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Maths
Efficient strategies for adding and subtracting mixed numbers (crossing a whole)

Starter quiz

  • The whole has been divided into six equal parts, each part is one-<span class="blank">______</span> of the whole.
    The whole has been divided into six equal parts, each part is one-______ of the whole.
    • 'sixth' ✓
  • Select the mixed numbers.
    • {9} \over {7}
    • 1{{3} \over {7}}  ✓
    • {3} \over {7}
    • {13} \over {7}
    • 4{{1} \over {7}}  ✓
  • {3} \over {10} + {4} \over {10} =
    • {1} \over {10}
    • {7} \over {10}  ✓
    • {1} \over {20}
    • {7} \over {20}
    • {34} \over {20}
  • Match the expressions to their sum.
    • {1} \over {4} + {1} \over {4}
      ⇔
      {2} \over {4} ✓
    • {1} \over {4} + {2} \over {4}
      ⇔
      {3} \over {4}  ✓
    • {1} \over {5} + {2} \over {5}
      ⇔
      {3} \over {5}  ✓
    • {1} \over {5} + {3} \over {5}
      ⇔
      {4} \over {5}  ✓
    • {2} \over {8} + {2} \over {8}
      ⇔
      {4} \over {8} ✓
  • Use the part-part-whole model to express <Math> {13} \over {4}</Math> as a mixed number.
    Use the part-part-whole model to express {13} \over {4} as a mixed number.
    • {1} \over {4}
    • {12} \over {4}
    • 1{{1} \over {4}}
    • 2{{1} \over {4}}
    • 3{{1} \over {4}}  ✓
  • Match the improper fractions to their equivalent mixed number.
    • {9} \over {4}
      ⇔
      2{{1} \over {4}} ✓
    • {18} \over {4}
      ⇔
      4{{2} \over {4}} ✓
    • {29} \over {4}
      ⇔
      7{{1} \over {4}} ✓
    • {34} \over {4}
      ⇔
      8{{2} \over {4}} ✓
    • {46} \over {4}
      ⇔
      11{{2} \over {4}} ✓
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