\( M P \) Use 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 fraction equivalent? Draw a visual model to support your ans

To determine if \( \frac{4}{6} \) and \( \frac{2}{3} \) are equivalent, let's simplify \( \frac{4}{6} \) first. By dividing both the numerator and the denominator by 2, we get \( \frac{2}{3} \). This shows that the two fractions are indeed equivalent! To visualize this, you could draw two circles representing two pies. In the first circle (blueberry pie), shade in \( \frac{4}{6} \) by dividing the pie into 6 equal parts and shading 4 of them. In the second circle (apple pie), divide it into 3 equal parts and shade 2 of them. You will see that the shaded portions represent the same amount of pie, reinforcing that \( \frac{4}{6} \) and \( \frac{2}{3} \) are equivalent!