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Grade 5 · Number · Fractions, Decimals, and Percents

Connect Fractions, Decimals, and Percents

Fractions, decimals, and percents can name the same amount. Each form is useful in a different situation.

The big idea

Equivalent forms share one location on the number line

Three quarters, 0.75, and 75% all describe 75 out of 100 equal parts. Changing the notation does not change the amount.

Work it through

Show that 3/4 = 0.75 = 75%

  1. 1. Rename fourths as hundredths: 3/4 = 75/100.
  2. 2. Write 75 hundredths as a decimal: 0.75.
  3. 3. Percent means out of 100, so 75/100 = 75%.