Question

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 ?​

Answer 1

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

Step-by-step explanation:

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Answer 2

• 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