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# Decimals

0
55
1

Subtract $$0.\overline{02}$$ from $$0.\overline{0.002}$$ and express the result as a fraction.

Mar 9, 2022

#1
+36417
+2

I would first convert to fractions then do the subtraction  ( it will be a negative answer)

x = .02020202.....

100x = 2.02020202

99x = 2

x = 2/99

y = .002002002....

1000y = 2.002002...

999y = 2

y = 2/999

2/999 - 2/99 =  (22- 222) / 10989   = -200 / 10989

Mar 9, 2022

#1
+36417
+2

I would first convert to fractions then do the subtraction  ( it will be a negative answer)

x = .02020202.....

100x = 2.02020202

99x = 2

x = 2/99

y = .002002002....

1000y = 2.002002...

999y = 2

y = 2/999

2/999 - 2/99 =  (22- 222) / 10989   = -200 / 10989

ElectricPavlov Mar 9, 2022