True or False: Every fraction has a limited number of equivalent fractions.
false
true
False. Every fraction has an infinite number of equivalent fractions. Equivalent fractions are obtained by multiplying or dividing both the numerator and the denominator by the same non-zero number. This means that for any given fraction, you can find an unlimited number of other fractions that are equivalent to it.
False. Every fraction actually has an unlimited number of equivalent fractions. To understand why, let's first define what an equivalent fraction is. Two fractions are equivalent if they represent the same value even though they may have different numerators and denominators.
To find equivalent fractions, you can multiply or divide both the numerator and the denominator of a fraction by the same nonzero number. This will result in a fraction that is equivalent to the original one.
For example, let's take the fraction 1/2. To find an equivalent fraction, you can multiply the numerator and denominator by 2, yielding 2/4. But we can still find more equivalent fractions by multiplying both the numerator and denominator by any other non-zero number, such as 3/6, 4/8, or even 100/200. As you can see, there are infinitely many fractions that are equal to 1/2.
This applies to any fraction - the possibilities are endless. So, it is incorrect to say that every fraction has a limited number of equivalent fractions. In fact, there are an infinite number of ways to represent any given fraction.