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Converting Fractions ↔ Decimals ↔ Percents

M.1.1 - Essential Foundation for TEAS 7 Math

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🎯 Quick Start: This lesson covers the fundamental conversions between fractions, decimals, and percents that you'll encounter throughout the TEAS 7 math section. Master these conversions to build a strong foundation for more complex problems.

Choose Your Learning Path

Click any topic to start learning. Follow the recommended order for best results!

🎯Welcome to Conversions: Your TEAS 7 Foundation

🚀 Why This Matters for TEAS 7

These 6 conversion skills appear in in many math questions on the TEAS 7. Master them once, use them everywhere!

Real TEAS 7 Examples: Medication dosages, patient statistics, lab results, success rates, and proportion problems all require these conversions.

🎯 Quick Preview: Try These Examples

Each example represents one of the 6 conversion types you'll master. Give them a try!

Decimal → Percent

Convert $0.6$ to percent

Answer: $60\%$

$0.6 \times 100 = 60\%$

Percent → Decimal

Convert $25\%$ to decimal

Answer: $0.25$

$25\% \div 100 = 0.25$

Fraction → Decimal

Convert $\frac{3}{4}$ to decimal

Answer: $0.75$

$\frac{3}{4} = 3 \div 4 = 0.75$

Decimal → Fraction

Convert $0.75$ to fraction

Answer: $\frac{3}{4}$

$0.75 = \frac{75}{100} = \frac{3}{4}$

Fraction → Percent

Convert $\frac{2}{5}$ to percent

Answer: $40\%$

$\frac{2}{5} = 0.4 = 40\%$

Percent → Fraction

Convert $40\%$ to fraction

Answer: $\frac{2}{5}$

$40\% = \frac{40}{100} = \frac{2}{5}$

🎯 Your Learning Path

We'll tackle these conversions in the most logical order:

Decimal → Percent

Simplest: $\times 100$ and add %

Percent → Decimal

Reverse: $\div 100$ and remove %

Fraction → Decimal

Division: $\frac{a}{b} = a \div b$

Decimal → Fraction

Place value: $0.75 = \frac{75}{100}$

Fraction → Percent

Combines steps 3 + 1

Percent → Fraction

Combines steps 2 + 4

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Great! You've completed the introduction!

You're ready to move on to the next topic.

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