To obtain the fraction first we need to obtained the number. The number can be identified by using algebraic expression.
The fraction is [tex]\dfrac{12}{30}[/tex].
Given:
The given fraction is [tex]\dfrac{2}{5}[/tex].
Let the numerator is [tex]n[/tex].
The numerator is 18 less than denominator is [tex](n+18)[/tex], the fraction is [tex]\dfrac {n}{n+18}[/tex].
Write the algebraic expression as per question to find the number.
[tex]\begin{aligned} \dfrac {n}{n+18}&=\dfrac {2}{5}\\5n&=2(n+18)\\5n&=2n+36\\n&=12\\\end[/tex]
Calculate the fraction.
[tex]\dfrac {n}{n+18}=\dfrac {12}{12+18}\\\dfrac {n}{n+18}=\dfrac {12}{30}[/tex]
Thus, the fraction is [tex]\dfrac{12}{30}[/tex].
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