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# What is equivalent to 2/3?

To find the equivalent fractions for any given fraction, we divide or multiply the numerator and the denominator by the same number.

## Answer: The fractions equivalent to 2/3 are 4/6, 6/9, 8/12, etc.

Equivalent fractions have the same value in the reduced form.

**Explanation:**

Equivalent fractions can be written by multiplying or dividing both the numerator and the denominator by the same number. This is the reason why these fractions get reduced to the same number when they are simplified.

Let us understand the two ways in which we can make equivalent fractions:

- Multiply the numerator and the denominator by the same number, or,
- Divide the numerator and the denominator by the same number.

Hence, the equivalent fractions to 2/3 are:

(2/3) × (2/2) = (2 × 2) / (3 × 2) = 4/6

(2/3) × (3/3) = (2 × 3) / (3× 3) = 6/9

(2/3) × (4/4) = (2 × 4) / (3 × 4) = 8/12

### Thus, 4/6, 6/9, 8/12 are equal to 2/3, when simplified, which means they are equivalent in nature.

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