SOLUTION: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one i

Question 205932: 2.)The denominator of a fraction is 4 less than the numerator. If the denominator is doubled and the numerator is increased by 6, the sum of the original fraction and the new one is 3. Find the original fraction.
Answer by edjones(8007) (Show Source): You can put this solution on YOUR website!
Let d=denominator & n=numerator
d=n-4
.
n/d original fraction
(n+6)/2d new fraction.
n/d + (n+6)/2d = 3
2n+n+6=6d Multiply each side by 2d (LCM) to eliminate fractions.
3n+6=6d
3n+6=6(n-4) Substitute n-4 for d.
3n+6=6n-24
3n=30
n=10
d=6
.
10/6 original fraction
.
Ed
RELATED QUESTIONS
2.)The denominator of a fraction is 4 less than the numerator. If the denominator is... (answered by checkley77)

2.)The denominator of a fraction is 4 less than the numerator. If the denominator is... (answered by ankor@dixie-net.com)

The numerator of a fraction is 4 less than the denominator. If the numerator is doubled... (answered by josgarithmetic)

The numerator of a fraction is 2 less than the denominator. if 3 is added both numerator... (answered by TimothyLamb)

The denominator of a fraction is 4 less than the numerator. If the denominator is doubled (answered by josgarithmetic)

The numerator of a fraction is 5 less than its denominator. If 6 is added to the... (answered by mananth)

If you increase the numerator if by 3 and the denominator by 4, the value of the fraction (answered by stanbon)

The numerator of a certain fraction is 3 less than its denominator. If 6 is added to... (answered by josgarithmetic,MathTherapy)

The numerator of a fraction is 2 more than the denominator. If denominator is doubled at... (answered by ankor@dixie-net.com)