Hey, I have a quick question on reciprocals.
Lets say if the problem is 2x/(3/2) and you want to simplify it, I know you can do 2/3 * 2x = 4x/3 but I don't really understand the whole reciprocal process like,
2x/(3/2) so you multiply it by 2/3 but shouldn't that cancel out the 3 and 2 and not make 2 * 2x/3?
Lets say if the problem is 2x/(3/2) and you want to simplify it, I know you can do 2/3 * 2x = 4x/3 but I don't really understand the whole reciprocal process like,
2x/(3/2) so you multiply it by 2/3 but shouldn't that cancel out the 3 and 2 and not make 2 * 2x/3?
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Numerator = 2x
Denominator = 3/2
NOW MULTIPLY BOTH NUMERATOR AND DENOMINATOR BY 2/3
This is like multiplying by 1 . No change in value
Numerator = 2x X 2/3 = 4x/3
Denominator = 3/2 X 2/3 = 1
ANSWER 4x /3
Denominator = 3/2
NOW MULTIPLY BOTH NUMERATOR AND DENOMINATOR BY 2/3
This is like multiplying by 1 . No change in value
Numerator = 2x X 2/3 = 4x/3
Denominator = 3/2 X 2/3 = 1
ANSWER 4x /3
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it does. You multiply the numerator and denominator by 2/3. 2/3*3/2=1 in the denominator which is what you wanted
then you multiply the numerator by 2/3 to get 4x/3
hope you understand
then you multiply the numerator by 2/3 to get 4x/3
hope you understand