Question

If the product of two positive fractions a and b is 15/56, find three pairs for possible values for a and b

Answer 1

all you have to do is find pairs of factor for both 15 and 56
e.g. 1,15 3,5
1.56 2, 28 4, 14

so three possibilities could be
1/1 x 15/56
3/4 x 5/14
1/2 x 15/28

Answer 2

Find out the three pairs for possible values for a and b .

To prove

As given

`The\ product\ of\ two\ positive\ fractions\ a\ and\ b\ is\ (15)/(56) .`

i.e it is written in the form.

`a* b = (15)/(56)`

When

`a = (3)/(2) , b = (5)/(28)`

Than

`(3* 5)/(2* 28) = (15)/(56)`

When

`a = (3)/(4) , b = (5)/(14)`

Than

`(3* 5)/(4* 14) = (15)/(56)`

When

`a = (1)/(2) , b = (15)/(28)`

Than

`(1* 15)/(2* 28) = (15)/(56)`

Hence proved