Math

QuestionConvert the fraction 56\frac{5}{6} to a mixed number.

Studdy Solution

STEP 1

Assumptions1. We have an improper fraction 56\frac{5}{6}. . We need to convert this improper fraction into a mixed number.

STEP 2

An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number). A mixed number is a whole number and a proper fraction combined.

STEP 3

To convert an improper fraction to a mixed number, we divide the numerator by the denominator. The quotient (without the remainder) becomes the whole number, and the remainder over the denominator becomes the fraction.
56=Wholenumber+RemainderDenominator\frac{5}{6} = Whole\, number + \frac{Remainder}{Denominator}

STEP 4

We divide the numerator by the denominator6.
÷6=0remainder \div6 =0\, remainder\,

STEP 5

So, the whole number is0 and the remainder is5. We write the remainder over the original denominator.
5=0+5\frac{5}{} =0 + \frac{5}{}

STEP 6

implify the mixed number.
56=056\frac{5}{6} =0 \frac{5}{6}So, the improper fraction 56\frac{5}{6} is equivalent to the mixed number 0560 \frac{5}{6}.

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