What fractions are equivalent to 2/6?

Understand the Problem

The question is asking for fractions that represent the same value as 2/6. To find equivalent fractions, we can multiply both the numerator and the denominator of 2/6 by the same whole number.

Answer

\( \frac{4}{12} \), \( \frac{6}{18} \), \( \frac{8}{24} \)
Answer for screen readers

Fractions equivalent to ( \frac{2}{6} ) include ( \frac{4}{12} ), ( \frac{6}{18} ), and ( \frac{8}{24} )

Steps to Solve

  1. Multiply by a whole number

To find fractions equivalent to ( \frac{2}{6} ), multiply the numerator and the denominator by the same whole number. For example, let's use 2:

$$ \frac{2 \times 2}{6 \times 2} = \frac{4}{12} $$

  1. Multiply by another whole number

We can try another whole number. Let's use 3:

$$ \frac{2 \times 3}{6 \times 3} = \frac{6}{18} $$

  1. Multiply by yet another whole number

We can continue this process with different whole numbers. Let's use 4:

$$ \frac{2 \times 4}{6 \times 4} = \frac{8}{24} $$

Fractions equivalent to ( \frac{2}{6} ) include ( \frac{4}{12} ), ( \frac{6}{18} ), and ( \frac{8}{24} )

More Information

Equivalent fractions are found by multiplying the numerator and denominator by the same number. There are infinitely many equivalent fractions for any given fraction.

Tips

A common mistake is not multiplying both the numerator and the denominator by the same number, which changes the value of the fraction.

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