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Which fraction is equivalent to 6/8?

Check the final answer first, then review the worked steps.

Problem

Which fraction is equivalent to 6/8?

Answer

\(3/4\)

Step-by-step solution

  1. Identify the goal: The objective is to find a fraction equivalent to $\frac{6}{8}$.
  1. Simplify the given fraction: To find an equivalent fraction, we can simplify $\frac{6}{8}$ by dividing both the numerator and the denominator by their greatest common divisor (GCD). The factors of 6 are 1, 2, 3, and 6. The factors of 8 are 1, 2, 4, and 8. The greatest common divisor is 2.

3. Perform the division: Divide the numerator and denominator by 2:
$$\frac{6 \div 2}{8 \div 2} = \frac{3}{4}$$

  1. Compare with the options: Comparing the result $\frac{3}{4}$ with the given options (1/4, 2/3, 3/4, 4/5), we can see that $\frac{3}{4}$ is one of the choices.