Explain why you cannot add or subtract fractions with unlike denominators while you can add or subtract fractions with like denominators. Include one or more real-world examples in your explanation.
Pls make it very short
Fractions with unlike denominators represent different-sized wholes, making them incompatible for addition or subtraction. Fractions with like denominators represent the same-sized wholes, allowing for addition or subtraction.
You cannot add or subtract fractions with unlike denominators because the denominators represent the size or division of the whole. When the denominators are different, the fractions refer to different-sized wholes, making them incompatible for addition or subtraction.
For example, imagine you have a cake divided into 4 equal pieces and another cake divided into 3 equal pieces. You cannot add or subtract a fraction from one cake with a different fraction from the other cake because the pieces are not the same size. It would be like trying to add or subtract different-sized slices of cake. On the other hand, if you have two cakes divided into 4 equal pieces each, you can add or subtract fractions with the same denominators because the cakes are divided in the same manner.