TEAS 7 Fractions & Decimals: The Only Guide You Need

By Dr. Priya Sharma, Pharm.D. · Updated April 13, 2026

Student studying fractions and decimals for TEAS 7 Math

Fractions and decimals make up roughly 25% of the TEAS 7 Math section. If you can nail these, you've already banked a quarter of your math score before touching algebra.

Here's what most TEAS prep courses won't tell you: fractions and decimals aren't "one topic." They're actually six distinct question types, and each one has a specific shortcut. If you're spending hours reading a general math textbook, you're wasting time on content that won't appear on the test. For a full overview of the math section, check out our Ultimate TEAS 7 Study Guide.

In this guide, we'll break down every fraction and decimal question type you'll see on the TEAS 7, show you exactly how to solve each one, and give you the shortcuts that save 30+ seconds per question. You can test your current level with our free TEAS practice quiz.

💡 Tutor’s Tip: I've tutored 300+ TEAS students, and fractions are the single topic where students improve the fastest. Why? Because there are only 4-5 "moves" the test can ask you to make. Once you memorize those moves, every fraction question becomes the same problem wearing a different costume.

📑 In This Guide

  1. The 6 Question Types
  2. Converting Fractions ↔ Decimals ↔ %
  3. Adding & Subtracting (LCD)
  4. Multiplying Fractions
  5. Dividing — Keep, Change, Flip
  6. Ordering Fractions & Decimals
  7. Rounding Decimals
  8. The #1 Mistake
  9. 1-Week Study Plan

The 6 Fraction & Decimal Question Types on the TEAS 7

Every single fraction/decimal question on the TEAS falls into one of these categories. If you can solve all six, you'll never miss a fraction question again:

  1. Converting between fractions, decimals, and percentages
  2. Adding/subtracting fractions with unlike denominators
  3. Multiplying fractions
  4. Dividing fractions (the dreaded "flip and multiply")
  5. Ordering decimals and fractions from least to greatest
  6. Rounding decimals to a specified place value

Type 1: Converting Between Fractions, Decimals, and Percentages

This is the highest-frequency question type. The TEAS loves to give you a value in one form and ask for the equivalent in another. Here's the conversion triangle you need to memorize:

The Conversion Rules (Memorize These):

  • Fraction → Decimal: Divide top by bottom. Example: 3/8 = 3 ÷ 8 = 0.375
  • Decimal → Percentage: Move the decimal point 2 places RIGHT. Example: 0.375 → 37.5%
  • Percentage → Decimal: Move the decimal point 2 places LEFT. Example: 62.5% → 0.625
  • Decimal → Fraction: Put the number over its place value, then simplify. Example: 0.75 = 75/100 = 3/4
💡 Tutor’s Tip: Memorize these 8 fraction-decimal pairs cold — they appear on nearly every TEAS exam: 1/8=0.125, 1/4=0.25, 1/3=0.333, 3/8=0.375, 1/2=0.5, 5/8=0.625, 2/3=0.667, 3/4=0.75. Flash these daily for one week and you'll save 30+ seconds per conversion question.

Worked Example

Question: Convert 7/20 to a percentage.

Step 1: Fraction → Decimal: 7 ÷ 20 = 0.35

Step 2: Decimal → Percentage: 0.35 → move decimal 2 places right → 35%

Answer: 35%

Type 2: Adding & Subtracting Fractions with Unlike Denominators

This is where most students lose points — not because it's hard, but because they skip the critical first step. You can't add fractions unless they share the same denominator. Period.

The 3-Step Process:

  1. Find the LCD (Least Common Denominator) — the smallest number both denominators divide into evenly.
  2. Convert each fraction — multiply numerator and denominator by whatever makes the denominator equal the LCD.
  3. Add or subtract the numerators — keep the denominator the same. Simplify if possible.

Worked Example

Question: Solve: 2/3 + 1/4

Step 1: LCD of 3 and 4 = 12

Step 2: 2/3 = 8/12 (multiply top and bottom by 4) | 1/4 = 3/12 (multiply top and bottom by 3)

Step 3: 8/12 + 3/12 = 11/12

Answer: 11/12

Type 3: Multiplying Fractions

Good news — multiplying fractions is actually the easiest operation. No LCD needed.

The Rule: Multiply straight across. Top × Top. Bottom × Bottom. Then simplify.

Example: 3/5 × 2/7 = (3×2) / (5×7) = 6/35

Pro shortcut — Cross-cancel first: Before multiplying, check if any numerator shares a factor with any denominator. Cancel before you multiply to keep numbers small. Example: 4/9 × 3/8 — the 4 and 8 share a factor of 4 (cancel to 1/2), the 3 and 9 share a factor of 3 (cancel to 1/3). So: 1/3 × 1/2 = 1/6.

Type 4: Dividing Fractions — "Keep, Change, Flip"

Here's the mnemonic that saves every student's life on the TEAS:

🧠 Keep — Change — Flip (KCF)

Keep the first fraction. Change ÷ to ×. Flip the second fraction. Then multiply.

