pronoun
1
BAD : Rio has another important sights such as the famous football stadium.
GOOD : Rio has other important sights such as the famous football stadium.
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another + singular: 'another child'
other + plural: 'other children'
2
BAD : He gave the class another homework.
GOOD : He gave the class some more homework.
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another + singular countable noun: 'We need another chair.'
(some) more + uncountable noun: 'We need (some) more furniture.'
3
BAD : I hate horror films. Let's watch another.
GOOD : I hate horror films. Let's watch something else.
BAD : If Henry is busy, get another man to help you.
GOOD : If Henry is busy, get someone else to help you.
BAD : Can't you use another's computer?
GOOD : Can't you use someone else's computer?
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When you mean 'a different person/thing/place', use someone else, something else, somewhere else : 'I got fed up with the job and decided to do something else.'
4
BAD : There is also another point that is worth mentioning.
GOOD : There is another point that is worth mentioning.
BAD : Also another way to lose weight is to eat less.
GOOD : Another way to lose weight is to eat less.
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another (NOT also another ): 'Another problem, of course, is finding a job.'
5
BAD : Families fall into two categories. One is the composite family; another is the nuclear family.
GOOD : Families fall into two categories. One is the composite family; the other is the nuclear family.
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When you are talking about two people or things, use the other (NOT another ): 'One of the twins is called Youki and the other is called Azusa.'
6
BAD : Without a car, it takes a long time to get from a place to another.
GOOD : Without a car, it takes a long time to get from one place to another.
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from one ... to another (NOT from a/an ... to another ): 'The job involves travelling from one country to another.'