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# math

+10
917
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what percent of 1/3 is 5/9?
Guest Jan 28, 2012

#3
+83953
+5

5/9 is larger than 1/3...so it has to be more than 100% of it

1/3 = 3/9     so dividing, we have

5/9 / 3/9   = 5/3  = 1.66 ≈ 166%

CPhill  Jun 7, 2014
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#1
+3074
0
[input]1/3 * x/100= 5/9[/input]
#2
+39
0

(x/100)*(1/3) = (5/9)

(x/100) = (5/9)*(3/1)

(x/100) = 15/9

x = (15/9)*100

x = 1500/9 = 500/3 = 16.6666

x = 16.67 % as a percent to two decimal places

* Note: The use of 100 in the algebra was not entirely necessary, but using 100 often helps students with problems using percent notation.

jjzamball  Jun 7, 2014
#3
+83953
+5

5/9 is larger than 1/3...so it has to be more than 100% of it

1/3 = 3/9     so dividing, we have

5/9 / 3/9   = 5/3  = 1.66 ≈ 166%

CPhill  Jun 7, 2014

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