How do you simplify $(2p - 24)/(4p - 48)$ ?

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Answer 1 · 2015-05-30T13:26:01

Assuming $p!=12$

$(2p-24)/(4p-48)$

$= ((2)(p-12))/((4)(p-12))$

$= 2/4$

$=1/2$

Answer 2 · 2015-05-30T13:26:30

You can see that both numerator and denominator have their terms multiplied by a common factor, as follows:

$(2(p-12))/(4(p-12))$

As $(p-12)$ is both in the numerator and in the denominator, we can cancel it

$(2cancel((p-12)))/(4cancel((p-12)))=2/4=color(green)(1/2)$

How do you simplify (2p - 24)/(4p - 48)(2p - 24)/(4p - 48)?