I can explain how a mixed number is converted into an improper fraction.
I can explain how a mixed number is converted into an improper fraction.
Mixed number - A mixed number is a whole number and a fraction combined.
Improper fraction - An improper fraction is a fraction where the numerator (the top number) is greater than or equal to the denominator (the bottom number).
Children may make mistakes when using the generalisation if they are unaware of the structure behind it and the reason that we multiply then add.
First multiply the whole number by the denominator then add the numerator. Multiplying the whole number by the denominator tells us the number of parts that can be made from the whole number part then we need to add the parts shown by the numerator.
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2 × 8 = - 16
3 × 8 = - 24
8 × 5 = - 40
8 × 6 = - 48
11 × 8 = - 88
3 × 8 + 1 = - 25
5 × 8 + 3 = - 43
8 × 2 + 2 = - 18
8 × 5 + 4 = - 44
7 × 8 + 7 = - 63
$$1{{2} \over {7}}$$ - $$ {9} \over {7}$$
$$2{{3} \over {7}}$$ - $$ {17} \over {7}$$
$$4{{5} \over {7}}$$ - $$ {33} \over {7}$$
$$4{{6} \over {7}}$$ - $$ {34} \over {7}$$
$$5{{1} \over {7}}$$ - $$ {36} \over {7}$$
