Question

Divide the sum of2/3 and -1/7 by their difference. Please very urgent​

Answer 1

Answer:

11/17

Step-by-step explanation:

First, we'll need to find the difference of the two fractions.

1. ⅔-(-⅐)
2. ⅔+⅐
3. LCM of 3 and 7 (denominators) is 21.
4. Making them equivalent fractions with the same denominators, we get ⅔*7/7 and ⅐*3/3
5. Solving these, we get 14/21+3/21.
6. This results in a value of 17/21.

Now, we need to find the sum of these fractions.

1. We can use the like fractions that we've already found.
2. So, 14/21+(-3/21) is what we need to find.
3. 14/21-3/21.
4. This results in 11/21.

Now, we need to divide the sum by the difference.

1. (11/21)/(17/21)
2. 11/21*21/17 [Because when we change the operation from division to multiplication, we need to multiply the 1st fraction with the 2nd fraction's reciprocal.]
3. 11/17 is the resulting answer.

• In the last step, the 21's get cancelled.