Question

Express \[\dfrac{20}{3}\] as a mixed fraction.

Answer 1

Hint:To convert an improper fraction into a mixed fraction, we need to divide the numerator of the fraction by the denominator.

Complete step by step answer:
Let us take an example. Say \[\dfrac{13}{5}\] .
So, to convert this fraction, we will firstly divide 13 by 5.

Now, the whole number in the mixed fraction to be formed will be the quotient in the fraction, i.e. 2.
Then, the numerator of the fraction will be the remainder, i.e. 3.
Lastly, the denominator of the fraction will be the divisor, i.e. 5.
Hence, the mixed fraction so formed will be \[2\dfrac{3}{5}\].
We will follow the method described in the hint.
So, we will have to divide 20 by 3.

Now, the whole number in the mixed fraction to be formed will be the quotient in the fraction, i.e. 6.
Then, the numerator of the fraction will be the remainder, i.e. 2.
Lastly, the denominator of the fraction will be the divisor, i.e. 3.
Hence, the mixed fraction so formed will be \[6\dfrac{2}{3}\]

Note:The division must be done very properly, without any mistake. Because, if any mistake is done, then the answer obtained would be wrong.
One needs to know the meaning of the terms IMPROPER FRACTION and MIXED FRACTION accurately.
IMPROPER FRACTION: Any fraction that has its numerator greater than its denominator is known as an improper fraction. For example - \[\dfrac{13}{5},\dfrac{21}{4}\] etc.
MIXED FRACTION: A whole number and a fraction combined into one "mixed" number. For example -\[5\dfrac{2}{3},11\dfrac{4}{5}\] etc.