Asked by cheeseplatterplagg
Which fraction is equivalent to 0.75? (there is a line over 75)
a. 75/100
b. 20/33
c. 25/33
d. 3/4
i thought it was d but that is when the decimal doesn't repeat so im confused :(
a. 75/100
b. 20/33
c. 25/33
d. 3/4
i thought it was d but that is when the decimal doesn't repeat so im confused :(
Answers
Answered by
Reiny
The bar over the digits 75 means that the 75 keeps repeating forever
let x = .75757575...
multiply by 100
100x = 75.757575....
subtract:
99x = 75
x = 75/99 = 25/33
use your calculator to verify.
the multiplication by 100 matches with the number of digits repeating, that is,
if 3 digits had repeated, I would have multiplied by 1000, etc
let x = .75757575...
multiply by 100
100x = 75.757575....
subtract:
99x = 75
x = 75/99 = 25/33
use your calculator to verify.
the multiplication by 100 matches with the number of digits repeating, that is,
if 3 digits had repeated, I would have multiplied by 1000, etc
Answered by
cheeseplatterplagg
thank you so much reiny! now i have a better understanding :)
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