Understanding Fractions to Percentages

Hi there! Today, we’re going to learn how to convert fractions into percentages. This is a useful skill that helps us understand how much something is when compared to a whole. Let’s break this down step by step!

Step 1: Understand the Fraction

A fraction consists of two parts: the numerator (the number on top) and the denominator (the number on the bottom). For example, in the fraction 3/4, 3 is the numerator and 4 is the denominator.

Step 2: Divide the Numerator by the Denominator

To convert a fraction to a percentage, first divide the numerator by the denominator. Using our example:

3 ÷ 4 = 0.75

Step 3: Convert to Percentage

Next, we need to convert the decimal we just found into a percentage. To do that, we multiply by 100:

0.75 × 100 = 75

Step 4: Add the Percentage Sign

Finally, we add the percentage sign (%) to our answer:

3/4 = 75%

Step 5: Practice with Examples

Let’s try a few more examples:

Example 1: 1/2

  1. Divide: 1 ÷ 2 = 0.5
  2. Convert: 0.5 × 100 = 50
  3. Add percentage sign: 1/2 = 50%

Example 2: 3/10

  1. Divide: 3 ÷ 10 = 0.3
  2. Convert: 0.3 × 100 = 30
  3. Add percentage sign: 3/10 = 30%

Step 6: Conclusion

Now you know how to convert fractions to percentages! Just remember: divide the numerator by the denominator, multiply by 100, and add the percentage sign. Keep practicing, and you’ll become a pro at this in no time!


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