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Where fractions live

Idea 24of 24Builds onPercent means out of 100Multiply the top and bottom by the same number

One amount, three names: fraction, decimal, percent

How are 3/4, 0.75 and 75% the same?

Today you'll discover

  • how to split 100 squares into fourths
  • how to rename 3/4 in hundredths
  • the percents of common fractions

Think first3/4 of the grid is shaded

Which decimal names 3/4 of the grid?

Decide first, then press Next. Rename the fraction out of 100.

A hundred grid with three of its four 25-square corners shaded and 3/4 in a box above. The four parts are outlined with 25 in each, then 3/4 = 75/100 and 0.75 are written, then 75%. The last step shows 1/5 of the grid shaded.

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

The big idea

A fraction, a decimal and a percent can name one amount: 3/4 = 0.75 = 75%.

Worth knowing1/2 = 0.5 = 50%. 1/4 = 0.25 = 25%. 3/4 = 0.75 = 75%. 1/5 = 0.2 = 20%. 1/10 = 0.1 = 10%.

Easy to get wrong3/4 is not 0.34. The digits of a fraction do not become the digits of its decimal: rename it in hundredths.

Key word

benchmark percents
the percents of fractions worth knowing: 1/2 = 50%, 1/4 = 25%, 3/4 = 75%, 1/5 = 20%

Ready to use it?

  • Write a fraction as a decimal and a percent.
  • Match equal fractions, decimals and percents.
Practise this idea