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

  1. Convert the wording to a mathematical expression

The problem asks for $\frac{2}{3}$ of 8, which can be written as a multiplication equation:

$$ \frac{2}{3} \times 8 $$

  1. Perform the multiplication

Multiply the fraction by the number:

$$ \frac{2}{3} \times 8 = \frac{2 \times 8}{3} = \frac{16}{3}$$

  1. 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.

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