Question

the denominator of the fraction is 3 more than the numerator. if 5 is added to both parts, the resulting fraction is equivalent to 4 by 5. find the fraction.​

Answer 1

Answer:

Let the numerator be x then the denominator will be x + 3. Given that if 5 is added to both parts the resulting will be 4/5.

Answer 2

Answer:

The fraction is 7/10.

Step-by-step explanation:

Given:

• The denominator of the fraction is 3 more than the numerator.
• If 5 is added to both parts, the resulting fraction is equivalent to 4 by 5.

To find:

• The fraction.

Solution:

We are provided that the denominator of the fraction is 3 more than the numerator, so if we assume the numerator as x, then the denominator would be 3 added to x.

We know 5 added to both the parts that is 5 added to both the numerator and denominator, the resulting fraction is equal to 4 by 5.

Thus forming an adequate equation and doing the required calculations, we can easily find the value of x and after that the numerator and denominator respectively.

Let's find out...

Let the numerator be x,

then the denominator = x + 3

According to the problem,

• ( x + 5)/(x + 3 + 5) = 4/5
• ( x + 5)/(x + 8) = 4/5
• 5( x + 5) = 4(x + 8)
• 5x + 25 = 4x + 32
• 5x - 4x = 32 - 25
• x = 7

Now, find both the numerator and denominator respectively.

• Numerator = 7

• Denominator = 7 + 3
• Denominator = 10

∴ The required fraction = 7/10

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