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Lena [83]
3 years ago
8

How do you make 16 over 2000 a percent?

Mathematics
1 answer:
yanalaym [24]3 years ago
8 0

We must multiply both numerator and denominator by a number such that the new denominator is 100.

So, we want to perform the following transformation:

\dfrac{16}{2000} \to \dfrac{16x}{2000x} = \dfrac{16x}{100}

So, in particular, we want 2000x = 100, which yields

x = \dfrac{100}{2000} = \dfrac{1}{20}

We also have to multiply the numerator by that quantity, obtaining

16 \cdot \dfrac{1}{20} = \dfrac{16}{20} = \dfrac{4}{5} = 0.8

So, the answer is

\dfrac{16}{2000} =\dfrac{16\cdot\frac{1}{20}}{2000\cdot\frac{1}{20}} =\dfrac{0.8}{100}

Which means that 16 over 2000 is 0.8%

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