Grade 6 Math · Topic 37

Fractions, Decimals, and Percents

Fractions, decimals, and percents are three different outfits for the same number. Switching between them is a core skill — and once you know two simple shortcuts, you can hop between any two forms instantly.

Lesson alignment: 6.RP.A.3.c · Take your time. You can return to this lesson whenever you need it.

Explore visually

Connect a fraction, decimal, and percent

Keep one amount while moving from a fraction bar to a decimal and a percent out of 100.

Think first: If 7/8 of the whole is shaded, about what percent is that? Where will its decimal point sit?

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 1

Convert 3/8 to a percent.

Start by writing the calculation clearly: 3 ÷ 8 = 0.375. Then 0.375 × 100 = 37.5%.

Answer: 37.5%

Worked example 2

Convert 0.04 to a percent and to a fraction.

Percent: 0.04 × 100 = 4%. Fraction: 4/100 = 1/25.

Answer: 4% or 1/25

Try a few on your own

Work these on paper first. Open “Check” when you are ready to compare your answer.

  1. 0.7 = ________ %
    Check

    70%

  2. 0.08 = ________ %
    Check

    8%

  3. 45% = ________ (decimal)
    Check

    0.45

  4. 2/5 = ________ %
    Check

    40%

  5. 7/25 = ________ %
    Check

    28%

  6. 60% = ________ (fraction)
    Check

    3/5

  7. 125% = ________ (decimal)
    Check

    1.25

  8. 1/8 = ________ %
    Check

    12.5%

Try this situation 1

In a survey, 3/5 of students chose pizza. What percent is that?

Show a worked solution

Answer: 60%.

Start by writing the calculation clearly: 3/5 = 60/100 = 60%.

Try this situation 2

A store says “0.25 off everything.” Express this discount as a percent and as a fraction.

Show a worked solution

Answer: 25%, or 1/4.

Start by writing the calculation clearly: 0.25 × 100 = 25% and 25/100 = 1/4.

Fresh questions · saved on this device

Practice this skill

12 question pool

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.

Choose a session length

Your practice results stay in this browser and appear in the course progress report.

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.

1. Which decimal is equivalent to 7/8?

2. What fraction in simplest form equals 0.4?

3. Convert 68% to a decimal.

4. Convert 45% to a decimal.

5. Convert 0.875 to a percent.

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.

Open the practice quiz

Your checkmark, skill-practice sessions, and best exit-check score are saved on this browser and device. The course page can download a progress report to share with a tutor or teacher.

More Grade 6 resources

Use these free materials if you want another explanation, extra paper practice, or a broader review.

Browse free Grade 6 topic lessons ↗Print Grade 6 worksheets ↗Review Grade 6 flashcards ↗Open the formula review ↗Try the Factors, Multiples & Percents quiz ↗Try a full practice test ↗