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Reciprocal of 3/10
To find the reciprocal for a number, like 3/10, we flip the numerator and denominator. We end up with 10/3 as the reciprocal for 3/10.

We could also convert the reciprocal, 10/3, to a decimal. This would be 3.33 (the 3 repeats).

The reciprocal is also called the multiplicative inverse. So we can check to see if we have the correct reciprocal for 3/10 by multiplying it by its reciprocal. This should be equal to 1.

3/10 x 10/3 = 30/30 = 1

Note that the reciprocal of 3/10 is not equal to 10/3. They are different numbers.

For whole numbers, (2, 3 …) we can consider these to be divided by one. For example, 2 can be considered to be 2/1. This makes it possible to find the reciprocal by flipping the numerator and denominator.