Fractions on a Number Line — Answer Key
Part A: Fill in the Blank
Write the missing word or number on each line.
1. In Grade 3, a number line from 0 to 1 with 3 equal parts has unit fraction 1/3.
Three equal parts make thirds, so the unit fraction is 1/3 in Grade 3.
2. In Grade 3, on a sixths number line, a fraction equivalent to 1/3 is 2/6.
2/6 reduces to 1/3, so they land at the same point on a Grade 3 number line.
3. In Grade 3, a number line with 8 equal parts from 0 to 1 has 1/8 as its unit fraction.
Eight equal partitions of 0 to 1 create eighths, so the unit fraction is 1/8 in Grade 3.
4. In Grade 3, on a fourths line, a fraction equivalent to 1 is 4/4.
4/4 uses all four parts of the whole, which equals 1 on a number line in Grade 3.
5. In Grade 3, on a sixths line, the fraction 3/6 is the same point as 1/2.
3/6 equals 1/2, and both mark the midpoint between 0 and 1 in Grade 3.
6. In Grade 3, to plot 3/5 on an unmarked line, first split 0 to 1 into 5 equal parts.
The denominator 5 tells us to partition the whole into fifths for plotting 3/5 in Grade 3.
7. In Grade 3, the fraction at the third tick after 0 on a sixths line is 3/6.
The third tick on a sixths line is 3/6, which also equals 1/2 in Grade 3.
8. In Grade 3, on an eighths line, a fraction equivalent to 1/4 is 2/8.
2/8 reduces to 1/4, so they land at the same point on the Grade 3 number line.
9. In Grade 3, the fraction at the second tick after 0 on a thirds line is 2/3.
Two jumps of 1/3 from 0 land on 2/3, the second tick on a thirds line in Grade 3.
Part B: Matching
Match each item on the left to the correct answer on the right.
1. Match each item to its correct answer.
Equivalent to 1/2 on a sixths line
→ 3/6
3/6
Equivalent to 1/4 on an eighths line
→ 2/8
2/8
Equivalent to 1/3 on a sixths line
→ 2/6
2/6
Equivalent to 1 on a fourths line
→ 4/4
4/4
In Grade 3, 3/6 equals 1/2, 2/8 equals 1/4, 2/6 equals 1/3, and 4/4 equals 1 on the number line.