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wlad13 [49]
3 years ago
9

The denominator of a fraction is three more than the numerator. When both are increased by 1 the fraction becomes 1/2. What is t

he original fraction?
Mathematics
1 answer:
Akimi4 [234]3 years ago
8 0

Answer:

2/5

Step-by-step explanation:

Let x = numerator

3 + x = denominator

\frac{x}{3+x}

the numerator and denominator are increased by 1 , the fraction becomes

\frac{x + 1}{4 + x} = \frac{1}{2}

cross multiply

2(x + 1 ) = 4 + x

2x + 2 = 4 + x

combine like terms

2x - x = 4 - 2

x = 2 = numerator

denominator = 2 + 3 = 5

2/5 fraction

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