I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
I can use awareness that fractions of the form a/b, where a>b, are greater than one and so convert from improper fractions to mixed numbers.
Proper - A proper fraction is a fraction where the numerator is less than the denominator.
Improper - An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Mixed number - A mixed number is an improper fraction written as its integer part plus the fractional part where the fractional part is a proper fraction.
A mixed number can be confused with an integer multiplying by the proper fraction.
Emphasise the language eg. 3 and a 1/2 means 3 + 1/2.
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$$1 \over 6$$ - $$3 \over 18$$
$$2 \over 9$$ - $$6 \over 27$$
$$5 \over 11$$ - $$25 \over 55$$
$$5 \over 8$$ - $$20 \over 32$$
$$5 \over 7$$ - $$20 \over 28$$
improper fraction - $$\frac {8}{5}$$
proper fraction - $$\frac {3}{5}$$
mixed number - $$1 \frac {3}{5}$$
$$\frac{7} {8} \square 1$$ - <
$$\frac{7+8}{8+7} \square 1$$ - =
$$\frac{8} {7} \square 1$$ - >
$$ \frac {7}{4}$$ - $$1 \frac {3}{4}$$
$$ \frac {5}{2}$$ - $$2 \frac {1}{2}$$
$$ \frac {10}{8}$$ - $$1 \frac {1}{4}$$
$$ \frac {11}{4}$$ - $$2 \frac {3}{4}$$
$$ \frac {12}{8}$$ - $$1 \frac {1}{2}$$
