Question

Which shows the expressions rewritten with the least common denominator? 2p - 5/4p and 5p/6p2
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Answer 1

A: 6p^2-15p/12p^2 and 10p/12p^2

Explanation:

The answer is A

Answer 2

`(2p-5)/(4p)`

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,
`(2p-5)/(4p)` and
`(5p)/(6p^(2) )`,

the common denominator = 24
`p^(2)`, and the highest common factor is 2p.

Therefore, the least common denominator =
`(24p^(2) )/(2p)`

= 12p

Thus,
`((2p-5)*3)/(4p*3)` =
`((6p-15))/(12p)`

and
`(5p*2)/(6p^(2)*2 )` =
`(10p)/(12p^(2) )`

The expression that shows the least common denominator when rewritten is
`(2p-5)/(4p)`.