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16. write the decimal that is equivalent to \\(\frac{4}{5}\\). 17. roch…

Question

  1. write the decimal that is equivalent to \\(\frac{4}{5}\\).
  1. rochelle bought 20 trading cards, of which 13 were sports cards. write the decimal that shows what portion of the cards were sports cards.
  1. write a fraction that is equivalent to 0.20.
  1. there were a total of 24 cars in a parking lot. of those cars, 6 were blue. write a decimal that shows the numbers of cars that were blue.

Explanation:

Response
Question 16

Step1: Divide numerator by denominator

To convert the fraction \(\frac{4}{5}\) to a decimal, we perform the division \(4 \div 5\).

Step2: Calculate the division

\(4 \div 5 = 0.8\)

Step1: Identify the fraction

The portion of sports cards is \(\frac{13}{20}\) (since there are 13 sports cards out of 20 total cards).

Step2: Divide numerator by denominator

To convert \(\frac{13}{20}\) to a decimal, we do \(13 \div 20\).

Step3: Calculate the division

\(13 \div 20 = 0.65\)

Step1: Write the decimal as a fraction

\(0.20\) can be written as \(\frac{20}{100}\) (because the decimal is in the hundredths place).

Step2: Simplify the fraction

We simplify \(\frac{20}{100}\) by dividing both the numerator and the denominator by their greatest common divisor, which is 20. So, \(\frac{20\div20}{100\div20}=\frac{1}{5}\) (or we can also have \(\frac{2}{10}\) or \(\frac{20}{100}\) as equivalent fractions, but \(\frac{1}{5}\) is the simplified form).

Answer:

\(0.8\)

Question 17