Question

How do you make an improper fraction for \[2\dfrac{3}{8}\]?

Answer 1

Hint: To make improper fraction from mixed fraction \[2\dfrac{3}{8}\]
Basically, a fraction in which the numerator is greater than or equal to the denominator is called an improper fraction. We know that mixed-function is written in the form of \[a\dfrac{b}{c}\] and improper fraction is written in the form of \[\dfrac{p}{q}\], so basically in this question we need to convert \[a\dfrac{b}{c}\] into \[\dfrac{p}{q}\] so we follow certain steps to do this. Firstly we multiply the whole number part(a) by the fraction denominator (c) and the resultant came will be added up to the numerator of the fraction (b).
Mathematically, it is written as \[a\dfrac{b}{c}\] \[ = \dfrac{{a \times c + b}}{c}\],Now we will get an improper function.

Complete step by step solution:
So to convert a mixed fraction into an improper function, we need to multiply the whole number part by the fraction denominator and the resultant came will be added up to the numerator of the fraction.
Now,
\[2\dfrac{3}{8} = \dfrac{{2 \times 8 + 3}}{8}\], by solving using BODMAS we also have to take care that b also should be greater than zero. If these conditions are satisfied then only we will be able to solve the logarithmic function rule we get
\[\dfrac{{16 + 3}}{8} = \dfrac{{19}}{8}\], this the improper fraction of \[2\dfrac{3}{8}\].

Note: While applying simple operation, we need to take care of BODMAS rule (bracket, off, division, multiplication, addition, and subtraction) that is for the given question we should first do multiplication and then add to get the correct answer. We can follow the BODMAS rule while doing any type of arithmetic operation