What fractions are equivalent to 2/3?

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value. In other words, two or more fractions are said to be equivalent if they are equal to the same fraction when simplified.

Answer: 4/6, 6/9, 8/12, 10/15, and so on, are equivalent to 2/3. All those fractions obtained by multiplying both the numerator and denominator of 2/3 by the same number are equivalent to 2/3.

All equivalent fractions get reduced to the same fraction in their simplest form.

Equivalent Fractions of 2/3

Let us find out the equivalent fractions of 2/3.

Explanation:

There are two ways in which we can find equivalent fractions:

• Multiply the numerator and the denominator by the same number.
• Divide the numerator and the denominator by the same number.

What Fractions are Equivalent to 2/3?

In this case, since 2/3 is already in its lowest and reduced form, let us find the equivalent fractions of 2/3 by multiplying both the numerator and denominator of 2/3 by the same integer.

• 2/3 × 2/2 = 4/6
• 2/3 × 3/3 = 6/9
• 2/3 × 4/4 = 8/12
• 2/3 × 5/5 = 10/15 and so on...

Therefore, if we asked, what fractions are equivalent to 2/3, we know that 4/6, 6/9, 8/12, 10/15, and so on, are equivalent to 2/3.

Thus, 4/6, 6/9, 8/12, 10/15, and so on, are equivalent to 2/3.