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use the model the help answer the question. image of fraction bars what…

Question

use the model the help answer the question.
image of fraction bars
what fraction, when placed in the blank below, makes the equation true?
\\( \frac{6}{8} = \underline{?} \\)
\\( \bigcirc \\) a. \\( \frac{2}{3} \\)
\\( \bigcirc \\) b. \\( \frac{1}{2} \\)
\\( \bigcirc \\) c. \\( \frac{2}{6} \\)
\\( \bigcirc \\) d. \\( \frac{3}{4} \\)

Explanation:

Step1: Simplify the fraction $\frac{6}{8}$

To simplify a fraction, we find the greatest common divisor (GCD) of the numerator and the denominator and divide both by it. The GCD of 6 and 8 is 2. So we divide both the numerator and the denominator by 2: $\frac{6\div2}{8\div2}=\frac{3}{4}$.

Step2: Check the options

We compare the simplified fraction with the given options. Option D is $\frac{3}{4}$, which matches our simplified fraction.

Answer:

D. $\frac{3}{4}$