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Equivalent fractions and decimals | Year 5 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 5 Mathematics

Equivalent fractions and decimals | Year 5 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 5 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 5 Mathematics

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FAQs on Equivalent fractions and decimals - Year 5 Mathematics

1. What are equivalent fractions and decimals?
Ans. Equivalent fractions and decimals are different ways of representing the same value. For example, 1/2 is equivalent to 0.5.
2. How can you convert fractions to decimals?
Ans. To convert a fraction to a decimal, divide the numerator by the denominator. For example, to convert 1/4 to a decimal, you would divide 1 by 4 to get 0.25.
3. Can all fractions be represented as decimals?
Ans. Not all fractions can be represented as decimals. Fractions with denominators that are not multiples of 10 (such as 1/3 or 3/7) result in repeating or terminating decimals.
4. How do you find equivalent fractions?
Ans. To find equivalent fractions, you can multiply or divide both the numerator and denominator by the same number. For example, to find an equivalent fraction for 1/2, you can multiply both the numerator and denominator by 2 to get 2/4.
5. How can understanding equivalent fractions and decimals help in everyday life?
Ans. Understanding equivalent fractions and decimals can be helpful when working with measurements, calculations, and comparisons in everyday tasks such as cooking, shopping, or budgeting.
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