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Simplify 1/4 (1-2/3)^2+1/3

Simplify 1/4 (1-2/3)^2+1/3
104k views
2 votes
Simplify

1/4 (1-2/3)^2+1/3

User Wiles Duan
by
8.3k points

2 Answers

4 votes
in exact form: 13/36

in decimal form: 0.36111111...
User Derigel
by
8.9k points
1 vote

(1)/(4) * (1-2/3)^(2) + (1)/(3)

=
(1)/(4) * ( 1 - (4)/(3) + (4)/(9) ) + (1)/(3)

=
(1)/(4) - (1)/(3) + (1)/(9) + (1)/(3)

=
(1)/(4) + (1)/(9)

=
(9 + 4)/(9 * 4)

=
(13)/(36)

User RIYAJ KHAN
by
8.3k points
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