Question

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What is 0.36 expressed as a fraction in simplest form?

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What is 0.36 expressed as a fraction in simplest form?

Answer 1

0.36 = 36/100 = 9/25

so the simplest form is 9/25

Answer 2

let x = 0.3636363636…

then 100x = 36.363636…

Subtract the two from each other you get

100x - x = 36.363636… - 0.363636…

Notice that the repeating 36s line up perfectly and will subtract out to exactly 0/

99x = 36 : Divide both sides by 99

x = 36/99 : Divide out the common 9 in both the numerator and the denominator

x = 4/11