SOLUTION: The numerator of a fraction is 2 more than the denominator. If denominator is doubled at the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3. F
Algebra.Com
Question 599990: The numerator of a fraction is 2 more than the denominator. If denominator is doubled at the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3. Find the original fraction.
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
The numerator of a fraction is 2 more than the denominator.
If denominator is doubled and the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3.
Find the original fraction.
:
Let x = the denominator
then
(x+2) = the numerator
:
= the original fraction
:
the equation for the statement:
"If denominator is doubled and the numerator is decreased by 1, the sum of the original fraction and the new one is 7/3."
+ =
Multiply by 6x
6x* + 6x* = 6x*
cancel the denominators and you have
3(x+1) + 6(x+2) = 2x(7)
3x + 3 + 6x + 12 = 14x
9x + 15 = 14x
15 = 14x - 9x
15 = 5x
x = 15/5
x = 3
:
is the original fraction
RELATED QUESTIONS
The denominator of a fraction is 5 more than twice the numerator. If the numerator is... (answered by ankor@dixie-net.com)
The denominator of a fraction is 1 more than the numerator. If the numerator is decreased (answered by stanbon)
The denominator of a fraction is 1 more than the numerator.
If the numerator is... (answered by richwmiller)
The denominator of a fraction is 1 more than the numerator. If the numerator is decreased (answered by mananth)
The denominator of a fraction is 9 more than the numerator. If the numerator is decreased (answered by mananth)
the denominator of a fraction is 6 more than the numerator. If the numerator is decreased (answered by josgarithmetic,addingup)
The denominator of a fraction of a fraction is 9 more than the numerator. If both the... (answered by rothauserc)
The denominator of a fraction is 11 more than the numerator. If both the numerator and... (answered by ikleyn,josgarithmetic)
please help solve:
The denominator of a fraction is 1 more than the numerator. If both... (answered by josgarithmetic,greenestamps)