An example of equivalent rational numbers is 2/3 and 4/6.
Equivalent rational numbers represent the same value, even though they are expressed with different numerators and denominators. This is because they can be simplified to the same lowest terms. Let's break down why 2/3 and 4/6 are equivalent:
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2/3: This fraction is already in its simplest form. The greatest common divisor (GCD) of 2 and 3 is 1.
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4/6: This fraction can be simplified. Both the numerator (4) and the denominator (6) are divisible by 2. When we divide both by 2, we get 2/3.
Since 4/6 simplifies to 2/3, they are equivalent rational numbers.
Here are a few more examples:
- 1/2, 2/4, 3/6, 4/8, 5/10 are all equivalent.
- 3/4, 6/8, 9/12, 12/16 are all equivalent.
To find equivalent fractions, you can multiply or divide both the numerator and denominator of a fraction by the same non-zero number. As long as you perform the same operation on both parts of the fraction, you will create an equivalent fraction.
