Math 102
posted by Allen .
What number must be added to the numerator and subtracted from the denominator of 10/23 to obtain a fraction equivalent of 6/5? Please provide step by step, this is a word problem for rational expressions. Thank you

So you want
(10+x)/(23x) = 6/5
crossmultiply
5(10+x) = 6(23x)
50 + 5x = 138  6x
11x = 88
x = 8
the number is 8
check"
(10+8)/(238)
= 18/15
= 6/5