Question

Find the LCD of the list of fractions. 11/20, 1/18, 13/90

Answer 1

LCD state for Least Common Denominator

The given fraction are :

`(11)/(20),\text{ }(1)/(18),\text{ }(13)/(90)`

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 :

`\begin{gathered} (11)/(20)\text{ to make denominator equal to 180,} \\ \text{ Multiply up \& down by 9} \\ (11*9)/(20*9)=(99)/(180) \\ \text{ } \\ (1)/(18)\text{ to make denominator equal to 180} \\ \text{ Multiply up and down by 10} \\ (1*10)/(18*10)=(10)/(180) \\ \\ (13)/(90),\text{ to make denominator equal to 180} \\ \text{Multiply up and down by 2} \\ (13*2)/(90*2)=(26)/(180) \end{gathered}`

Thus, the fraction will convert as :

`\begin{gathered} (11)/(20)=(99)/(180) \\ (1)/(18)=(10)/(180) \\ (13)/(90)=(26)/(180) \end{gathered}`

The least common denominator is 180

Answer : LCD of 11/20, 1/18, 13/90 ​ is 180