Uime Structure Keiko bakes two same-sized pies to sell at a bake sale. She sells \( \frac{4}{6} \) of the blueberry pie. She sells \( \frac{2}{3} \) of the apple pie. Are the two fractions quivalent? Draw a visual model to support your answ
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Beyond the Answer
To determine if the fractions \( \frac{4}{6} \) and \( \frac{2}{3} \) are equivalent, we can simplify \( \frac{4}{6} \). By dividing both the numerator and the denominator by their greatest common divisor, which is 2, we get \( \frac{2}{3} \). So yes, they are equivalent! For a visual model, you can imagine two circles representing each pie. For the blueberry pie, shade in 4 out of 6 equal sections (like slicing it into 6 pieces), and for the apple pie, shade in 2 out of 3 equal sections (like slicing it into 3 pieces). When you compare the two shaded areas, you'll see they cover the same proportion of each pie, affirming that \( \frac{4}{6} \) and \( \frac{2}{3} \) are indeed the same.