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We explain what improper fractions and mixed numbers are and how the relationship between them can be taught to primary-school children. What are improper fractions and mixed numbers?A mixed number is made up of a whole number and a fraction. For example: An improper fraction is one that is 'top-heavy' so the numerator is bigger than the
denominator. For example: The relationship between mixed numbers and improper fractions can be best explained through the diagram above. These two shapes have been cut into four pieces. We can either express the amount of the shape we have as a mixed number: (1
3/4) or as an improper fraction (7/4). Working with mixed numbers and improper fractions in KS2In Years 5 and 6 children need to start to be able to see equivalence between mixed numbers and improper fractions. In the diagram above 8/3 is equivalent to 2 2/3. In the diagram above 10/3 is equivalent to 3 1/3. Converting improper fractions into mixed numbersWhat is 16/5 as a mixed number?
Converting mixed numbers into improper fractionsWhat is 2 7/8 as an improper fraction?
Download Article Download Article A mixed number is one that contains both a whole number and a proper fraction (a fraction where the numerator is smaller than the denominator). For instance, if you’re baking a cake and need 2 ½ cups of flour, that’s an example of a mixed number. Mixed numbers can be converted into improper fractions, where the numerator is larger than the denominator. Converting a mixed number into an improper fraction uses a basic formula. Performing the conversion can make your numbers easier to work with in an equation, or may help you to make sense of an answer you’ve reached.[1]
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Thanks for submitting a tip for review! ReferencesAbout This ArticleArticle SummaryX To change mixed numbers to improper fractions, use the formula: (ac+b)/c, where a is the whole number, b is the numerator, and c is the denominator. First, multiply the whole number and the denominator. Then, add that number to the numerator to find the new numerator. Finally, place the new numerator over the original denominator to get the improper fraction. If you want to learn how to reduce your improper fraction, keep reading the article! Did this summary help you? Thanks to all authors for creating a page that has been read 83,272 times. Did this article help you?How do you change a mixed number into a improper fraction?To change a mixed number to an improper fraction, follow these steps: Multiply the whole number by the denominator. Add that number to the numerator. Write that sum on top of the original denominator.
What is 3 and 1/3 as an improper fraction?Answer and Explanation: The mixed number 3 1/3 can be changed into the improper fraction 10/3.
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