Worked example 1
Convert 0.45 to a fraction in simplest form.
Start by writing the calculation clearly: 0.45 = 45/100. The GCF of 45 and 100 is 5, so 45/100 = 9/20.
Answer: 9/20
Grade 6 Math · Topic 24
Converting Decimals to Fractions
Terminating decimals are just fractions in disguise. Look at the place value of the last digit — that tells you the denominator. Write the decimal digits over the matching power of 10, then simplify.
Lesson alignment: Prerequisite review · 5.NF.B.3 · Take your time. You can return to this lesson whenever you need it.
Explore visually
Write a decimal as a fraction
Separate the whole-number part from the hundredths, then simplify the fractional part.
Think first: For 2.60, what does the 2 represent, and how could you write 60 hundredths as a simpler fraction?
Ready? Reveal the model and try your prediction
Swipe horizontally to see the full diagram.
Turn on JavaScript to adjust this model. The examples and practice below work without it.
Follow the worked examples
Read each step, then cover the explanation and see if you can explain why it works.
Worked example 2
Convert 2.6 to a mixed number.
The whole number is 2. The decimal part 0.6 = 6/10 = 3/5. So 2.6 = 2 3/5.
Answer: 2 3/5
Try a few on your own
Work these on paper first. Open “Check” when you are ready to compare your answer.
- 0.3 =
Check
3/10
- 0.25 =
Check
1/4
- 0.6 =
Check
3/5
- 0.125 =
Check
1/8
- 0.8 =
Check
4/5
- 0.04 =
Check
1/25
- 1.5 =
Check
1 1/2
- 3.75 =
Check
3 3/4
Try this situation 1
A bottle holds 0.75 liter of water. Write this amount as a fraction in simplest form.
Show a worked solution
Answer: 3/4 liter.
Start by writing the calculation clearly: 0.75 = 75/100 = 3/4 (GCF 25).
Try this situation 2
A board is 4.2 feet long. Write the length as a mixed number in simplest form.
Show a worked solution
Answer: 4 1/5 feet.
Start by writing the calculation clearly: 0.2 = 2/10 = 1/5, so 4.2 = 4 1/5.
Fresh questions · saved on this device
Practice this skill
Try a fresh set each time. Answer one question, check your thinking, and read the explanation. If you miss one, return to the visual model and try another round.
Question 1 of 50 correct so far
Session complete
Check what you learned
Answer these five questions on your own. You can review the explanations after you submit and try again whenever you like. This short check is for practice, not a grade.
Practice and finish
Try the linked topic quiz for more practice. If something is tricky, return to the example and look for the step that changes the numbers or representation.
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More Grade 6 resources
Use these free materials if you want another explanation, extra paper practice, or a broader review.