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
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-> 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
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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
