Final Answer:
The result of the expression 1 4 9(-2 4 7) is -20 36 63, written as a mixed number in simplest form.
Step-by-step explanation:
To find the product of 1 4 9 and (-2 4 7), we multiply each component separately. Starting with the whole numbers, 1 * (-2) gives us -2. Moving on to the fractions, 4/9 multiplied by 4/7 results in (4 * 4) / (9 * 7), which simplifies to 16/63. Finally, for the last part, 9 * 7 equals 63. Putting it all together, we get -2 16/63 63.
To express this mixed number in simplest form, we need to simplify the fraction 16/63. The greatest common divisor (GCD) of 16 and 63 is 1, meaning that the fraction is already in its simplest form. Therefore, the final answer is -2 16/63 63.
In summary, when multiplying 1 4 9 by (-2 4 7), the result is -20 36 63. Breaking down the calculation into whole numbers and fractions, we ensure accuracy in each step. Simplifying the resulting fraction gives us the answer in its simplest form, highlighting the importance of reducing fractions to their lowest terms in mathematical expressions.