Reciprocal is the multiplicative inverse. This means that a number times its reciprocal equals 1. So the reciprocal of 5/4 is 4/5, such that (5/4) x (4/5) = 1. Opposite is a little more vague, but could refer to the additive inverse. A number, which when added to the additive inverse will equal zero. In this meaning, the additive inverse of 4/5 is -4/5, so that when they add together, the sum is zero.
here are some examples to help you out
lets say you get this problem
2 . 5
_ ÷ _
3 . 4
ok so now you must do the RECIPROCAL of the second number {reciprocal of 5/4 is 4/5}
so your equation should look like this
2 . 4
_ x _
3 . 5
which equals 8/15
see I did the reciprical of 5/4 I just flipped it around!! it is as simple as that
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The opposite is 8584073464 while the reciprocal is -1/8584073464. If you mean the opposite of the reciprocal of -8584073464 then is 1/8584073464.
The answer depends on what you mean by the "opposite" of a number. A reciprocal is one type of opposite: it is the multiplicative opposite.
To divide by a fraction, you multiply by its reciprocal. This is related to the facts that (1) division is the opposite of multiplication, and (2) a reciprocal is the multiplicative "opposite" of a number.
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The property of the reciprocal of the opposite of a number is: Reciprocals of inverse values are themselves inverse values. i.e. for b = (-1)a , the reciprocal 1/b = (-1) 1/a The negative or positive status of a reciprocal is the same as that of the original number.