Question

a fraction is reduced to 1/4, when 2 is subtracted from the numerator and 3 is added to the denominator,but it reduces to 2/3 if 6 is added to the numerator and denominator us multiplied by 3. find the fraction.

pls ans fast ...no spaming ...no wrong answers...​

Answer 1

Answer:let numerator be x and denominator be y

therefore fraction will be x/y

ATQ

x-2/y+3=1/2

2x-4=y+3

2x-y=3+4

2x-y=7.............(i)

again,ATQ

x+6/3y=2/3

3x+18=6y

3x-6y=18.......(ii)

now solve the equation and find the value of x and y and write it as a fraction x/y.

hope it helps u

Step-by-step explanation:

Answer 2

Answer:

☞The fraction is 4/5

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Step-by-step explanation:

fraction reduces to 1/4 when two is subtracted from the numerator and three is added to be the denominator.

but it reduces to 2/3 if six is added to the numerator and the denominator is multiplied by three. find the fraction.

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☞Equations:

Let the fraction be x/y

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(x-2)/(y+3) = 1/4

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(x+6)/(3y) = 2/3

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☞Simplify :

4x-8= y+3

3x+18 = 6y

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☞Rearrange:

4x-y = 11

3x-6y = -18

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☞Multiply 1st by 6 to get:

24x-6y = 66

3x-6y = -18

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☞Subtract 2nd from 1st to get:

21x = 84

x = 4

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☞Substitute into 4x-y=11 to solve for "y":

4*4-y = 11

y = 5

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☞The fraction is 4/5

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