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Solution: Reciprocal is the value when multiplied to 2 gives 1.

Let the reciprocal number be x. This gives 2 * x = 1.

Divide both sides of the equation by 2, to get x all by itself.

(2 * x) /2 = 1 /2; x = 1/2.

Hence reciprocal of 2 is 1/2

a) 1/10. b) 2/5.

a) Reciprocal is the value when multiplied to 1/10 gives 1.

Let the reciprocal number be x. This gives (1/10) * x = 1.

Multiply both sides of the equation by 10, to get x all by itself.

(1/10 * x) *10 = 10; x = 10.

Hence reciprocal of 1/10 is 10.

b) Reciprocal is the value when multiplied to 2/5 gives 1.

Let the reciprocal number be x. This gives (2/5) * x = 1.

Multiply both sides of the equation by 5/2, to get x all by itself.

(2/5 * x) (5/2) = 5/2; x = 5/2.

Hence reciprocal of 2/5 is 5/2.