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Which simplified fraction is equal to 0.17 (7 is repeating)

A.9/17
B.8/45
C.17/9
D.16/90

2 Answers

2 votes

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).

User Tyler Carberry
by
6.1k points
4 votes

A.9/17 = 0,5294117647058824

B.8/45 = 0,1777777777777778

C.17/9 = 1,888888888888889

D.16/90 = 0,1777777777777778

your answer is B and D


User Cassie
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5.8k points