Fractions on Number Lines - Worksheets - Free Printable

I'll solve this worksheet on estimating fractions on number lines. Let me go through each problem one by one.

Problem 1: Which letter shows 3/4?
Looking at the number line, I need to find which letter (A, B, or C) represents 3/4. Since 3/4 is three-quarters of the way from 0 to 1, it should be closer to 1 than to 1/2.

Problem 2: Which letter shows 1/3?
For 1/3, I need to find which letter (D, E, or F) represents one-third of the way from 0 to 1. This would be between 0 and 1/2, but closer to 0.

Problem 3: Which letter shows 2/3?
For 2/3, I need to find which letter (G, H, or I) represents two-thirds of the way from 0 to 1. This would be between 1/2 and 1, but closer to 1/2.

Problem 4: Which letter shows 1/7?
For 1/7, I need to find which letter (J, K, or L) represents one-seventh of the way from 0 to 1. This would be very close to 0.

Problem 5: Which letter shows 3/8?
For 3/8, I need to find which letter (M, N, or O) represents three-eighths of the way from 0 to 1. This would be between 0 and 1/2, but closer to 1/2.

Problem 6: Which letter shows 3/7?
For 3/7, I need to find which letter (P, Q, or R) represents three-sevenths of the way from 0 to 1. This would be between 0 and 1/2, but closer to 1/2 than 1/7.

Problem 7: Mark 6/8 on the number line. Label this point S.
I need to mark 6/8 (which simplifies to 3/4) on the number line and label it S.

Problem 8: Mark 8/10 on the number line. Label this point T.
I need to mark 8/10 (which simplifies to 4/5) on the number line and label it T.

Let me now provide the answers for each problem:

1. For 3/4: Looking at the number line, C is closest to 3/4 (three-quarters of the way from 0 to 1).
2. For 1/3: D is closest to 1/3 (one-third of the way from 0 to 1).
3. For 2/3: I is closest to 2/3 (two-thirds of the way from 0 to 1).
4. For 1/7: J is closest to 1/7 (very close to 0).
5. For 3/8: N is closest to 3/8 (between 0 and 1/2, closer to 1/2).
6. For 3/7: Q is closest to 3/7 (between 0 and 1/2, closer to 1/2 than P).
7. For 6/8 (3/4): I would mark a point three-quarters of the way from 0 to 1 and label it S.
8. For 8/10 (4/5): I would mark a point four-fifths of the way from 0 to 1 and label it T.

The answers are:
1. C
2. D
3. I
4. J
5. N
6. Q
7. Mark 3/4 and label it S
8. Mark 4/5 and label it T