4 UPe 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 equivalent? Draw a visual model to support your answ
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To determine if \( \frac{4}{6} \) and \( \frac{2}{3} \) are equivalent, we can simplify \( \frac{4}{6} \) by dividing both the numerator and the denominator by 2, resulting in \( \frac{2}{3} \). Since both fractions simplify to the same value, they are indeed equivalent! For a visual model, imagine two identical pies. For the blueberry pie, shade \( 4 \) out of \( 6 \) equal parts, which shows \( \frac{4}{6} \). Then, for the apple pie, shade \( 2 \) out of \( 3 \) equal parts, covering \( \frac{2}{3} \). Both models will show the same amount shaded, reinforcing that the fractions are equivalent!