Evaluate 1/(1-1/3)

Problem

1/(1−1/3)

Solution

1. Simplify the denominator by performing the subtraction 1−1/3

1−1/3=3/3−1/3

3/3−1/3=2/3

2. Rewrite the expression using the simplified denominator.

1/2/3

3. Apply the reciprocal rule for division by a fraction, which states that 1/a/b=b/a

1/2/3=3/2

Final Answer

1/(1−1/3)=3/2

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