Question

In your own words define “reciprocal” and describe how to find the reciprocal of a fraction. Use 3/6 as an example in your explanation.

Answer 1

Answer:

In mathematics, a multiplicative inverse or reciprocal for a number x, denoted by 1/x or x⁻¹, is a number which when multiplied by x yields the multiplicative identity, 1. The multiplicative inverse of a fraction a/b is b/a. For the multiplicative inverse of a real number, divide 1 by the number.

Step-by-step explanation:

To find the reciprocal, divide

1

by the number given.

1

3

6

Simplify.

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Cancel the common factor of

3

and

6

.

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Factor

3

out of

3

.

1

3

(

1

)

6

Cancel the common factors.

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Factor

3

out of

6

.

1

3

⋅

1

3

⋅

2

Cancel the common factor.

1

3

⋅

1

3

⋅

2

Rewrite the expression.

1

1

2

Multiply the numerator by the reciprocal of the denominator.

1

⋅

2

Multiply

2

by

1

.

2

Answer 2

Answer:

reciprocal- flipping the denominator and numerator

Step-by-step explanation:

3/6 as a reciprocal is 6/3 just simply flip the numbers