Question

1 2/3+ -2 3/4=
Write the answer and how you got it

Answer 1

·Answer:
`-1(1)/(12)`

Explanation:

Problem:
`1(2)/(3) +-2(3)/(4)`

Convert
`1(2)/(3)` to an improper fraction. Use this rule:
`a(b)/(c) = (ac+b)/(c)`

`(3+2)/(3) - 2(3)/(4)`

Simplify 3 + 2 to 5

`(5)/(3) -2(3)/(4)`

Simplify
`2(3)/(4)` to an improper fraction. Use this rule:
`a(b)/(c) = (ac+b)/(c)`

`(5)/(3) -(2*4+3)/(4)`

Simplify 2 x 4 to 8

`(5)/(3) -(8+3)/(4)`

Simplify 8 + 3 to 11

`(5)/(3) -(11)/(4)`

Find the Least Common Denominator (LCD) of
`(5)/(3),(11)/(4)`

LCD = 12

Simplify. Denominators are now the same.

`(20)/(12) -(33)/(12)`

Join the denominators

`(20-33)/(12)`

Simplify

`-(13)/(12)`

Convert to mixed fraction

`-1(1)/(12)`