How many sixths are equivalent to 2/3?
Understand the Problem
The question is asking how many parts of sixths are needed to equal the fraction 2/3. To solve this, we can convert 2/3 into a fraction with a denominator of 6.
Answer
4
Answer for screen readers
The number of sixths needed to equal the fraction $\frac{2}{3}$ is 4.
Steps to Solve
- Convert 2/3 to a fraction with a denominator of 6
To compare $2/3$ with sixths, we need to convert it to a fraction that has 6 as the denominator. To do this, multiply the numerator and denominator of $2/3$ by 2:
$$ \frac{2 \times 2}{3 \times 2} = \frac{4}{6} $$
- Understanding sixths
Now, we know that the fraction $\frac{4}{6}$ represents the same amount as $\frac{2}{3}$. This means that $\frac{4}{6}$ is made up of parts of sixths.
- Determine the number of sixths in the fraction
Since each sixth is represented as $\frac{1}{6}$, to find out how many parts of sixths are in $\frac{4}{6}$, simply look at the numerator which gives us:
$$ 4 \text{ sixths} $$
The number of sixths needed to equal the fraction $\frac{2}{3}$ is 4.
More Information
This means that if you take 4 pieces of one-sixth each, they will combine to give you two-thirds of a whole. This fraction equivalence helps in understanding how parts and wholes relate to each other in fractions.
Tips
- A common mistake is forgetting to multiply both the numerator and denominator by the same number when converting fractions. Always ensure you perform the same operation to both parts of the fraction.
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