Question

Convert the following mixed fraction into improper fraction:
$3\dfrac{2}{8}$

Answer 1

Hint: For solving this question, we should have some knowledge of multiplication, addition and division as we will be requiring these things in these problems. There can be a lot of methods for converting common fractions into decimal numbers.

Complete step-by-step answer:
Definition of addition: Addition is a process of combining two or more similar things to make a new net value.
Definition of multiplication: Multiplication is a process of combining things. In multiplication, the things don’t need to be necessarily similar.
Definition of division: Division is a process of distributing things or materials into equal parts. It is one of the four very basic operations of arithmetic operations. Division can also be considered as the inverse operation of the multiplication operation.
For converting the common fraction into a decimal number, one way is to convert the common fraction into an improper fraction and then follow by long division.
For converting the common fraction into an improper fraction, we need to multiply the denominator with the whole number that is written on the left side of the fraction part, then add the numerator to the result of the multiplication. The result of this process will give us the numerator of the improper fraction required. The denominator will be the same as that of the denominator of the fraction part of the common fraction. This is as follows:
Numerator: $(8\times 3)+2=26$
Denominator: $8$
Fraction is: $\dfrac{26}{8}$
Now proceeding with long division, we get $3.25$ as a quotient.
Therefore, $3\dfrac{2}{8}$ is equivalent to $3.25$ in the decimal conversion.

Note: There can be many different methods for solving this problem, the only thing we need to keep in mind is that we must be very careful in doing the calculation in finding out the required result of the problem, i.e. the quotient in this case.