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
- 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:
$$ \frac{2}{3} \times \frac{1}{2} $$
- Multiply the numerators
When multiplying fractions, multiply the numerators together. Here, we multiply $2$ and $1$:
$$ 2 \times 1 = 2 $$
- Multiply the denominators
Next, we multiply the denominators together. In this case, we multiply $3$ and $2$:
$$ 3 \times 2 = 6 $$
- Combine the results
Now we combine the results from multiplying the numerators and denominators:
$$ \frac{2}{6} $$
- 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.