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Finding equivalent fractions, and expressing fractions in other equivalent forms.

spot use of a multiplier to get equivalent fractions with larger denominators.

This question tests the student's ability to identify equivalent fractions through spotting a fraction which is not equivalent amongst a list of otherwise equivalent fractions. It also tests the students ability to convert mixed numbers into their equivalent improper fractions. It then does the reverse and tests their ability to convert an improper fraction into an equivalent mixed number. 

Simplifying a fraction with many factors up to cubed primes in common.

Simplifying a fraction with a common factor up to a square.

Cancelling down a single prime factor to simplify a fraction. 

Practice finding factors, HCF and LCM.

Calculating the LCM of two numbers by using prime factorisation.

Find the HCF of two numbers using prime factor decomposition.

Find the common factors of two numbers