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

Math
2-12-11-32
To find the reciprocal, divide 1 by the number given.
12-12-11-32
Simplify.
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Simplify the denominator.
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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.
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Cancel the common factor of 1 and -1.
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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.
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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.
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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))

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