Simple substitution into an algebraic expression. Includes powers, division, mulitplication, brackets.  Includes subscripts.

Add (a/b).x +/- (c/d) where a,b,c,d are randomised positive integers, and x is a randomised letter.

Multiply two algebraic fractions (unfortunately their appearance doesn't really change) and cancel. 

Fractions don't have a common denominator. Need to find one. Addition and subtraction 50:50 split.

Fractions already have a common denominator. Addition and subtraction 50:50 split. Students shouldn't have to worry about reducing fractions by design.

A whole number divided by a very simple algebraic fraction. No cancelling is required by design.

A very simple algebraic fraction multiplied by a whole number. No cancelling is required by design. 

A simple algebraic fraction dividing by another. Cancelling is recommended.

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Students seem to not realise that $\frac{a}{b}\times c=c\times\frac{a}{b}=\frac{a\times c}{b}=\frac{c\times a}{b}=a\times c \div b=a\div b\times c=c\div b \times a \ne c \div (b\times a)\ldots $ etc. This question is my attempt to help rectify this.

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