Complete the statement below to explain how this model shows that 1/6 ÷ 1/4 = 2/3.
2 answers:
Answer:
The answer is 2/3 and I will show the working to prove that in the explanation
Step-by-step explanation:
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Answer =×
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- So basically what is happening in the above steps what I have shown is that first I am changing the division sign into multiplication and then I am reciprocating the fraction of 1/4 into 4/1 because on the other side of it is multiplying and after doing that I am simplifying the fraction 4/6 by dividing it by 2 and hence I got a fraction of 2/3 as the answer
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Hello!
We can go through each answer to verify whether each is equivalent to 8 : 6.
4 : 3 is equivalent to 8 : 6 because reducing the ratio 8 : 6 by a factor of 2 yields 4 : 3.
6 : 8 is not equivalent to 8 : 6 because the ratio is reversed.
16 : 12 is equivalent to 8 : 6 because the ratio is increased by a factor of 2.
10 : 8 is not equivalent to 8 : 6. We can verify this by checking whether each term was scaled equally:
10 ÷ 8 = 1.25
8 ÷ 6 = 1.33. Therefore, they are unequal.
7 : 5 is not equal to 8 : 6 for the same reason.
The only correct choices are:
4 : 3 and 16 : 12.