LCD state for Least Common Denominator
The given fraction are :
[tex]\frac{11}{20},\text{ }\frac{1}{18},\text{ }\frac{13}{90}[/tex]For the least common denominator, first find the LCM of all the denominator of the given values:
Denominator are : ( 20, 18, 90)
LCM of (20,18, 90) = 180
So, the fraction will value can be written as :
[tex]\begin{gathered} \frac{11}{20}\text{ to make denominator equal to 180,} \\ \text{ Multiply up \& down by 9} \\ \frac{11\times9}{20\times9}=\frac{99}{180} \\ \text{ } \\ \frac{1}{18}\text{ to make denominator equal to 180} \\ \text{ Multiply up and down by 10} \\ \frac{1\times10}{18\times10}=\frac{10}{180} \\ \\ \frac{13}{90},\text{ to make denominator equal to 180} \\ \text{Multiply up and down by 2} \\ \frac{13\times2}{90\times2}=\frac{26}{180} \end{gathered}[/tex]Thus, the fraction will convert as :
[tex]\begin{gathered} \frac{11}{20}=\frac{99}{180} \\ \frac{1}{18}=\frac{10}{180} \\ \frac{13}{90}=\frac{26}{180} \end{gathered}[/tex]The least common denominator is 180
Answer : LCD of 11/20, 1/18, 13/90 is 180
