Question

the denominator of a fraction is 3 more than the numerator. if 2 is added to the denominator the fraction becomes 1/2.find the original fraction​

Answer 1

Given:

• The denominator of a fraction is 3 more than the numerator. if 2 is added to the denominator the fraction becomes 1/2

To Find:

• Original fraction

Solution:

• Let the numerator be x
• Denominator be x + 3

If 2 is added to the denominator

→ x + 3 + 2

→ x + 5

According to Question:

→ x/ x + 5 = 1/2

→ 2 + x = x × 5

→ 2x = x + 5

→ 2x - x = 5

→ x = 5

Hence,

• Numerator = x = 5
• Denominator = x + 3 = 8

The original fraction is 5/8

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