A few days ago
Anonymous

decimal into fraction help algebra!??

how do you write the decimal as a fraction in simplest form?

-0.26666 with only the 6 repeating?

thanks

Top 3 Answers
A few days ago
MsMath

Favorite Answer

-0.266666666….

First break off the part that is not repeating

= -0.2 – 0.066666…..

-0.2 can be written as a fraction

-0.2 = -1/5

-0.066666… = 6/90 = 1/15

-1/5 – 1/15

= -3/15 – 1/15

= -4/15

See the link below for a very good explanation.

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A few days ago
Dean J
To answer this the value 0.266… is given the letter x. The calculation is as follows…

x = -0.2666….

so 10x = -2.666…

so 100x = -26.666…

10x – 100x = -26.666 – -2.666

so -90x = 24

so x = -24/90

-24/90 can be cancelled down to -4/15 which is your answer.

-0.2666…. = -4/15

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A few days ago
Wayne G
26666 over 100,000 is the fraction, so divided by two is 13333 over 50,000, whether the minus sign is in front of it or not.
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