What is 2/3 of 8?
Understand the Problem
The question is asking us to calculate the value of two-thirds of the number eight. This involves multiplying 8 by the fraction 2/3.
Answer
\( \frac{16}{3} \)
Answer for screen readers
The value of two-thirds of eight is ( \frac{16}{3} ) or 5( \frac{1}{3} )
Steps to Solve
- Convert the wording to a mathematical expression
The problem asks for $\frac{2}{3}$ of 8, which can be written as a multiplication equation:
$$ \frac{2}{3} \times 8 $$
- Perform the multiplication
Multiply the fraction by the number:
$$ \frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3}$$
- Simplify the result
The fraction (\frac{16}{3}) cannot be simplified further. It can also be expressed as a mixed number:
$$\frac{16}{3} = 5\frac{1}{3}$$
The value of two-thirds of eight is ( \frac{16}{3} ) or 5( \frac{1}{3} )
More Information
Multiplying a whole number by a fraction is a common operation in arithmetic. This example illustrates how fractions and whole numbers interact.
Tips
A common mistake is to multiply the fraction incorrectly. Be careful to multiply the numerator by the whole number and keep the denominator the same.