SOLUTION: two fractions have denominators 3 and 4. Their sum is 17/12. If the numerators are switched, the sum is 3/2. Determine the two numerators.
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Question 660214: two fractions have denominators 3 and 4. Their sum is 17/12. If the numerators are switched, the sum is 3/2. Determine the two numerators.
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
(1)
(2)
-----------------------
(1)
(2)
-------------------
(1)
(2)
-------------------
Multiply both sides of (1) by
Multiply both sides of (2) by
------------------
(1)
(2)
--------------------
Subtract (1) from (2)
(2)
(1)
---------
and, since
(1)
(1)
(1)
(1)
------------
The numerators are 2 and 3
check:
(1)
(1)
(1)
(1)
(2)
(2)
(2)
(2)
OK
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