How to Convert Percents to Mixed Numbers for GED Math

Converting Percents to Mixed Numbers

• 💡 The process begins by converting the percent value to a decimal by dividing by 100 or moving the decimal point two places to the left.
• 🎯 For example, 435% becomes 4.35.

Separating Whole and Decimal Parts

• 🧩 Next, separate the whole number from the decimal portion of the number.
• 📌 In 4.35, the whole number is 4 and the decimal is 0.35.

Converting Decimal to Fraction

• ⚙️ Convert the decimal portion into a fraction by placing it over a power of 10.
• 📊 For 0.35, since there are two digits after the decimal, it becomes 35/100.
• 🚀 Simplify this fraction by dividing both the numerator and denominator by their greatest common divisor, which is 5, resulting in 7/20.

Forming the Mixed Number

• ✅ Combine the whole number with the simplified fraction to form the mixed number.
• 🌟 Thus, 4 + 7/20 is written as the mixed number 4 and 7/20.

Second Example: 765%

• 📈 Applying the same steps to 765%, first convert it to the decimal 7.65.
• 🔍 Separate into a whole number (7) and a decimal (0.65).
• 💯 Convert 0.65 to a fraction: 65/100.
• 🧮 Simplify 65/100 by dividing by 5, yielding 13/20.
• 🏆 The final mixed number for 765% is 7 and 13/20.