Question

Add the same number to both the numerator and the denominator of the fraction 7/17 to change it to 3/5.
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Answer 1

Answer: 8

Step-by-step explanation:

Answer 2

The number that will be added is: 8.

Given,

The numerator is 7 and the denominator is 17.

To find,

The number will be added to both the numerator and denominator of the fraction 7/17 and changed to 3/5.

Solution,

Let, that number be x.

x will be added to both the numerator and denominator.

So, The numerator will be (7+x).

And, The denominator will be (17+x).

As given in the question,

$\frac{7+x}{17+x} = \frac{3}{5}$

or, 5(7+x) = 3(17+x)

or, 35+5x=51+3x

or, 5x-3x=51-35

or, 2x= 16

or, x= 16/2

or, x=8

The number that will be added is 8.

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