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
- 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:
$$ \frac{2 \times 2}{6 \times 2} = \frac{4}{12} $$
- Multiply by another whole number
We can try another whole number. Let's use 3:
$$ \frac{2 \times 3}{6 \times 3} = \frac{6}{18} $$
- 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.