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When dividing by a fraction the answer gets bigger?


That’s right. Here is a typical problem that asks you to divide a number by a fraction:

Think of it this way –

how many halves are there in 30?

Answer: Well, there will be 60 halves in 30. So the answer will be 60 + 10 = 70.

Note that we do the division part first since division is more powerful that addition – this follows the BEMA Rules that H3 recommends for all Math students. Most classrooms teach that division by 1/2 is the same as multiplying by 2. Of course, this is correct, but it may be easier for some students to view this problem as “divide 30 into halves and then add 10”.

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NCEA Level 2 Algebra Problem. Using the information given, the shaded area = 9, that is:
y(y-8) = 9 –> y.y – 8y – 9 =0
–> (y-9)(y+1) = 0, therefore y = 9 (can’t have a distance of – 1 for the other solution for y)
Using the top and bottom of the rectangle,
x = (y-8)(y+2) = (9-8)(9+2) = 11
but, the left side = (x-4) = 11-4 = 7, but rhs = y+? = 9+?, which is greater than the value of the opp. side??
[I think that the left had side was a mistake and should have read (x+4)?]

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