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Equivalent fractions and decimals | Year 6 Mathematics PDF Download

Understanding Decimals and Fractions

  • Decimals and fractions are related.
  • Just as fractions have equivalent fractions, decimals also have equivalent fractions.
  • Understanding how to write decimals as fractions is important because it helps us understand the place value of the numbers.
  • Place value is crucial when converting decimals into fractions. You already use place value names as fractions after the decimal point, such as tenths and hundredths.
  • There is a simple method you can follow to convert decimals into fractions.

Examples


Example 1: Converting a number with two decimal places
How do you convert 0.91?

Sol: You can use the same method.

Equivalent fractions and decimals | Year 6 Mathematics

Equivalent fractions and decimals | Year 6 Mathematics

Example 2: Converting decimals which are more than 1
How do you convert 5.69 into a fraction?
Sol: 
Step 1: Put the number into the place value chart.
Equivalent fractions and decimals | Year 6 MathematicsStep 2: Convert the numbers after the decimal point into a fraction.
Keep the 5 in the ones column as a whole number. This turns the fractions into a mixed number.
Equivalent fractions and decimals | Year 6 Mathematics

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FAQs on Equivalent fractions and decimals - Year 6 Mathematics

1. What is an equivalent fraction?
Ans. An equivalent fraction is a fraction that represents the same value as another fraction, even though it may look different. For example, 1/2 is equivalent to 2/4 because they both represent the same amount or value.
2. How can fractions be converted into decimals?
Ans. Fractions can be converted into decimals by dividing the numerator by the denominator. For example, to convert 1/2 into a decimal, you would divide 1 by 2, which equals 0.5.
3. How can decimals be converted into fractions?
Ans. Decimals can be converted into fractions by looking at the place value of the decimal. For example, 0.75 can be converted into a fraction by writing it as 75/100, which can be simplified to 3/4.
4. Why are equivalent fractions and decimals important in mathematics?
Ans. Understanding equivalent fractions and decimals is important in mathematics because it helps in comparing and ordering numbers. It also helps in simplifying calculations and solving problems involving fractions and decimals.
5. Can you give an example of an equivalent fraction that is also a decimal?
Ans. An example of an equivalent fraction that is also a decimal is 3/4, which is equivalent to 0.75.
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