High School Maths Examples and Questions

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Answers − Converting top heavy fractions to mixed numbers

1.    9/5 = 1 4/5

  9 ÷ 5 = 1 with remainder of 4.
  The 4 becomes the numerator and the denominator is still 5

2.    4/3 = 1 1/3

  4 ÷ 3 = 1 with remainder of 1.
  The 1 becomes the numerator and the denominator is still 3

3.    3/2 = 1 1/2

  3 ÷ 2 = 1 with remainder of 1.
  The 1 becomes the numerator and the denominator is still 2

4.    7/4 = 1 3/4

  7 ÷ 4 = 1 with remainder of 3.
  The 3 becomes the numerator and the denominator is still 4

5.    11/4 = 2 3/4

  11 ÷ 4 = 2 with remainder of 3.
  The 3 becomes the numerator and the denominator is still 4

6.    15/6 = 2 3/6 = 2 ½

  15 ÷ 6 = 2 with remainder of 3.
  The 3 becomes the numerator and the denominator is still 6
The fraction 3/6 part of the mixed number can be simplified to ½

     Or

     15/6 = 5/2 = 2 ½

  First simplify 15/6 = 5/2
  5 ÷ 2 = 2 with remainder of 1.
  The 1 becomes the numerator and the denominator is 2

7.    17/8 = 2 1/8

  17 ÷ 8 = 2 with remainder of 1.
  The 1 becomes the numerator and the denominator is still 8

8.    18/4 = 4 2/4 = 4 ½

  18 ÷ 4 = 4 with remainder of 2.
  The 2 becomes the numerator and the denominator is still 4
The fraction 2/4 part of the mixed number can be simplified to ½

     Or

     18/4 = 9/2 = 4 ½

  First simplify 18/4 = 9/2
  9 ÷ 2 = 4 with remainder of 1.
  The 1 becomes the numerator and the denominator is 2

9.    27/9 = 3

  27 ÷ 9 = 3

10.    81/27 = 3

  81 ÷ 27 = 3

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