Question

Divide the sum of -2(15/17) and 3(5/34) by their difference.
Thanks in advance
​

Answer 1

SOLUTION

TO DETERMINE

Divide the sum of $\displaystyle \sf{ - 2 \bigg( \frac{15}{17} \bigg) \: \: and \: \: 3 \bigg( \frac{5}{34} \bigg)}$ by their difference.

EVALUATION

Here the given numbers are

$\displaystyle \sf{ - 2 \bigg( \frac{15}{17} \bigg) \: \: and \: \: 3 \bigg( \frac{5}{34} \bigg)}$

First number

$\displaystyle \sf{ - 2 \bigg( \frac{15}{17} \bigg)}$

$= \displaystyle \sf{ - \frac{49}{17} }$

Second number

$\displaystyle \sf{ = 3 \bigg( \frac{5}{34} \bigg)}$

$\displaystyle \sf{ = \frac{107}{34} }$

Sum of the numbers

$\displaystyle \sf{ = - \frac{49}{17} + \frac{107}{34} }$

$\displaystyle \sf{ = \frac{9}{34} }$

Difference of the numbers

$\displaystyle \sf{ = - \frac{49}{17} - \frac{107}{34} }$

$\displaystyle \sf{ = - \frac{205}{34} }$

Hence the required result

$\displaystyle \sf{ = \frac{9}{34} \div \frac{ - 205}{34} }$

$\displaystyle \sf{ = - \frac{9}{205} }$

━━━━━━━━━━━━━━━━

Learn more from Brainly :-

1. Y is multiplied by 7 and result is subtracted from 13

https://brainly.in/question/36490122

2. Which mathematical statement represents “17 more than a number is 26”?

https://brainly.in/question/32903425

Answer 2

Given :

Divide the sum of -2(15/17) and 3(5/34) by their difference.

Solution:

First, let's do the sum of -2(15/17) and 3(5/34)

$= > - 2 \dfrac{15}{17} + 3 \dfrac{5}{34}$

changing mixed fractions into improper fractions.

$= > \dfrac{ - 49}{17} + \dfrac{107}{34}$

$= > \dfrac{ - 98 + 107}{34}$

$= > \dfrac{9}{34}$

Now, Subtract -2(15/17) and 3(5/34)

$= > - 2 \dfrac{15}{17} - 3 \dfrac{5}{34}$

changing mixed fractions into improper fractions.

$= > \dfrac{ - 49}{17} - \dfrac{107}{34}$

$= > \dfrac{ - 98 - 107}{34}$

$= > \dfrac{ - 205}{34}$

Now, diving both of the answers:

$= > \dfrac{9}{34} \div \dfrac{ - 205}{34}$

$= > \dfrac{9}{34} \times \dfrac{34}{ - 205}$

$= > - \dfrac{9}{205}$

Hence, the required answer is: -9/205