Question

If the sum of two rational numbers -13/5 and 12/7 is divided by their difference taken in order,the the number so obtained is?​

Answer 1

-13/5= -2.6

12/7=1.714

difference between 2.6 and1.714 are = 1.723,1.732,1.741

Answer 2

Answer:

The sum divided by the difference between the two rational numbers  $\frac{-13}{5} , \frac{12}{7}$ = $\frac{31}{151}$

Step-by-step explanation:

Given,

Two rational numbers $\frac{-13}{5} , \frac{12}{7}$

To find,

The sum divided by the difference of the two rational numbers

Solution:

Sum of the two rational numbers =   $\frac{-13}{5} +\frac{12}{7}$

LCM(5,7) = 35

  $\frac{-13}{5} +\frac{12}{7}$ = $\frac{(-13X7)+(12X5)}{35}$

= $\frac{-91+60}{35}$

= $\frac{-31}{35}$

Sum of the two rational numbers = $\frac{-31}{35}$

The difference between the two rational numbers =   $\frac{-13}{5} -\frac{12}{7}$

= $\frac{(-13X7)-(12X5)}{35}$

= $\frac{-91-60}{35}$

=  $\frac{-151}{35}$

The difference between of the two rational numbers =  $\frac{-151}{35}$

The sum divided by difference between the two rational numbers $\frac{-13}{5} , \frac{12}{7}$

= $\frac{\frac{-31}{35} }{\frac{-151}{35} }$

= $\frac{31}{151}$

The sum divided by the difference between the two rational numbers  $\frac{-13}{5} , \frac{12}{7}$ = $\frac{31}{151}$

#SPJ2