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Question

Jimmy learnt the concepts of mixed fractions and improper fractions. He had a thought and wanted to confirm it with his teacher. He wrote the following steps on a paper:

934=9+34=(8+1)+34=8+(1+34)=8+74=874

Jimmy says that 874 is a mixed fraction. Choose the correct option(s):


A

Jimmy is correct because the math he had done has no errors

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B

Jimmy is correct because a mixed fraction has a whole number and a fraction and so 874 is a mixed fraction

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C

Jimmy is incorrect when he says that 874 is a mixed fraction, because the fraction part is an improper fraction

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D

Jimmy is incorrect because the whole number part and the fractional part are not numerically same in both the fractions

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Solution

The correct option is C

Jimmy is incorrect when he says that 874 is a mixed fraction, because the fraction part is an improper fraction


For a number to be a mixed fraction, the fraction part has to be a proper fraction.

Jimmy is incorrect when he says that 874 is a mixed fraction, because the fraction part, 74, is not a proper fraction since its numerator is greater than its denominator.


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