( (3)/(4) - (2)/(3) ) * 1 (1)/(5) ​

Question

`( (3)/(4) - (2)/(3) ) * 1 (1)/(5)`
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Answer 1

Answer: 0.1 or 1/10

Explanation:

`\left((3)/(4)-(2)/(3)\right)\cdot \:1(1)/(5)`

`1(1)/(5)=(6)/(5)`

`\left((3)/(4)-(2)/(3)\right)\cdot (6)/(5)`

`(3)/(4)-(2)/(3)`
`=(9)/(12)-(8)/(12)`

`=(1)/(12)`

`(6)/(5)\cdot (1)/(12)`

Cross, cancel common factor

`(1)/(2)\cdot (1)/(5)`

`=(1)/(10)`