Final answer:
None of the provided options, (a) 7/9 - 4/7 + 9, (b) 8/9 - 4/7 + 9, (c) 8/9 + 7/4 - 9, or (d) 8/9 + 4/7 + 9, is equivalent to the expression 8/9 + 4/7 - 9. Each option has a different operation or number.
Step-by-step explanation:
The expression 8/9 + 4/7 - 9 involves adding and subtracting fractions and whole numbers. To determine which of the provided options is equivalent to this expression, we must understand the operations involved:
- Addition of fractions: You need a common denominator to add fractions, which for 8/9 and 4/7 is not provided; so this step would involve calculating an equivalent fraction.
- Subtraction of a whole number: Subtracting 9 from the result of the fraction addition will give you the final answer.
None of the given options, (a) 7/9 - 4/7 + 9, (b) 8/9 - 4/7 + 9, (c) 8/9 + 7/4 - 9, or (d) 8/9 + 4/7 + 9 are equivalent because each one has a different number or operation from the original expression. Option (b) is the closest, but it has a plus sign instead of a minus before the 9.