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Maths Gcse Edexcel Foundation

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Exam code:1MA1

Mixed numbers & improper

What are mixed numbers & improper fractions?

  • A mixed number has an integer part and a fraction part

    • 3 3 over 4 has the whole number 3 and the fraction 3 over 4, meaning “three and three quarters”

  • An improper fraction is also known as a top-heavy fraction

  • An improper fraction is a fraction where the numerator is bigger than the denominator

    • 15 over 4 means “fifteen quarters”

  • Any fraction that is greater than 1 can be written as either a mixed number or an equivalent improper fraction

How do I convert a mixed number into an improper fraction?

  • Multiply the integer part by the denominator of the fraction part

    • For example, convert 4 6 over 7 into a top heavy fraction

    • 4 cross times 7 equals 28

  • Add the result to the numerator of the fraction part

    • 28 plus 6 equals 34

  • Write the ‘new’ numerator over the same denominator and ignore the integer part

    • 4 6 over 7 equals 34 over 7

How do I convert an improper fraction into a mixed number?

  • Divide the numerator by the bottom

    • For example, convert 22 over 3 into a mixed number 

    • <img alt=”22 divided by 3 equals 7″ data-mathml='<math ><semantics><mrow><mn>22</mn><mo>&#247;</mo><mn>3</mn><mo>=</mo><mn>7</mn></mrow><annotation encoding=”application/vnd.wiris.mtweb-params+json”>{“language”:”en”,”fontFamily”:”Times New Roman”,”fontSize”:”18″,”autoformat”:true}</annotation></semantics></math>’ height=”22″ role=”math” src=”data:image/svg+xml;charset=utf8,%3Csvg%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F2000%2Fsvg%22%20xmlns%3Awrs%3D%22http%3A%2F%2Fwww.wiris.com%2Fxml%2Fmathml-extension%22%20height%3D%2222%22%20width%3D%2272%22%20wrs%3Abaseline%3D%2216%22%3E%3C!–MathML%3A%20%3Cmath%20xmlns%3D%22http%3A%2F%2Fwww.w3.org%2F1998%2FMath%2FMathML%22%3E%3Cmn%3E22%3C%2Fmn%3E%3Cmo%3E%26%23xF7%3B%3C%2Fmo%3E%3Cmn%3E3%3C%2Fmn%3E%3Cmo%3E%3D%3C%2Fmo%3E%3Cmn%3E7%3C%2Fmn%3E%3C%2Fmath%3E–%3E%3Cdefs%3E%3Cstyle%20type%3D%22text%2Fcss%22%3E%40font-face%7Bfont-family%3A’math142c881a8aa82dc511c337aebb5’%3Bsrc%3Aurl(data%3Afont%2Ftruetype%3Bcharset%3Dutf-8%3Bbase64%2CAAEAAAAMAIAAAwBAT1MvMi7iBBMAAADMAAAATmNtYXDEvmKUAAABHAAAADxjdnQgDVUNBwAAAVgAAAA6Z2x5ZoPi2VsAAAGUAAABJWhlYWQQC2qxAAACvAAAADZoaGVhCGsXSAAAAvQ

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