Question

Find the different positive fractions whose denominators are 3 and 5 and whose sum is
$\frac{1}{15}$







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Answer 1

1/10 and 1/6 are the different positive fractions whose denominators are 3 and 5 and whose sum is 1/15.

Given,

Denominators of two positive fractions are 3 and 5.

The sum of these fractions is 1/15.

Let the numerators be x and y respectively.

Then, we have,

x/3 + y/5 = 1/15

( 5x + 3y ) / 15 = 1 / 15

5x + 3y = 1

We need to find x and y such that, the above equation equals to one.

Let us consider first term,

If, 5x = 1/2

Then, x = 1/0

If, 3y = 1/2

Then, y = 1/6

Now, we get,

5x + 3y = 1

5 (1/10) + 3 (1/6)

= 5/10 + 3/6

= 1/2 + 1/2

= 1

Hence the condition is satisfied, if x = 1/10 and y = 1/6.

Therefore the required positive fractions are 1/10 and 1/6.

Answer 2

Step-by-step explanation:

I hope it is helpful..

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