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Reciprocal of the fraction 2/3 is:...

Reciprocal of the fraction `2/3` is:

A

2

B

3

C

`2/3`

D

`3/2`

Text Solution

AI Generated Solution

The correct Answer is:
To find the reciprocal of the fraction \( \frac{2}{3} \), we can follow these steps: ### Step-by-Step Solution: 1. **Identify the Fraction**: The given fraction is \( \frac{2}{3} \). 2. **Understand the Concept of Reciprocal**: The reciprocal of a fraction is obtained by swapping its numerator and denominator. This means if we have a fraction \( \frac{a}{b} \), its reciprocal will be \( \frac{b}{a} \). 3. **Apply the Concept**: For the fraction \( \frac{2}{3} \): - The numerator is \( 2 \). - The denominator is \( 3 \). 4. **Swap the Numerator and Denominator**: - The numerator \( 2 \) will become the denominator. - The denominator \( 3 \) will become the numerator. 5. **Write the Reciprocal**: Therefore, the reciprocal of \( \frac{2}{3} \) is \( \frac{3}{2} \). ### Final Answer: The reciprocal of the fraction \( \frac{2}{3} \) is \( \frac{3}{2} \). ---
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