Worked Example

Question: Solve: 5/6 ÷ 2/3

Keep: 5/6

Change: ÷ becomes ×

Flip: 2/3 becomes 3/2

Multiply: 5/6 × 3/2 = 15/12 = 5/4 = 1 1/4

Answer: 1 1/4 (or 1.25)

📋 From the Tutor's Desk: Last month, a student named Jasmine came to me scoring 45% on TEAS Math practice tests. She was convinced she "couldn't do fractions." Turns out, she'd been making the same error for years: when dividing fractions, she was flipping the first fraction instead of the second. One 10-minute correction session later, she stopped missing every single division problem. On her real TEAS, she scored an 82% in Math. The fix was literally one sentence: "Flip the second one."

Type 5: Ordering Fractions and Decimals

The TEAS will give you a list of values in mixed formats (some fractions, some decimals, maybe a percentage) and ask you to arrange them from least to greatest or greatest to least.

The trick: Convert everything to decimals first. Then ordering becomes trivially easy.

Example: Order from least to greatest: 3/8, 0.4, 1/3, 35%

Convert all to decimals: 3/8 = 0.375 | 0.4 = 0.4 | 1/3 = 0.333 | 35% = 0.35

Answer: 1/3, 35%, 3/8, 0.4 (0.333, 0.35, 0.375, 0.4)

Type 6: Rounding Decimals

These are free points — but only if you know the place value names. The TEAS will say "round to the nearest hundredth" and expect you to know that's the second digit after the decimal point.

Place Value Quick Reference:

1 . T H Th

TenthsHundredthsThousandths

The Rule: Look at the digit ONE place to the RIGHT of where you're rounding to. If it's 5 or more, round up. If it's 4 or less, keep it the same.

Example: Round 3.7461 to the nearest hundredth.

Hundredths place = 4. Look right → 6 (which is ≥ 5, so round UP).

Answer: 3.75

💡 Tutor’s Tip: The biggest rounding mistake I see? Students confusing "tenths" with "tens." Tenths = 1 decimal place (0.X). Tens = the tens column in whole numbers (X0). The TEAS loves exploiting this confusion. Read the question twice.

The #1 Mistake That Costs Easy Points

Here it is: not simplifying your final answer.

The TEAS will frequently offer both 6/8 and 3/4 as answer choices. Both are mathematically "correct," but only the simplified version (3/4) is the right answer choice. If you solve the problem perfectly but don't reduce your fraction, you'll pick the wrong bubble.

Always check: Can I divide both the numerator and denominator by the same number? If yes, do it. Keep going until you can't anymore.

Your 1-Week Fractions & Decimals Study Plan

Day Focus Practice
1-2Conversions (frac ↔ dec ↔ %)20 problems/day
3Adding/subtracting with LCD15 problems
4Multiplying + cross-canceling15 problems
5Dividing (KCF) + mixed numbers15 problems
6Ordering + rounding15 problems
7Mixed review — all 6 types25 problems (timed)

Ready to Level Up?

Fractions and decimals are the foundation for everything else on the TEAS Math section. Once you've locked these down, your next step should be Ratios & Proportions — they build directly on the fraction skills you just learned. And if you want to see the full math landscape, check out our How to Pass TEAS 7 Math overview.

If fractions still feel confusing after working through this guide, don't struggle alone. Sometimes a 30-minute session with a tutor who can watch you work through problems and catch your specific error pattern is worth more than weeks of solo studying.


📱

Self-Study Portal — Pass the TEAS 7 in 14 Days

28 structured lessons, 100+ flashcards with spaced repetition, full practice test, mistake tracking, predicted score, and 16 study tools — all for $29/mo.

Try Free Preview →

Frequently Asked Questions

How many fraction and decimal questions are on the TEAS 7?
Fractions and decimals appear in approximately 8-12 of the 38 Math questions. They show up as standalone problems and as components of multi-step word problems involving dosage calculations, ratios, and measurement conversions.
Can I use a calculator for fraction questions on the TEAS?
Yes. The ATI on-screen calculator is available for all Math questions. However, the calculator does not handle fractions natively — you must convert fractions to decimals before entering them, or use division (numerator ÷ denominator).
What is the fastest way to convert fractions to decimals?
Divide the numerator by the denominator. For common fractions, memorize the equivalents: 1/4 = 0.25, 1/3 = 0.333, 1/2 = 0.5, 3/4 = 0.75. For mixed numbers, convert the fraction part only and add it to the whole number.
Do I need to know how to add fractions with unlike denominators?
Yes. This is one of the most commonly tested skills. You must find the Least Common Denominator (LCD), convert each fraction, then add or subtract the numerators. Practice finding the LCD quickly — it saves significant time on the test.
What decimal place values are tested on the TEAS 7?
The TEAS tests tenths, hundredths, and thousandths. You need to know how to round decimals to a specified place value, compare decimals of different lengths (e.g., 0.5 vs 0.45), and convert between decimals, fractions, and percentages.

📚 TEAS 7 Study Resources

Find TEAS Prep Near You

Stop Guessing on Fraction Questions

Our TEAS Math tutors identify your exact error patterns and fix them — usually in 2-3 sessions. Most students gain 15+ percentage points.

Book a Free Consultation