#Converting between fractions decimals and percentages how to

Next, we discuss how to convert fractions such as 3/5 to 6/10 using equivalent fractions. For instance, converting 4/10 to a percentage is easier than 3/5. To write a fraction in the place value table we discuss the need for the denominator to be a power of ten. Converting a Fraction to a Percentage and Decimal We work through a few more examples with students presenting their processing on their mini-whiteboards. 50/100 can be simplified by dividing the numerator and denominator by the highest common factor of each. We now progress on to converting a decimal to a percentage and simplified fraction. So far, as a class, we have only considered fractions with a denominator of one hundred. Converting a Percentage to a Simplified Fraction Hence, the need for percentages greater than 100. For instance, when something increases by 5% in value, we take 100% as the original and 105% as the new value. To address this common misconception, we discuss how percentages can be used to show growth. When I ask the class to convert 1.25 to a fraction and percentage students follow the same method but some question the validity of their final outcome commenting â€œa percentage cannot be greater than one hundredâ€. Each time I feedback to address any misconceptions. I work through questions a) to c) for the students then ask them to attempt d) to j) one at a time on mini-whiteboards. Understanding the equivalence between fractions, decimals and percentagesĬlick to view the video on converting between fractions, decimals and percentage using place value. This way students focus on matching the equivalent fractions rather than trying to calculate how many times the denominator goes into one hundred. I include the factors of one hundred as a reminder. Later in the lesson they will use this to convert a percentage to a simplified fraction. In the starter I want to remind students how to work with equivalent fractions, especially those that have denominators which are factors of one hundred.

$converting between fractions decimals and percentages$

In this blog I discuss how to use the place value table and equivalent fractions to illustrate how fractions, decimals and percentages are connected. Any fraction can be written as a decimal, and any decimal can be written as a percentage.

$converting between fractions decimals and percentages$

Converting Between Fractions, Decimals and Percentages January 4, 2019įractions, decimals and percentages are ways of showing a proportion of something.

$converting between fractions decimals and percentages$