The denominator of a rational number is greater than its numerator by 8 . If the numerator is decreased by 1 , the number obtained is 3/2 find the rational number ?
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Answer:
Let the numerator of the rational number be x.
So as per the given condition, the denominator will be x + 8.
The rational number will be \(\frac{x}{x+8}\)
According to the given condition,
\(\frac{x+17}{x+8-1} = \frac{3}{2}\)
\(\frac{x+17}{x+7} = \frac{3}{2}\)
3(x + 7) = 2(x + 17)
3x + 21 = 2x + 34
3x – 2x + 21 – 34 = 0
x – 13 = 0
x = 13
The rational number will be
= \(\frac{x}{x+8}\)
= \(\frac{13}{13+8}\)
Rational number = 13/21
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- Answer:
- Answer:Let the numerator of the rational number be x.
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 34
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0x = 13
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0x = 13The rational number will be
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0x = 13The rational number will be= \(\frac{x}{x+8}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0x = 13The rational number will be= \(\frac{x}{x+8}\)= \(\frac{13}{13+8}\)
- Answer:Let the numerator of the rational number be x.So as per the given condition, the denominator will be x + 8.The rational number will be \(\frac{x}{x+8}\)According to the given condition,\(\frac{x+17}{x+8-1} = \frac{3}{2}\) \(\frac{x+17}{x+7} = \frac{3}{2}\) 3(x + 7) = 2(x + 17)3x + 21 = 2x + 343x – 2x + 21 – 34 = 0x – 13 = 0x = 13The rational number will be= \(\frac{x}{x+8}\)= \(\frac{13}{13+8}\)Rational number = 13/21
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