Question

Q.15 The denominator of a rational number is greater that its numerator by 6. if the numerator is increased by 5
and the denominator is decreased by 3. The number obtained is equal to 5/4. Find the rational number.​

Answer 1

Answer:

answer 5/11

answer 5 by 11

Answer 2

$\huge\boxed{\frac{5}{11}}$

Step-by-step explanation:

• Let the numerator be x and Denominater be x + 6

If The Numerator is increased by 6 and Denominator is decrease by 3 , The number obtained is $\bf\large\frac{5}{4}$

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As per question :-

$\frac{(x)+5}{(x+6)-3}=\frac{5}{4} \\ => \frac{x+5}{x+3}=\frac{5}{4} \\ => \bf{By\:Cross\:Multiplication} \\ => 4(x+5)=5(x+3) \\ => 4x + 20 = 5x + 15 \\ => 4x - 5x = 15 - 20 \\ => -x = -5 \\ =>\boxed{ x = 5 }$

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Therefore the Fraction is :-

$\frac{x}{x+6} \\ => \bf{x = 5} \\ => \frac{5}{5+6} \\ => \boxed{\frac{5}{11}}$

Hope it helped