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x =3 or x= -3
First, I would make sure the pupil understands why rationalising fractions is necessary. Then I would acquaint them with the relevant vocabulary so they can express their thought process better...
A fraction a/b consists of a numerator (the part above the bar, a in this example) and a denominator (the part below the bar, b here). In order to add or subtract fractions, we need to make sure the denom...
Area Scale Factor = (Scale Factor)2
If the scale factor is 3 then:
ASF = 32
ASF = 9
Area of enlarged rectangle = 20x9
Area of enlarged rectangle = ...
m = 2ab/4c+b [times both sides by (4c+b)]
m(4c+b) = 2ab (expand the bracket)
4cm+bm = 2ab (take away bm from both sides)
4cm = 2ab - bm (take out b as the common factor)
4cm = ...
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