Final answer:
Upon evaluating the expression 3(1/5) × 10(7/9) - 2(2/5) × 10(8/9), the result in mixed number form is -2(4/9), which does not match any of the given answer choices. There might be a typo or a mistake in the provided options or the process.
Step-by-step explanation:
To solve the expression 3(1/5) × 10(7/9) - 2(2/5) × 10(8/9), we follow the order of operations, also known as PEDMAS (Parentheses, Exponents, Multiplication and Division from left to right, Addition and Subtraction from left to right).
First, we calculate the multiplication within each term:
- For 3(1/5) we get 3/5 or 0.6
- For 10(7/9), we get 70/9 or 7.777...
- For 2(2/5), we get 4/5 or 0.8
- For 10(8/9), we get 80/9 or 8.888...
Then, we multiply the obtained numbers for each term:
- 0.6 × 7.777... = 4.666...
- 0.8 × 8.888... = 7.111...
Now, we subtract the second term from the first:
4.666... - 7.111... = -2.444...
Converting this result back to mixed numbers:
-2.444... = -2(4/9)
We choose the answer option that matches -2(4/9). In this case, none of the provided answer choices match, so there might be a mistake in the process or the question may have a typo.