Answer:
[tex]\frac{2p-5}{4p}[/tex]
Step-by-step explanation:
Least common denominator is the smallest number or expression that can be a common denominator for a set of fractions.
Comparing the two expressions, [tex]\frac{2p-5}{4p}[/tex] and [tex]\frac{5p}{6p^{2} }[/tex],
the common denominator = 24[tex]p^{2}[/tex], and the highest common factor is 2p.
Therefore, the least common denominator = [tex]\frac{24p^{2} }{2p}[/tex]
= 12p
Thus, [tex]\frac{(2p-5)*3}{4p*3}[/tex] = [tex]\frac{(6p-15)}{12p}[/tex]
and [tex]\frac{5p*2}{6p^{2}*2 }[/tex] = [tex]\frac{10p}{12p^{2} }[/tex]
The expression that shows the least common denominator when rewritten is [tex]\frac{2p-5}{4p}[/tex].
Answer:
A: 6p^2-15p/12p^2 and 10p/12p^2
Step-by-step explanation:
The answer is A
