# What is the decimal equivalent of 1/5 of 1%?

## The alternatives are as follows a. 0.2 b. 0.5 c. 0.02 and d. 0.002

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Mar 9, 2018

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#### Explanation:

"Percent" or "%" means "out of 100" or "per 100",

Therefore 1% can be written as $\frac{1}{100}$.

Additionally, in this context with fractions the word "of" means to multiply.

We can then write the expression as:

$\frac{1}{5} \times \frac{1}{100} \implies \frac{1 \times 1}{5 \times 100} \implies \frac{1}{500}$

We can now multiply this by a form of $1$ giving:

$\frac{2}{2} \times \frac{1}{500} \implies \frac{2 \times 1}{2 \times 500} \implies \frac{2}{1000}$

2 one-thousandths can be written as: 0.002 which is answer d) in the question.

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