(2)/(3\\) +(5)/(7)+(7)/(3) -(12)/(7) +(1)/(5\\)

Question

`(2)/(3\\) +(5)/(7)+(7)/(3) -(12)/(7) +(1)/(5\\)`

Answer 1

The answer is 2 and 1/5. The improper way of writing this would be 11/5

Answer 2

Reorganize by writing all the numerators over the common denominator

= 2+7/3 + 5-12/7 +1/5
= 9/3 + -7/7 + 1/5
= 3 - 1 + 1/5

Convert all terms into fractions and multiply by the LCM

3/1 - 1/1 + 1/5
= 15/5 - 5/5 + 1/5
= 11/5