2-12-11-32

To find the reciprocal, divide 1 by the number given.

12-12-11-32

Simplify the denominator.

Write 1 as a fraction with a common denominator.

12-12-122-32

Combine the numerators over the common denominator.

12-12-12-32

Subtract 3 from 2.

12-12-1-12

Move the negative in front of the fraction.

12-12-1-12

12-12-1-12

Simplify the denominator.

Cancel the common factor of 1 and -1.

Rewrite 1 as -1(-1).

12-12–1(-1)-12

Move the negative in front of the fraction.

12-12–112

12-12–112

Multiply the numerator by the reciprocal of the denominator.

12-12–(1⋅2)

Multiply 2 by 1.

12-12-(-1⋅2)

Multiply -1 by 2.

12-12–2

Multiply -1 by -2.

12-12+2

Add 2 and 2.

12-14

12-14

Simplify the denominator.

To write 2 as a fraction with a common denominator, multiply by 44.

12⋅44-14

Combine 2 and 44.

12⋅44-14

Combine the numerators over the common denominator.

12⋅4-14

Simplify the numerator.

Multiply 2 by 4.

18-14

Subtract 1 from 8.

174

174

174

Multiply the numerator by the reciprocal of the denominator.

1(47)

Multiply 47 by 1.

47

47

Find the Reciprocal 2-1/(2-1/(1-3/2))