×

Hello! Socratic's Terms of Service and Privacy Policy have been updated, which will be automatically effective on October 6, 2018. Please contact hello@socratic.com with any questions.

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

1 Answer
Mar 9, 2018

Answer:

See a solution process below:

Explanation:

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

Therefore 1% can be written as #1/100#.

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

We can then write the expression as:

#1/5 xx 1/100 => (1 xx 1)/(5 xx 100) => 1/500#

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

#2/2 xx 1/500 => (2 xx 1)/(2 xx 500) => 2/1000#

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