Fraction Test Fraction Estimation and Rounding 1 — Questions and Answers
Question 1: Which is the best estimate for 4/9 + 3/7?
- About 1 (Correct answer)
- About 1/2
- About 1 1/2
- About 2
Correct answer: About 1
4/9 ≈ 1/2 and 3/7 ≈ 1/2, so the sum is approximately 1.
Question 2: Is 7/8 closer to 0, 1/2, or 1?
- 1 (Correct answer)
- 1/2
- 0
- It is exactly between 1/2 and 1
Correct answer: 1
7/8 = 0.875, which is much closer to 1 than to 1/2.
Question 3: Estimate: 11/12 − 1/9 ≈ ?
- About 3/4 (Correct answer)
- About 1/2
- About 1
- About 1/4
Correct answer: About 3/4
11/12 ≈ 1 and 1/9 ≈ 0, so the difference is approximately 1; closest reasonable estimate is about 3/4 to 1.
Question 4: A recipe uses about 5/8 cup of milk. You estimate you'll need about how much for 4 batches?
- About 2 1/2 cups (Correct answer)
- About 2 cups
- About 3 cups
- About 4 cups
Correct answer: About 2 1/2 cups
5/8 ≈ 1/2; 4 × 1/2 = 2, so a close estimate is 2 1/2 cups.
Question 5: Which fraction is approximately equal to 0.33?
- 1/3 (Correct answer)
- 1/4
- 1/5
- 2/5
Correct answer: 1/3
1/3 ≈ 0.333, which is the closest to 0.33.
Question 6: A student estimates 9/10 + 1/11 ≈ 1. Is this a reasonable estimate?
- Yes, because 9/10 ≈ 1 and 1/11 ≈ 0 (Correct answer)
- No, because the sum is much larger
- No, because the sum is much smaller
- Only if the fractions have the same denominator
Correct answer: Yes, because 9/10 ≈ 1 and 1/11 ≈ 0
9/10 is very close to 1 and 1/11 is close to 0, making 1 a reasonable estimate.
Fraction Test Fraction Estimation and Rounding 1
Which is the best estimate for 4/9 + 3/7?