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

Answer

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

To prove

As given

$The\ product\ of\ two\ positive\ fractions\ a\ and\ b\ is\ \frac{15}{56} .$

i.e it is written in the form.

$a\times b = \frac{15}{56}$

When

$a = \frac{3}{2} , b = \frac{5}{28}$

Than

$\frac{3\times 5}{2\times 28} = \frac{15}{56}$

When

$a = \frac{3}{4} , b = \frac{5}{14}$

Than

$\frac{3\times 5}{4\times 14} = \frac{15}{56}$

When

$a = \frac{1}{2} , b = \frac{15}{28}$

Than

$\frac{1\times 15}{2\times 28} = \frac{15}{56}$

Hence proved