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With any division problem if a ÷ b = c then b x c = a. For example, if you divide 1/2 by 1/8 (you are finding how many 1/8ths are in 1/2) and you think the answer is 4, then you can check the answer by multiplying 1/8 by 4... if the result is 1/2 (which it is) then your division was correct. If you divide 2/3 by 1/2 and got 3/4 (incorrect) you can check it by multiplying 1/2 by 3/4 which gives your 3/8 which is not equivalent to 2/3. This reasoning is the same for checking addition and subtraction problems. If you think a–b=c then c + b must equal a, for example.
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