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Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.​
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Convert 1.45454... into a ratio of two integers. Enter your answer as a fraction in lowest terms.​

User Gondalez
by
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1 Answer

2 votes

Answer:

16/11

Explanation:

Let x = 1.45454...

Multiply both sides by 100:

100x = 145.454...

Subtract both sides by x:

100x - x = 145.454... - x

100x - x = 145.454... - 1.45454...

99x = 144

x = 144/99

The term can be simplified in lowest as 16/11. Hence, 1.45454... can be written as the ratio of two integers of 16/11

User TiernanO
by
7.4k points
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