Watch: Percentages
First watch this video from KS2 Maths to find out a bit about percentages.
Did you know?
All fractions can be converted to percentages and vice versa!
Per cent means out of a hundred. When we talk about percentages, we are referring to a fraction that is over one hundred.
Instead of writing it as a fraction, we use the per cent symbol (%).
59% = 鈦碘伖鈦勨倎鈧鈧
Let's take a look at two methods to convert fractions into percentages.
Method 1
Since not all fractions have a denominator of 100, you have to convert the fraction into one that does.
Example 1
What is 虏鲁鈦勨倐鈧 as a percentage?
- Step 1: Convert 虏鲁鈦勨倐鈧 into an equivalent fraction with a denominator of 100. Remember, multiply the numerator and the denominator by the same number.
- Step 2: Now that you have the equivalent fraction of 鈦孤测亜鈧佲個鈧, you take the numerator and add the per cent sign!
鈦孤测亜鈧佲個鈧 = 92%
Example 2
What is 鈪 as a percentage?
- Step 1: Convert 鈪 into an equivalent fraction with a denominator of 100.
- Step 2: Place the numerator 40 next to the per cent symbol.
鈦粹伆鈦勨倎鈧鈧 = 40%
Method 2
What if you can鈥檛 convert the fraction into an equivalent with a denominator of 100? Not all numbers go into 100 after all.
Sometimes, you have to convert the fraction into a decimal first before finding the percentage.
Example 1
What is 鲁鈦勨倛 as a percentage?
- Step 1: Did you know that the fraction line also means divide? So 鲁鈦勨倛 can also be written as 3 梅 8.
So 3 梅 8 = 0.375
Top tip: You can always use the bus stop method to help you with division.
- Step 2: Now that the fraction is a decimal, you multiply it by 100.
0.375 x 100 = 37.5
- Step 3: Add the per cent sign next to 37.5.
So 鲁鈦勨倛 = 37.5 %
Example 2
What is 鈦粹亜鈧 as a percentage?
- Step 1: Divide the numerator by the denominator.
So 4 梅 6 = 0.67 (rounded to two decimal places)
- Step 2: Multiply by 100.
0.67 x 100 = 67
- Step 3: Add the per cent symbol.
So 鈦粹亜鈧 = 67 %
Watch: Converting fractions and decimals into percentages
Now watch this video from 91热爆 Teach which explains how to convert from a fraction to a percentage, and from a decimal to a percentage.
Activity
Quiz 1
Converting quiz
Play this quiz and see how much you have learned about converting fractions and percentages. Can you get them all right?
Quiz 2
Turning fractions into percentages
Use the methods we've learned in this lesson to turn these fractions into percentages.
Quiz 3
Finding percentages
Have a go at answering these questions about finding percentages.
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