Question

Simplify:

`5/6-3/5(1/3+2/11)`

Answer 1

`5/6-3/5(1/3+2/11)=5/6-3/5((11+6)/33)`

= `5/6-3/5xx17/33=5/6-17/55`

= `(275-102)/330=173/330`

Answer 2

Simplify the innermost brackets:

`1/3 + 2/11 = 11/33+6/33 = 17/33`

Multiply by `3/5`

`3/5xx17/33 = 51/165 = 17/55`

Subtract from `5/6: "Rewrite"  5/6 and 17/55` with a common denominator:

LCD of 6 and 55 is 330.

`5/6 = 275/33, 17/55 = 102/330`

Perform the subtraction:

`275/330 - 102/330 = 173/330`