convert 13.5% into a simplified fraction

convert 13.5% into a simplified fraction.

The correct answer and explanation is:

✅ Correct Answer:

13.5% = 27/200

🧠 Explanation (300 words):

To convert 13.5% into a simplified fraction, follow these clear steps:

Step 1: Understand What Percent Means

The word “percent” literally means “per hundred.”
So, 13.5% = 13.5 per 100, or: 13.5%=13.510013.5\% = \frac{13.5}{100}

Step 2: Remove the Decimal

To eliminate the decimal in 13.5, multiply both the numerator and the denominator by 10: 13.5×10100×10=1351000\frac{13.5 \times 10}{100 \times 10} = \frac{135}{1000}

Step 3: Simplify the Fraction

Now simplify 135/1000 by dividing both the numerator and denominator by their Greatest Common Divisor (GCD).

The GCD of 135 and 1000 is 5. 135÷51000÷5=27200\frac{135 \div 5}{1000 \div 5} = \frac{27}{200}

✅ Final Answer:

13.5%=2720013.5\% = \frac{27}{200}

🔍 Why It’s Useful to Convert Percents to Fractions

1. Fractions are exact values in math, especially useful in algebra, measurements, and probability.
2. When doing calculations by hand, fractions can sometimes be easier to manipulate than decimals or percents.
3. Understanding this process builds number sense, helping with topics like ratios, proportions, and percentages in real-life situations (e.g., discounts, statistics, cooking).

🔁 Quick Summary

• Percent to fraction: write over 100
• 13.5% = 13.5/100
• Multiply top and bottom by 10 → 135/1000
• Simplify by dividing by 5 → 27/200

Now you can confidently say: 13.5%=2720013.5\% = \frac{27}{200}