I can express an amount of quarters as a mixed number and an improper fraction.
I can express an amount of quarters as a mixed number and an improper fraction.
Improper fraction - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Children may just add the whole number part of the mixed number to the numerator or may forget to add the fractional part of the mixed number.
Encourage checking of work using the stem sentence. For example, there are four groups of four quarters, which is eight quarters, and two more quarters, so that is 10 quarters. Bar models could also be used while understanding develops.
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2 × 4 = - 8
5 × 4 = - 20
7 × 4 = - 28
11 × 4 = - 44
12 × 4 = - 48
$$ {2} \over {4}$$ = - $$ {1} \over {4}$$ + $$ {1} \over {4}$$
$$ {3} \over {4}$$ = - $$ {1} \over {4}$$ + $$ {2} \over {4}$$
$$ {1} \over {4}$$ = - $$ {3} \over {4}$$ − $$ {2} \over {4}$$
1 = - $$ {1} \over {4}$$ + $$ {3} \over {4}$$
