Fraction Classroom · 2.2.0 · Student pages
Choose the denominator when turning a decimal into a fraction
Use the last named place to choose tenths or hundredths, and check that the fraction keeps the same value.
Anonymous group code: __________ Date: __________
Discuss the opening question
Work through the explanation
example. Why is 0.35 equal to 35/100 rather than 35/10?
- Read 0.35 as three tenths and five hundredths. Rename the three tenths as thirty hundredths.
- Combine the parts: thirty hundredths plus five hundredths makes thirty-five hundredths. Write 35/100.
- Read the denominator as the unit: one hundred equal parts make the whole, and thirty-five are selected. Keep 35/100 as the decimal fraction; simplifying is not needed for this task.
- Check the magnitude. 0.35 is below one, but 35/10 is 3.5, above three. A denominator choice that changes the size cannot be right.
Worked example: 0.35 means thirty-five hundredths. The final digit is in the hundredths place, so the written decimal fraction is 35/100.
Practise, then check independently
Use p1–p3 for practice. Try e1 without help. Show how your place-value units or model support the result.