Fractions, decimals and percentages
Write a fraction as an equivalent decimal and percentage.
Practice + answer key · 2 pages
Worksheet settings12 questions · 2 columns · A4
Paper size
Ratios & percentages
What you’ll practice
Convert a proper fraction that can be written in hundredths into decimal and percent forms.
A fraction, decimal and percentage can name the same amount. Rewrite the fraction in hundredths to see how, for example, 1/4 becomes 0.25 and 25%.
How this skill works
Divide the numerator by the denominator to write a decimal.
A fraction n/100 is n%. Simplifying the fraction changes its written form but not its value.
Worked example
Write 1/4 as a decimal and a percentage.
- 1/4 = 25/100.
- 25/100 = 0.25.
- 25 parts out of 100 is 25%.
Answer: 0.25; 25%
Teaching notes
- A decimal of 0.07 is 7%, not 70%.
- Use two decimal places when they help show hundredths.
Practice questions
- Write 51/100 as a decimal and a percentage.
- Write 8/25 as a decimal and a percentage.
- Write 71/100 as a decimal and a percentage.
- Write 91/100 as a decimal and a percentage.
- Write 39/50 as a decimal and a percentage.
- Write 27/100 as a decimal and a percentage.
- Write 43/100 as a decimal and a percentage.
- Write 19/25 as a decimal and a percentage.
- Write 67/100 as a decimal and a percentage.
- Write 9/50 as a decimal and a percentage.
- Write 17/100 as a decimal and a percentage.
- Write 2/25 as a decimal and a percentage.
Answers and steps
- 0.51; 51%
- 51/100 = 51/100 = 0.51 = 51%.
- 0.32; 32%
- 8/25 = 32/100 = 0.32 = 32%.
- 0.71; 71%
- 71/100 = 71/100 = 0.71 = 71%.
- 0.91; 91%
- 91/100 = 91/100 = 0.91 = 91%.
- 0.78; 78%
- 39/50 = 78/100 = 0.78 = 78%.
- 0.27; 27%
- 27/100 = 27/100 = 0.27 = 27%.
- 0.43; 43%
- 43/100 = 43/100 = 0.43 = 43%.
- 0.76; 76%
- 19/25 = 76/100 = 0.76 = 76%.
- 0.67; 67%
- 67/100 = 67/100 = 0.67 = 67%.
- 0.18; 18%
- 9/50 = 18/100 = 0.18 = 18%.
- 0.17; 17%
- 17/100 = 17/100 = 0.17 = 17%.
- 0.08; 8%
- 2/25 = 8/100 = 0.08 = 8%.