Which fraction is equivalent to 1/3?

Understand the Problem

The question is asking for a fraction that has the same value as 1/3, meaning it could be a simplified version or a scaled version of that fraction.

Answer

\frac{2}{6}
Answer for screen readers

An example of an equivalent fraction is $\frac{2}{6}$.

Steps to Solve

  1. Understand Equivalent Fractions

Equivalent fractions are fractions that represent the same value but have different numerators and denominators. To find an equivalent fraction, both the numerator and the denominator can be multiplied or divided by the same non-zero number.

  1. Multiply numerator and denominator

Multiply the numerator and denominator of $ rac{1}{3}$ by the same number, for example 2:

$$ rac{1 imes 2}{3 imes 2} = rac{2}{6} $$

  1. Verify the equivalent fraction

Check that both fractions represent the same quantity by simplifying or comparing:

$$ rac{2}{6} = rac{1}{3} $$

Thus, $ rac{2}{6}$ is equivalent to $ rac{1}{3}$.

An example of an equivalent fraction is $\frac{2}{6}$.

More Information

Equivalent fractions show the same proportion of the whole even with different numbers.

Tips

A common mistake is to change only the numerator or the denominator, which does not maintain equivalence. Always multiply or divide both the numerator and denominator by the same non-zero number.

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