade 3: on a line of fourths, the point 2/4 is halfway between 0 and 1.
Two fourths is half of four fourths, so 2/4 sits halfway between 0 and 1.
8. Grade 3: 1/2 on halves lines up with 4/8 on an eighths line.
Four eighths cover the same distance as one half, so they mark the same point.
9. Grade 3: the unit fraction used on an eighths line is 1/8.
Each tick on the eighths line is 1/8 long, the unit fraction for that partition.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Grade 3: 1/2 equals which fraction on fourths?
→ 2/4
3/6
Grade 3: 1/2 equals which fraction on sixths?
→ 3/6
2/8
Grade 3: 1/4 equals which fraction on eighths?
→ 2/8
2/6
Grade 3: 1/3 equals which fraction on sixths?
→ 2/6
2/4
Equivalent fractions on different partition lines share one point on the number line.