TEAS 7 Fractions & Decimals: The Only Guide You Need
By Dr. Priya Sharma, Pharm.D. · Updated April 13, 2026
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.
📑 In This Guide
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:
- Converting between fractions, decimals, and percentages
- Adding/subtracting fractions with unlike denominators
- Multiplying fractions
- Dividing fractions (the dreaded "flip and multiply")
- Ordering decimals and fractions from least to greatest
- 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
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:
- Find the LCD (Least Common Denominator) — the smallest number both denominators divide into evenly.
- Convert each fraction — multiply numerator and denominator by whatever makes the denominator equal the LCD.
- 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)
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
Tenths — Hundredths — Thousandths
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
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 |
|---|---|---|
| 1-2 | Conversions (frac ↔ dec ↔ %) | 20 problems/day |
| 3 | Adding/subtracting with LCD | 15 problems |
| 4 | Multiplying + cross-canceling | 15 problems |
| 5 | Dividing (KCF) + mixed numbers | 15 problems |
| 6 | Ordering + rounding | 15 problems |
| 7 | Mixed review — all 6 types | 25 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.
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