rz/pqr = q/pqr + p/pqr
rz = q + p
r = (p+q)/z
RS = 1/(pr) + 1/(qr) , if r = (p+q)/z
= 1/( p(p+q)/z) + 1/( q(p+q)/z)
= z/(p(p+q)) + z/(q(p+q))
= (zq + zp)/( pq(p+q))
This allows you to express any fraction , which has a factorable denominator , into two fraction each with a numerator of 1
suppose we have 5/12
5/12 = 5/(3x4)
so using the above formula
z = 5
p = 3
then r = 7/5
so 5/12 = 1/(3(7/5)) + 1/4(7/5))
= 1/(21/5) + 1/(28/5)
= 5/21 + 5/28
= 5( 1/21 + 1/28)
Thank you so much!!
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