Page 19Let Us Do
Question 1: In groups of 3 or 4, find different ways of making a whole with different fraction pieces from your kit. Write the equivalent fractions for the following that you may find in the process.
Answer:
Examples of equivalent fractions are:
Question 2: Find the following using your kit. You can also shade and check by shading the following. The first one is partially done for you.
A. How many 16
s make 1
3?
Answer: The shaded part is 1
3. Identify16 in the same whole and find how many 16s fit into1
3? (Answer: Two 16s make 13
).
B. How many 1/8s make (a) 1/4? (b) 1/2?
a)
b)
Answer: (a) Two 1/8s make 1/4. (b) Four 1/8s make 1/2.
C. How many 1/12s make (a) 1/2 (b) 1/3 (c) 1/4 (d) 1/6?
Answer: (a) Six 1/12s make 1/2. (b) Four 1/12s make 1/3. (c) Three 1/12s make 1/4. (d) Two 1/12s make 1/6.
Page 21Let Us Do
Question 1: Fill in the blanks with equivalent fractions. There may be more than one answer.
(a) 1/7 = _____ (b) 2/3 = _____ (c) 3/4 = _____ (d) 3/5 = _____
Answer:
(a) 1/7 = 2/14 (or 3/21, 4/28, etc.)
(b) 2/3 = 4/6 (or 6/9, 8/12, etc.)
(c) 3/4 = 6/8 (or 9/12, 12/16, etc.)
(d) 3/5 = 6/10 (or 9/15, 12/20, etc.)
Question 2: Put a tick against the fractions that are equivalent.
(a) 2/3 and 3/4 (b) 3/5 and 6/10 (c) 4/12 and 2/6 (d) 6/9 and 1/3
Answer:
(a) 2/3 and 3/4 (Not equivalent)
(b) 3/5 and 6/10 Equivalent, because 3 x 2=6 and 5 x 2=10)
(c) 4/12 and 2/6 Equivalent, because 2 x 2=4 and 6 x 2=12
(d) 6/9 and 1/3 (Not equivalent)
Question 3: Fill in the boxes such that the fractions become equivalent.
(a) 2/5 = /10 (b) 3/4 = /16 (c) 4/7 = 8/(d) 5/9 = 25/
Answer:
(a) 2/5 = 4/10 (because 5 x 2=10, so 2×2=4)
(b) 3/4 = 12/16 (because 4×4=16, so 3×4=12)
(c) 4/7 = 8/14 (because 4×2=8, so 7×2=14)
(d) 5/9 = 25/45 (because 5×5=25, so 9×5=45)
Page 22Let Us Do
Question 1: Compare the fractions given below using < and > signs.
Answer:
Page 23Let Us Do
Question 1: Compare the following fractions using < and > signs.
Answer:
Let Us DoPage 28
Question 2: Circle the fractions that are greater than one (whole). How do you know? Discuss your reasoning in the class.
Answer: Fractions greater than one are those where the numerator is greater than the denominator.
Page 29Let Us Do
1. Compare the following fractions using 1 as a reference. Share your reasoning in the class.
Answer:
Let Us Do Page 30
Question 1: Circle the fractions below that are equal to 1/2.
Answer: Fractions equal to 1/2 are those where the numerator is exactly half of the denominator.
Question 2: Some fractions are written in the box below. Circle the fractions that are less than half. How do you know? Discuss your reasoning in the class.
Answer: Fractions less than half are those where the numerator is less than half of the denominator.
Page 14Let Us Do
Question 1: Compare the following fractions. Where possible, compare the fractions with 1/2.
Answer:
• 2/9 and 4/7:
2/9: Half of 9 is 4.5. Since 2 < 4.5, 2/9 < 1/2.
4/7: Half of 7 is 3.5. Since 4 > 3.5, 4/7 > 1/2.
Therefore, 2/9 < 4/7.
•11/14 and 7/20:
11/14: Half of 14 is 7. Since 11 > 7, 11/14 > 1/2.
7/20: Half of 20 is 10. Since 7 < 10, 7/20 < 1/2.
Therefore, 11/14 > 7/20.
•5/7 and 3/9:
5/7: Half of 7 is 3.5. Since 5 > 3.5, 5/7 > 1/2.
3/9: Half of 9 is 4.5. Since 3 < 4.5, 3/9 < 1/2.
Therefore, 5/7 > 3/9.
•6/7 and 4/10:
6/7: Half of 7 is 3.5. Since 6 > 3.5, 6/7 > 1/2.
4/10: Half of 10 is 5. Since 4 < 5, 4/10 < 1/2.
Therefore, 6/7 > 4/10.
•9/17 and 3/15:
9/17: Half of 17 is 8.5. Since 9 > 8.5, 9/17 > 1/2.
3/15: Half of 15 is 7.5. Since 3 < 7.5, 3/15 < 1/2.
Therefore, 9/17 > 3/15.
•7/12 and 3/11:
7/12: Half of 12 is 6. Since 7 > 6, 7/12 > 1/2.
3/11: Half of 11 is 5.5. Since 3 < 5.5, 3/11 < 1/2.
Therefore, 7/12 > 3/11.
•1/3 and 5/9:
1/3: Half of 3 is 1.5. Since 1 < 1.5, 1/3 < 1/2.
5/9: Half of 9 is 4.5. Since 5 > 4.5, 5/9 > 1/2.
Therefore, 1/3 < 5/9.
•3/9 and 4/7: (This is a repeat of the first comparison, so the answer is the same)
3/9: Half of 9 is 4.5. Since 3 < 4.5, 3/9 < 1/2.
4/7: Half of 7 is 3.5. Since 4 > 3.5, 4/7 > 1/2.
Therefore, 3/9 < 4/7.