5 - Fractions, Decimals and Percentages Flashcards

1
Q

How do you make 0.5 recurring (0.55555555……) into a fraction

A
0.55555...... = x
10x = 5.55555555...
10x - x = 5.5555555... - 0.55555555...
9x = 5
x = 5/9
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2
Q

How do you know if a fraction creates a terminating decimal?

A

If the prime factors of the denominator are just 2 and 5 then it is terminating

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