5x/9 8 in a improper fraction as a mixed number

In order to convert the improper fraction to a mixed number, we need to divide the numerator by the denominator.

Dividing 5x by 9, we get:

5x ÷ 9 = (0x + 5x) ÷ 9 = 0 + 5x ÷ 9 = 5x ÷ 9

Since there are no other terms in the numerator and the numerator is smaller than the denominator, we cannot have a whole number. Therefore, the mixed number is 0 and the fraction is 5x/9.

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To convert the improper fraction 5x/9 into a mixed number, we divide the numerator (5x) by the denominator (9).

When we divide 5x by 9, the quotient is the whole number part of the mixed number and the remainder is the numerator of the fractional part.

The whole number part of the mixed number is obtained by dividing 5x by 9: (5x ÷ 9).

To find the fractional part, we take the remainder (5x modulus 9) as the numerator and the original denominator (9) as the denominator.

Therefore, the mixed number form of 5x/9 is (5x ÷ 9) + [(5x modulus 9)/9].