Write an improper fraction and convert it into a mixed fraction?
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Example: Change the improper fraction 402/11 to a mixed number.
Divide the numerator by the denominator.
Divide 402 by 11, which equals 36 with a remainder of 6.
402 11 = 36 r6
Find the whole number.
The whole number is the number of times the denominator divides into the numerator.
11 (the denominator) divides into 402 (the numerator) 36 times, so 36 is the whole number.
Make the remainder the new numerator.
Because the remainder (the leftover value) of dividing 402 by 11 is 6, 6 is the new numerator. The denominator is still 11. So, the mixed fraction is:
36×6/11
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Step-by-step explanation:
See how each example is made up of a whole number and a proper fraction together? That is why it is called a "mixed" fraction (or mixed number).
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