What is 5 x 2/3?
Understand the Problem
The question is asking for the product of 5 and 2/3. We will multiply these two numbers to find the answer.
Answer
The product is $ \frac{10}{3} $ or $ 3 \frac{1}{3} $.
Answer for screen readers
The product of 5 and $ \frac{2}{3} $ is $ \frac{10}{3} $ or $ 3 \frac{1}{3} $.
Steps to Solve
- Convert the mixed number to an improper fraction
The number $2/3$ is already a proper fraction, so we don't need to convert it. The next step is to multiply it directly by the whole number 5.
- Set up the multiplication
We will write the whole number as a fraction. The whole number 5 can be expressed as $\frac{5}{1}$.
- Perform the multiplication
Now, we multiply the two fractions:
$$ \frac{5}{1} \times \frac{2}{3} = \frac{5 \times 2}{1 \times 3} $$
Calculating this gives us:
$$ \frac{10}{3} $$
- Convert to mixed number (if necessary)
To convert $\frac{10}{3}$ into a mixed number, divide 10 by 3.
10 divided by 3 is 3 with a remainder of 1, so:
$$ \frac{10}{3} = 3 \frac{1}{3} $$
The product of 5 and $ \frac{2}{3} $ is $ \frac{10}{3} $ or $ 3 \frac{1}{3} $.
More Information
The product is expressed as both an improper fraction and a mixed number. Knowing how to convert between these forms is useful in various mathematical contexts.
Tips
- Forgetting to express whole numbers as fractions when multiplying.
- Not simplifying fractions or converting them when necessary.
