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Answer: Every fraction has infinitely many equivalent fractions. ... In words: the value of fraction does not change if both the numerator and the denominator are divided (or multiplied) by the same nonzero number.

Step-by-step explanation:

Every fraction have unlimited number of equivalent fractions.

And so the statement is FALSE.

Fractions

  • A fraction is defined as a numeric quantity that represents a part of a whole number.
  • It is denoted by a numerator and a denominator.

Equivalent Fraction

  • Equivalent fractions are the fractions that have the same values.
  • Example of equivalent fraction :

        [tex]$\frac{1}{3} = \frac{3}{9} =\frac{4}{12}$[/tex]

Thus when we multiply or divide the numerator and denominator of the given fraction by the same number, we get a fraction having the same value.

And so every fraction has unlimited equivalent fractions.

Thus the statement is False.

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