The reciprocal of 10/3 is equal to (10/3)-1 = 3/10 or three tenths.
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The reciprocal 7/10 is 10/7
The reciprocal of 3/10 is 10/3 or 3 1/3 (that is, three and one third).
the reciprocal of 1 over 2, is 2. reciprocal just means you flip the numbers over, in this case it leaves 2 over 1 which is the same as 2 divided by 1 which is 2. for example the reciprocal of 10 is 1 over 10 and the reciprocal over 1 over 7 is 7.
To divide by a fraction, multiply by its reciprocal. In this instance, 10 / 3/5 = 10 x 5 / 3 = 16.6 recurring (that is, 16.6666...)
The reciprocal of 41/3 = 13/3 is 3/13.