Fractions that are equivalent to 2/3 have the same value even though they may look different. To find equivalent fractions, you can multiply or divide both the numerator (the top number) and the denominator (the bottom number) by the same non-zero number.
For example, if we multiply both the numerator and the denominator of 2/3 by 2, we get:
2 × 2 / 3 × 2 = 4/6
So, 4/6 is one fraction that is equivalent to 2/3.
Similarly, if we multiply both by 3, we get:
2 × 3 / 3 × 3 = 6/9
Thus, 6/9 is also equivalent to 2/3.
In general, you can create many equivalent fractions for 2/3 by using this method. Just remember, as long as you multiply or divide both the numerator and denominator by the same number, the value of the fraction remains the same. Some other examples include:
- 8/12 (by multiplying by 4)
- 10/15 (by multiplying by 5)
- 20/30 (by multiplying by 10)
Each of these fractions simplifies back to 2/3, demonstrating their equivalence.