Express the number as the ratio of two integers.
-0.545454 . . .
A) 20/37
B) 6/11
C) 5 5/11
D) 2/37

Name: Express the number as the ratio of two integers. -0.545454 . . . A) 20/37 B) 6/11 C) 5 5/11 D) 2/37
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Question

Quizplus · Accepted Answer

0.545454... is a repeating decimal which can be expressed as a fraction. To convert it to a fraction, let x = 0.545454... Multiplying both sides by 100 gives 100x = 54.545454... Subtracting the original equation from this gives 99x = 54, so x = 54/99, which simplifies to 6/11.

Express the Number as the Ratio of Two Integers