Here are the completed problems:
1) Classwork
- a) 1 whole = 3 thirds
- b) 1 whole = 6 sixths
- c) 1 half = 3 sixths
- Step 1: To convert 21 to sixths, we need to multiply the denominator 2 by 3 to get 6.
- Step 2: We must also multiply the numerator 1 by 3. So, 1×3=3.
- Therefore, 21=63.
- d) 1 third = 2 sixths
- Step 1: To convert 31 to sixths, we need to multiply the denominator 3 by 2 to get 6.
- Step 2: We must also multiply the numerator 1 by 2. So, 1×2=2.
- Therefore, 31=62.
2) Copy and complete
- a) 31=62 (Already completed)
- b) 32=64
- Step 1: The denominator 3 was multiplied by 2 to get 6.
- Step 2: Multiply the numerator 2 by 2 to find the missing value. 2×2=4.
- c) 21=63
- Step 1: The denominator 2 was multiplied by 3 to get 6.
- Step 2: Multiply the numerator 1 by 3 to find the missing value. 1×3=3.
- d) 1=66
- Step 1: A whole number 1 can be written as a fraction where the numerator and denominator are the same.
- Step 2: Since the denominator is 6, the numerator must also be 6.
- e) 64=32
- Step 1: The denominator 6 was divided by 2 to get 3.
- Step 2: Divide the numerator 4 by 2 to find the missing value. 4÷2=2.
- f) 62=31
- Step 1: The denominator 6 was divided by 2 to get 3.
- Step 2: Divide the numerator 2 by 2 to find the missing value. 2÷2=1.
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