I can use the relationship between the numerator and denominator to simplify fractions.
I can use the relationship between the numerator and denominator to simplify fractions.
Common factor - When you are comparing the factors of two numbers, a common factor is one shared by both numbers.
Simplest form - When a fraction is in its simplest form, the numerator and denominator only share a common factor of one.
Simplify - To simplify a fraction is to identify the highest common factor shared by the numerator and denominator and to scale down both by that factor.
Scale up/down - To scale up or down is to multiply or divide by a given number or factor.
Pupils may not see that the fraction and its simplified version are equivalent. Pupils may not have a deep understanding of how factors relate to fractions.
Stress the equivalence of fractions when simplifying and make use of representations to show that fractions are equivalent using parts of a whole and position on a number line. Discuss the language of factors, common factors and prime numbers.
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$${6}\over{9}$$ - $${2}\over{3}$$
$${6}\over{14}$$ - $${3}\over{7}$$
$${7}\over{14}$$ - $${1}\over{2}$$
$${9}\over{12}$$ - $${3}\over{4}$$
$${12}\over{15}$$ - $${4}\over{5}$$
