Question

Simplify:
a. 15/2 +-11/3 + 6 + -7/6 + 9/8
b. 6/7 + 1 + -7/9 +-12/7 + 19/21​

Answer 1

Simply

a) 15/2 +(-11/3)+6+(-7/6)+9/8

=>15/2-11/3+6-7/6+9/8

=>(15/2+6 + 9/8) -(11/3 +7/6)

=>(Lcm of 2&8=8)

=> Lcm of 3&6=6

=> [(60+48+9)/8] - [(22+7)/6]

=> 117/8 - 29/6

=> Lcm of 8&6=24

=> (117-116)/24

=> 1/24.

b) 6/7 +1 +(-7/9)+ (-12/7)+19/21

=>6/7+1-7/9-12/7+19/21

=> (6/7+1+19/21) -(7/9+12/7)

=>[(18+21+19)/21] - [(49+108)/63]

=>58/21 - 157/63

=> (174-157)/63

=>17/63.