How to Convert Percents to Fractions: Step-by-Step Math Tutorial

Understanding Percent to Fraction Conversion

• 💡 The process begins by converting a percentage into its decimal equivalent.
• 🎯 This is achieved by dividing the percentage by 100 (or 100%).

Converting Decimals to Fractions

• 🔑 Once you have the decimal, the next step is to express it as a fraction.
• 📌 For decimals that terminate at the tenths place (e.g., 0.3), place the decimal over 1 and multiply the numerator and denominator by 10 to eliminate the decimal.
• ⚡ For decimals that terminate at the hundredths place (e.g., 0.15), place the decimal over 1 and multiply by 100.
• 🧠 For decimals that terminate at the thousandths place (e.g., 0.128), place the decimal over 1 and multiply by 1,000.

Simplifying Fractions

• 🚀 After converting the decimal to a fraction, it's crucial to simplify the fraction to its lowest terms.
• 📊 For example, 15% becomes 0.15, then 15/100, which simplifies to 3/20 by dividing both numerator and denominator by 5.
• 🔬 In another example, 12.8% converts to 0.128, then 128/1000. This fraction is simplified by repeatedly dividing by 2 until it reaches 16/125.
• ✅ The final step in converting 12.8% to a fraction results in 16/125, as it cannot be simplified further.