How to Change Fractions Into Percentages

Changing fractions into percentages might sound a bit tricky, but it’s easier than it seems! I remember having a hard time with this in Year 7, but once I learned the simple steps, it got super easy. Let me break it down for you:

Step 1: What is a Percentage?

A percentage is just a way to say a fraction out of 100. So, when we change a fraction into a percentage, we are figuring out how much of 100 the fraction represents.

Step 2: How to Convert the Fraction

Let’s say you have the fraction ( \frac{3}{4} ). To change it into a percentage, follow these steps:

1. Divide the top number (numerator) by the bottom number (denominator):
   ( 3 \div 4 = 0.75 )

2. Multiply the result by 100 to get the percentage:
   ( 0.75 \times 100 = 75% )

So, ( \frac{3}{4} ) is the same as 75%.

Step 3: Changing Percentages Back to Fractions

Now, if you want to change a percentage (like 80%) back into a fraction, it's just as easy:

1. Write the percentage as a fraction over 100:
   ( \frac{80}{100} )

2. Simplify the fraction if you can. Here, both numbers can be divided by 20:
   ( \frac{80 \div 20}{100 \div 20} = \frac{4}{5} )

Helpful Tip:

Always remember to simplify your fractions when you can! The more you practice, the better you'll get. Try changing a few fractions and percentages on your own, and soon you’ll be great at switching between them!