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HOW TO CONVERT A REPEATING DECIMAL TO A FRACTION (0.5454545454)
PLEASE SHOW YOUR WORK AND EXPLAIN THIS

Sagot :

mwachangumohammed4

Answer:

6/11

Step-by-step explanation:

let r be 0.54545454

multiply both sides by ten

10r = 5.4545454

since after the decimal point the digits between r and 10r are nor equal, we multiply again both sides by ten

100r = 54.54545454

since the digits after the decimal point between r and 100r are equal, we subtract the two

100r - r = 54.54545454 - 0.54545454

99r = 54

divide both side by 99

99r/99 = 54/99

through further simplification

r = 6/11

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