Question

Divide the sum of 12/25 and -13/50 by their difference

Answer 1

Answer :-

• The required number is 11/37.

What to do?

• Divide the sum of 12/25 and -13/50 by their difference.

Step-by-step explanation :-

• Before finding out our answer, let's find the sum of 12/25 and -13/50!

Sum of 12/25 and -13/50 :-

$\longmapsto\rm \dfrac{12}{25} + \dfrac{ - 13}{ \: \: \: 50}$

Finding the LCM of 25 and 50,

$\longmapsto\rm \dfrac{(12 \times 2) + ( - 13 \times 1)}{50}$

$\longmapsto\rm \dfrac{24 - 13}{50}$

$\longmapsto \rm\dfrac{11}{50}$

-----------------------------------------------------------

• Now, let's find the difference of 12/25 and -13/50!

Difference of 12/25 and -13/50 :-

$\longmapsto \rm\dfrac{12}{25} - \dfrac{ - 13}{ \: \: \: 50}$

Finding the LCM of 25 and 50,

$\longmapsto\rm\dfrac{(12 \times 2) - ( - 13 \times 1)}{50}$

$\longmapsto\rm \dfrac{24 + 13}{50}$

$\longmapsto\dfrac{37}{50}$

_____________________

• Finally, let's divide the sum of 12/25 and -13/50 [11/50] by their difference [37/50]

$\longmapsto\bf \dfrac{11}{50} \div \dfrac{37}{50}$

$\longmapsto\bf \dfrac{11}{ \cancel{50} } \times \dfrac{ \cancel{50}}{37}$

Cancelling the numbers,

$\longmapsto\bf\dfrac{11}{1} \times \dfrac{1}{37}$

$\longmapsto\bf\dfrac{11}{37}$

Hence :-

• Our answer is 11/37.

________________________________

Answer 2

Answer:

11 by 37

Explanation:

11 by 37 is correct answer