Question

the denominator of a rational number is 2 more thanits numerator. if 3 is added to the dinominator the number obtained is 1/2. find the orignal number​

Answer 1

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Let The Numerator Be x - 3 and the Dominator be x.

By Using the Formula, We Get

$Fraction=\,\frac{Numerator}{Deno\min ator}</p><p> \\ \\ fraction=\frac{x-3}{x}$

So, we will increase the numerator by 5, then According to the given condition fraction is equal to $\frac{1}{2}$

$fraction=\frac{x-3+2}{x+5}=\frac{1}{2}$

$\frac{x-1}{x+5}=\frac{1}{2}$

After cross multiplication we get,

$2\left( x-1 \right)=x+5$

$\begin{aligned}   & 2x-2=x+5 \\ & 2x-x=5+2 \\ & x=7 \\ \end{aligned}$

we will put the value of $x$ in the Dominator and Numerator.

$Rational\,\,number\,\,=\,\,\frac{x-3}{x}=\frac{7-3}{7}=\frac{4}{7}$

Therefore, the fraction is equal to $\frac{4}{7}$

Therefore, the Rational number is equal to $\frac{4}{7}$

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Hope it's Helpful :)

Answer 2

Step-by-step explanation:

the denominator of a rational number is 2 more thanits numerator. if 3 is added to the dinominator the number obtained is 1/2. find the orignal number the denominator of a rational number is 2 more thanits numerator. if 3 is added to the dinominator the number obtained is 1/2. find the orignal number

Answer 3

Step-by-step explanation:

the denominator of a rational number is 2 more thanits numerator. if 3 is added to the dinominator the number obtained is 1/2. find the orignal number the denominator of a rational number is 2 more thanits numerator. if 3 is added to the dinominator the number obtained is 1/2. find the orignal number