Fractions, decimals and percents

To convert on the TEAS, divide the numerator by the denominator to get a decimal, multiply a decimal by 100 to get a percent, and write a decimal over a power of ten, then simplify, to get a fraction. This free lab checks each conversion exactly, marks repeating decimals and drills ordering mixed values.

What you do in this lab

  • Type any value, such as 3/8, 1 1/4, 0.375, 0.(3) or 37.5%, and see it as a simplified fraction, mixed number, decimal and percent with the steps.
  • Answer generated conversion items in practice mode with hints, or in exam style with one result at the end.
  • Put four or five mixed values in order by dragging them or with Move up and Move down buttons, then check each position.

TEAS details

  • Objectives: M.1.1 Representations; M.1.2 Rational arithmetic; M.1.3 Ordering; M.1.7 Estimation/rounding
  • ATI item formats practised: Fill in the blank, Ordered response
  • Practice mode gives hints and step-by-step feedback; exam style asks for the answer first and gives one all-or-nothing result, as the TEAS scores every item right or wrong.
  • In the book: Chapter 10, Put numbers on a meaningful scale; Chapter 11, Calculate, estimate and check

How do you convert between fractions, decimals and percents?

Every conversion is one of six moves. Learn them as pairs: dividing by 100 undoes multiplying by 100, and simplifying undoes writing a decimal over a power of ten.

  • Fraction to decimal: Divide the numerator by the denominator.: 3 ÷ 8 = 0.375
  • Decimal to percent: Multiply by 100: move the decimal point two places right.: 0.375 × 100 = 37.5%
  • Percent to decimal: Divide by 100: move the decimal point two places left.: 37.5% ÷ 100 = 0.375
  • Decimal to fraction: Write the digits over 10, 100 or 1,000, then simplify.: 0.375 = 375/1000 = 3/8
  • Percent to fraction: Write it over 100, clear any decimal, then simplify.: 37.5/100 = 375/1000 = 3/8
  • Mixed number to improper fraction: Whole number times denominator, plus numerator, over the same denominator.: 1 1/4 = (1 × 4 + 1)/4 = 5/4

What is 80% as a fraction?

80% means 80 per hundred, so start with 80/100. The greatest common factor of 80 and 100 is 20. Divide both by 20 to get 4/5. As a decimal, 80% is 0.8.

Use the same pattern for any percent: 25% = 25/100 = 1/4, 12.5% = 125/1000 = 1/8, and 150% = 150/100 = 3/2, or 1 1/2.

Why do some fractions become repeating decimals?

A fraction in lowest terms ends as a decimal only when its denominator has no prime factors other than 2 and 5. 3/8 ends (8 = 2 × 2 × 2), but 1/3 and 5/12 repeat because 3 is a prime factor of their denominators.

Write the repeating block with a bar: 1/3 = 0.3 with a bar over the 3, and 5/12 = 0.416 with a bar over the 6. In this lab you can type a repeating block in parentheses, as in 0.41(6). A rounded value such as 0.33 is close to 1/3 but not equal to it, so round only to the place a question asks for.

How do you put fractions, decimals and percents in order?

Change every value to the same form, usually a decimal, then compare place by place. Writing each one to the same number of decimal places helps: 0.600, 0.625, 0.620 and 0.065.

Two traps cost points. 0.065 is less than 0.6, even though 65 looks bigger than 6. And 5% is 0.05, not 0.5. On the TEAS, ordering can appear as an ordered-response item, where you drag four to six options into order and the item counts only if every one is in the right place.

How do these skills show up on the TEAS 7?

The TEAS 7 Math section has 38 questions in 57 minutes, and 34 of them are scored. ATI groups the scored math questions into Numbers and Algebra (18) and Measurement and Data (16). Converting and ordering numbers sit in Numbers and Algebra.

Expect them inside word problems as well as on their own. In a fill-in-the-blank item you type the answer with no options to choose from, and ATI says to follow the formatting instructions in the question exactly. For example, a question may ask for simplest form or a set number of decimal places.

What is 80% as a fraction?

80% = 80/100. Divide the top and bottom by their greatest common factor, 20, to get 4/5. As a decimal, 80% is 0.8.

Is 0.5 the same as 5%?

No. 0.5 is 50%, and 5% is 0.05. To change a decimal to a percent, multiply by 100, which moves the decimal point two places to the right.

How do I change a repeating decimal into a fraction?

Let x be the decimal. Multiply by 10 for each repeating digit so the repeating parts line up, subtract and solve. For 0.333…, 10x − x = 3, so 9x = 3 and x = 1/3.

How do I know if a fraction will repeat as a decimal?

Simplify it first. If the denominator has only 2s and 5s as prime factors, the decimal ends; otherwise it repeats. 7/20 ends (20 = 2 × 2 × 5), but 7/12 repeats (12 has a factor of 3).

Can I use a calculator on the TEAS math section?

Yes. ATI says a basic on-screen calculator is built into the exam and is available on every question in every section. It adds, subtracts, multiplies and divides, and has percent, square root, decimal point, backspace and memory keys. It is not a scientific or graphing calculator, and personal, phone and watch calculators are not allowed.

Should my answer be a fraction, decimal or percent?

Use the form the question asks for. ATI says to follow the formatting instructions in a fill-in-the-blank question exactly. If no form is named, any equivalent value is mathematically correct, and this lab accepts 0.5, 1/2 and 50% for the same value.

Keep going

Sources

Facts checked 2026-10-25. Practice items and data in this lab are original and invented; they are not real TEAS questions.

Independence

TEASPATH is independent of ATI. ATI TEAS® and TEAS® are registered trademarks of Assessment Technologies Institute, L.L.C., which is not affiliated with and does not endorse TEASPATH. Practice results are not official scores or admission predictions.

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