Question

The numerator of a rational number is 3 less than the denominator. If the denominator is increased by 5 and numerator by 2, we get the rational number 1/2. The rational number is

Answer 1

Answer:

i will solve it...

Step-by-step explanation:

let denominator =x

so numerator= x-3

if

(x-3)+2/x+5 =1/2

by cross multiplication

(x-1)2= x+5

2x-2=x+5

2x-x=5+2

x=7

so rational number is x-3/x

= 7-3/7

=4/7

this is the solution

Answer 2

Answer:

⇢ 4/7 is the required fraction.

Step-by-step explanation:

Given:-

⇢ The numerator of a rational number is 3 less than the denominator. If the denominator is increased by 5 and numerator by 2, we get the rational number 1/2.

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Find:-

⇢ What is the rational number.

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Calculations:-

• Let us assume x be the numerator and y be the denominator.

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As per the first case:

★ The numerator of rational number is 3 less than the denominator.

⇢ (x - 3)

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As per the second case:

★ If the denominator is increased by 5 and numerator by 2. we get the rational number 1/2.

⇢ x + 5 = 1/2

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Now writing all the cases step by step, we get:

⇢ (x - 3) + 2/x + 5 = 1/2

⇢ x - 1/x + 5 = 1/2

⇢ 2x - 2 - x + 5

⇢ 4 + 3 = 7

⇢ y = 7

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⇢ x = 7 - 3/7

⇢ x = 4

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⇢ Rational number = 4/7

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Therefore, the required rational numerator is 4/7.