Final answer:
To find the simplified fraction that is equal to 0.17 (7 is repeating), we can convert the repeating decimal to a fraction. The simplified fraction is 8/45 (Option B).
Step-by-step explanation:
To find the simplified fraction that is equal to 0.17 (7 is repeating), we can use the method of converting the repeating decimal to a fraction.
Let x = 0.17 (7 is repeating). Multiplying both sides by 100 (since we have two decimal places after the decimal point) gives us 100x = 17.777 (7 is repeating).
Subtracting the original equation from the multiplied equation gives us 99x = 17.6. Solving for x gives us x = 17.6/99 = 8/45.
So, the simplified fraction that is equal to 0.17 (7 is repeating) is 8/45 (Option B).