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Express the ratio 16 days to 4 weeks as a fraction in simplest form.

2 Answers

4 votes

16/4 is equivalent to 4/1 because the greatest common factor or g.c.f. is 4 so 16 divided by 4 is equals 4 and 4 divided by 4 is 1 so 4/1

User Esosa
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5.3k points
4 votes

We presume you want a fraction that is a pure number, so both units of time need to be the same.

... (16 days)/(4 weeks) = (16 days)/(28 days) = 16/28 = 4/7

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Comment on reducing fractions

Some calculators will reduce fractions for you. When you do it without benefit of a calculator, it helps immensely if you know your times tables. Here,

... 16 = 4×4

... 28 = 4×7

so ...

... 16/28 = (4×4)/(4×7)

... = (4/4)×(4/7)

... = 1×(4/7) = 4/7

User Werner Lehmann
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5.5k points