Is my answer right? PLEASE ANSWER WITHIN 24 HOURS

Question

I was wondering if my answer is correct in this problem, it doesn't seem right but if it is i would like to know. My problem is:

5/7n-3/14=1/2

5/7n-3/14+14/3=1/2+14/3

5/7n=7/3 (simplified)

7/5*5/7n=7/3*7/5=49/15

Answer=49/15 or 3 and 4/15ths

Answer 1

No, answer is not correct, you can not add/subtract fractions unless they have the SAME NUMERATOR:

 

28 would be the common denominator.

Convert so all fractions have common denominator

20/28 n - 6/28 = 14/28

5/7 n - 3/14 = 1/2

 

7 goes into 28 four times (4); 4 * 5 = 20.

14 goes into 28 two times (2); 2 * 3 = 6

2 goes into 28 fourteen times (14); 14 * 1 = 14

 

Add 6/28 to both sides

20/28n - 6/28 + 6/28 = 14/28 + 6/28

20/28n = 20/28

 

Now you can multiply the reciprocal to each side (28/20)

Since they are the same 20/28, n = 1