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What is half of 2/3 as a fraction?

Understand the Problem

The question is asking us to find half of the fraction 2/3. To do this, we will multiply 2/3 by 1/2.

Answer

The answer is $\frac{1}{3}$.
Answer for screen readers

The final answer is $\frac{1}{3}$.

Steps to Solve

  1. Multiply the fractions

To find half of the fraction $\frac{2}{3}$, we need to multiply it by $\frac{1}{2}$.

So, we set up the multiplication:

$$ \frac{2}{3} \times \frac{1}{2} $$

  1. Multiply the numerators

When multiplying fractions, multiply the numerators together. Here, we multiply $2$ and $1$:

$$ 2 \times 1 = 2 $$

  1. Multiply the denominators

Next, we multiply the denominators together. In this case, we multiply $3$ and $2$:

$$ 3 \times 2 = 6 $$

  1. Combine the results

Now we combine the results from multiplying the numerators and denominators:

$$ \frac{2}{6} $$

  1. Simplify the fraction

Finally, we simplify the fraction $\frac{2}{6}$ by dividing both the numerator and the denominator by their greatest common divisor, which is $2$:

$$ \frac{2 \div 2}{6 \div 2} = \frac{1}{3} $$

The final answer is $\frac{1}{3}$.

More Information

The resulting value, $\frac{1}{3}$, represents half of the original fraction $\frac{2}{3}$. This simple operation demonstrates how fractions can be easily manipulated through multiplication.

Tips

  • A common mistake is forgetting to simplify the fraction after multiplication. Always check if the fraction can be reduced to its simplest form.
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