Answer :
Final answer:
The expression (4/9 * 13/15) - (13/15 * 4/9) + (4/9 * 7/9) simplifies to 4/9 * 7/9 using the distributive property of multiplication. Simplifying this further gives 28/81.
Explanation:
To simplify the expression using the distributive property of multiplication we must remember that the distributive property states that a*(b+c) equals a*b + a*c. However, because this equation is in the format (a*b)-(b*a) + (a*c) you can notice that (a*b) and (b*a) are equivalent because multiplication is commutative, meaning the order does not affect the result. Therefore, these to terms cancel out leaving us with a*c. Applying this to the specific values in your problem, we get (4/9 * 13/15) - (13/15 * 4/9) + (4/9 * 7/9) simplifies to 4/9 * 7/9. To simplify this further, multiply the numerators (top numbers) to get the numerator of the answer, and multiply the denominators (bottom numbers) to get the denominator of the answer which results in 28/81.
Learn more about Distributive Property of Multiplication here:
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