Converting Fractions to Percentages
(KS3, Year 7)
The LessonA fraction can be converted to a percentage.
How to Convert a Fraction to a PercentageConverting a fraction to a percentage is easy. Divide the top number of the fraction by the bottom number of the fraction and then multiply by 100%.
QuestionWhat is 1⁄5 as a percentage?
Multiply the answer (0.2) by 100%.
0.2 × 100% = 20%Don't forget: a percentage has a % ("percent") sign after it.
Answer:1⁄5 converted to a percentage is 20%.
How to Convert a Fraction to a Percentage Using a FormulaTo convert a fraction to a percentage you have to multiply the fraction by 100%.
The method for calculating this formula is exactly the same as in the example above.
Lesson SlidesThe slider below gives another example of converting a fraction to a percentage. Open the slider in a new tab
Interactive WidgetHere is an interactive widget to help you learn about converting fractions to percentages.
What Is a Fraction?Fractions consist of a numerator and a denominator.
The denominator tells you how many equal parts the whole is divided into, and the numerator tells you how many of these parts there are.
What Is a Percentage?A percentage expresses a part of a whole number as parts out of 100. "Per cent" means "per 100" or "out of 100". A percentage is shown by the symbol %.
Why Does the Formula Work?To convert a fraction to a percentage, the formula tells us to multiply the fraction with 100%.
Percentage = Fraction × 100%It is a special case of finding the fraction of a number, where the number is 100%. Read more about finding the fraction of a number
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