Which fraction is equivalent to 40%? (in simplest fraction form)
Question
Answer:
Answer: 2/5 Step-by-step explanation:Percentage is parts of 100. This means that to find the quantity you would (in theory) split something up into 100 equal sized parts and then count out 40 of them.
Suppose we had 300 beads you would split this up into 100 lots of three beads. You would then select 40 of these lots giving a total of 40
×
3
=
120
beads.
Mathematically:
40
100
×
300
=
120
but 40
100
can be simplified as follows:
40
÷
20
100
÷
20
=
2
5
So in the example I gave 40% of 300 is in fact 2
5
×
300
In conclusion: the word part 'cent' in percent means 100. The word part 'per' in percent means 'for each'. So in effect your 40 percent (40%) means that for every 100 you select 40.
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10 months ago
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