Question

divide the sum of fraction 3/2and 5/7 by their difference.

Answer 1

Given,
3/2 and 5/7

Sum of fractions:-
3/2+5/7
=21/14+10/14
=(21+10)/14
=31/14

Difference:-
3/2-5/7
=21/14-10/14
=(21-10)/14
=11/14

Dividing the sum of fractions by their difference:-
=(31/14)/(11/14)
=31/14×14/11
=31/11

Answer is 31/11

Hope it helps

Answer 2

Concept Introduction:

Any quantity of equal portions is represented by a fraction, which also represents a portion of a whole. In ordinary English, a fraction refers to the number of components of a specific size.

Solution:

Given, $3/2$ and $5/7$

We have to divide the sum of the fraction of those two by their difference.

So, sum of the fraction

$3/2+5/7$

$= (21+10)/14$

$31/14$

Now, a difference of the fraction,

$3/2-5/7$

$=(21-10)/14$

$=11/14$

By dividing the two,

$(31/14)/(11/14)$

$=31/11$

Final Answer:

The final answer is $31/11$