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Idea 18of 22Builds onHow many out of how many

As a fraction, a decimal or a percent

How can one relative frequency be written three ways?

Today you'll discover

  • how to turn a fraction into hundredths
  • hundredths as a decimal
  • hundredths as a percent

Think first10/25 take the bus

10/25 of the students take the bus. What is that as a percent?

Decide first, then press Next. Make the bottom number 100 first.

The travel table: bus 10, walk 8, car 5, bike 2, out of 25. Beside the fractions, a decimal column appears: 0.40, 0.32, 0.20, 0.08, and a percent column: 40%, 32%, 20%, 8%; the total row reads 1 and 100%. The last step shows the sports table: soccer 7, hockey 5, swimming 4, basketball 4, out of 20.

See the whole ideathe big idea and the key word, in one place

The big idea

One relative frequency can be a fraction, a decimal or a percent: 10/25 = 0.40 = 40%.

Through hundredths

Make the bottom 100, then read it as hundredths: a decimal, and a percent.

  1. fraction10/25
  2. hundredths40/100
  3. decimal0.40
  4. percent40%

Easy to get wrong0.4 and 0.40 are the same: 4 tenths is 40 hundredths, which is 40%, not 4%.

Key word

percent
out of 100: 40% means 40 out of every 100

Ready to use it?

  • Write a relative frequency as a fraction, a decimal and a percent.
Practise this idea