Question

What is \[\dfrac{10}{3}\] as a mixed number?

Answer 1

Hint: In the above mentioned question we need to take out the mixed fraction of a number for this we are going to make it into a fraction then write the integer part on the LHS and then write the fraction on the RHS i.e. \[a\dfrac{b}{c}\] where a is the integer written on the LHS and b is the remainder when divided by c which makes \[\dfrac{b}{c}\] a fraction which is written on the RHS.

Complete step by step solution:
In the above mentioned question we are going to find out the mixed fraction of the given fraction, for that we are first going to divide and convert the fraction into decimal form. In this we will get two things first is the quotient then comes the remainder. The mixed form that the question wants us to convert will be formed with these two things i.e. the quotient and the remainder of the fraction that has been mentioned in the question. The general equation of the mixed form will be \[a\dfrac{b}{c}\] where ‘a’ is the integer written on the LHS and b is the remainder when divided by c which makes \[\dfrac{b}{c}\] a fraction which is written on the RHS. In this the integer that has been motioned will be the quotient of the fraction. So when we change the given fraction of the question i.e. \[\dfrac{10}{3}\] into quotient and remainder we will get quotient as 3 and the remainder will be 1 and the denominator i.e. c will be the same as mentioned fraction i.e. equal to 3. So after substituting all the values in the general mixed form we will get the final equation of mixed form as \[3\dfrac{1}{3}\].
So the mixed form of the fraction mentioned in the question is \[3\dfrac{1}{3}\].

Note: In the above question while converting we will have to make sure that the remainder is smaller than the denominator and is not divisible by the denominator i.e. the \[\dfrac{b}{c}\] will be in the simplest form and cannot be converted into any more simpler form.