What is 2/3 of 19?
Understand the Problem
The question is asking us to find what two-thirds of the number 19 is. To solve this, we will multiply 19 by 2/3.
Answer
The two-thirds of 19 is $\frac{38}{3}$ or $12 \frac{2}{3}$.
Answer for screen readers
The two-thirds of 19 is $\frac{38}{3}$ or $12 \frac{2}{3}$.
Steps to Solve
- Set up the multiplication
We need to multiply the number 19 by the fraction $\frac{2}{3}$. This can be written as:
$$ \text{Result} = 19 \times \frac{2}{3} $$
- Convert 19 to a fraction
To make the multiplication easier, convert 19 into a fraction. We can represent 19 as $\frac{19}{1}$.
So now we have:
$$ \text{Result} = \frac{19}{1} \times \frac{2}{3} $$
- Multiply the fractions
To multiply the fractions, multiply the numerators and then the denominators:
$$ \text{Result} = \frac{19 \times 2}{1 \times 3} $$
Calculating the products:
$$ \text{Result} = \frac{38}{3} $$
- Convert to mixed number (if necessary)
If you want to convert the improper fraction $\frac{38}{3}$ to a mixed number, divide 38 by 3:
38 divided by 3 is 12 with a remainder of 2. Thus:
$$ \frac{38}{3} = 12 \frac{2}{3} $$
The two-thirds of 19 is $\frac{38}{3}$ or $12 \frac{2}{3}$.
More Information
Finding a fraction of a number is a common operation in math. In this case, two-thirds of 19 gives us an improper fraction which can also be expressed as a mixed number.
Tips
- Forgetting to convert the whole number into a fraction before multiplying.
- Miscalculating the multiplication of the numerators or denominators.
- Not simplifying the final result when possible.
