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If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction?
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If the Numerator of fraction increased by 20% and denominator decrease...
Original Fraction Calculation:
To find the original fraction, let's assume the original fraction is represented as \( \frac{a}{b} \).
Given Information:
- Numerator increased by 20%: New Numerator = \( a + 0.2a = 1.2a \)
- Denominator decreased by 10%: New Denominator = \( b - 0.1b = 0.9b \)
- New Fraction after changes: \( \frac{1.2a}{0.9b} = \frac{3}{2} \)
Solving the Equation:
\( \frac{1.2a}{0.9b} = \frac{3}{2} \)
Cross multiplying, we get:
\( 2 \times 1.2a = 3 \times 0.9b \)
\( 2.4a = 2.7b \)
Dividing by 2.7 on both sides:
\( \frac{2.4a}{2.7} = b \)
\( b = \frac{2.4a}{2.7} \)
\( b = \frac{24a}{27} \)
Therefore, the original fraction is \( \frac{a}{\frac{24a}{27}} = \frac{27}{24} = \frac{9}{8} \).
Hence, the original fraction is \( \frac{9}{8} \).
To find the original fraction, let's assume the original fraction is represented as \( \frac{a}{b} \).
Given Information:
- Numerator increased by 20%: New Numerator = \( a + 0.2a = 1.2a \)
- Denominator decreased by 10%: New Denominator = \( b - 0.1b = 0.9b \)
- New Fraction after changes: \( \frac{1.2a}{0.9b} = \frac{3}{2} \)
Solving the Equation:
\( \frac{1.2a}{0.9b} = \frac{3}{2} \)
Cross multiplying, we get:
\( 2 \times 1.2a = 3 \times 0.9b \)
\( 2.4a = 2.7b \)
Dividing by 2.7 on both sides:
\( \frac{2.4a}{2.7} = b \)
\( b = \frac{2.4a}{2.7} \)
\( b = \frac{24a}{27} \)
Therefore, the original fraction is \( \frac{a}{\frac{24a}{27}} = \frac{27}{24} = \frac{9}{8} \).
Hence, the original fraction is \( \frac{9}{8} \).
Community Answer
If the Numerator of fraction increased by 20% and denominator decrease...
19/8
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If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction?
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If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction?.
If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction? for CAT 2024 is part of CAT preparation. The Question and answers have been prepared according to the CAT exam syllabus. Information about If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction? covers all topics & solutions for CAT 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for If the Numerator of fraction increased by 20% and denominator decreased by 10% fraction becomes 3/2 what is the value of original fraction?.
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