Answer: [tex]\frac{1}{4}[/tex] and [tex]\frac{1}{10}[/tex]
Step-by-step explanation:
To calculate the Least Common Denominator (LCD) of two fractions you must descompose each denominators into their prime factors and multiply the commons and non-commons with the largest exponent.
Let's write the following two fractions:
[tex]\frac{1}{4}[/tex] and [tex]\frac{1}{10}[/tex]
The LCD is:
[tex]4=2*2=2^2\\10=2*5[/tex]
[tex]LCD=2^2*5\\LCD=4*5\\LCD=20[/tex]
So, we have two fractions where LCD is 20.
Let's verify that product of the denominators is not 20:
[tex]4*10=40[/tex] (The product is not 20).
