Converting Percentages to Fractions

Converting Percentages to Fractions

Learning Objectives

• At the end of the lesson you should be able to convert percentages to fractions in their simplest forms
• At the end of the lesson you should understand how to handle percentages with decimals when converting to fractions

What do you already know about converting percentages to fractions?

Slide 1: Conversion of Whole Number Percentages to Fractions

• Write the percentage as a fraction of 100
• Simplify the fraction by finding the highest common factor

Slide 2: Simplifying Fractions

• Dividing both the numerator and denominator by their highest common factor

Slide 3: Conversion of Decimal Percentages to Fractions

• Multiply by 10 to remove the decimal point
• Write the resulting number as a fraction of 100
• Simplify the fraction

Slide 4: Finding the Highest Common Factor

• The largest number that divides exactly into two or more numbers

Slide 5: Practical Applications and Exercises

• Practice converting a range of percentages to fractions
• Practice converting decimal percentages to fractions
• Practice finding the highest common factor of various pairs of numbers

Definition List

• Percentage: A rate, number, or amount in each hundred
• Fraction: A number representing part of a whole
• Simplifying fractions: The process of reducing a fraction to its simplest form by dividing both the numerator and denominator by their highest common factor
• Decimal percentage: A percentage less than 1, represented with a decimal
• Highest common factor: The largest number that divides exactly into two or more numbers

Write down 3 things you learned in this lesson.

Have students enter three things they learned in this lesson. With this they can indicate their own learning efficiency of this lesson.

Write down 2 things you want to know more about.

Here, students enter two things they would like to know more about. This not only increases involvement, but also gives them more ownership.

Ask 1 question about something you haven't quite understood yet.

The students indicate here (in question form) with which part of the material they still have difficulty. For the teacher, this not only provides insight into the extent to which the students understand/master the material, but also a good starting point for the next lesson.