Find the rational number which equal 3/5 and sum of its numerator and dominator equal 24
solution :
we know that the fraction value not change if we multiply its numerator and dominator by any similar number for instance 3 / 5 = 3 * 2 / 5 * 2 =6 / 10.
now let the rational number = x/y
then x/y = 3/5 so by using the blue property above x/y = 3n / 5n
( n is const) so x = 3n and y = 5n
we know that numerator and dominator equal 24 so x + y = 24 so 3n + 5n = 24 so 8n = 24 so n = 3
then x = 3*3 =9 and y = 3 *5 = 15 then the number is 9/15
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