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Brut [27]
3 years ago
12

2 1/4 was subtracted twice from a number; then 1/8 was subtracted three times and 2/3 was subtracted twice. The resulting number

is 3 11/24 . Find the number
Mathematics
1 answer:
Serggg [28]3 years ago
3 0
We will call the unknown number <em>x</em>.
<em /><em>x</em> - 2 1/4 - 1/8(3) - 2/3(2) = 3 11/24
<em>x</em> - 2 1/4 - (1/8)(3/1) - (2/3)(2/1) = 3 11/24
<em>x</em> - 2 1/4 - 3/8 - 4/3 = 3 11/24
We need a common denominator.  24 is the first number that 4, 8 and 3 all both divide evenly into.
<em>x</em> - 2 6/24 - 9/24 - 32/24 = 3 11/24
<em>x</em> - 2 15/24 - 32/24 = 3 11/24
<em>x</em> - 2 47/24 = 3 11/24
<em>x</em> - 3 23/24 = 3 11/24
Cancel the 3 23/34 by adding to both sides:
<em>x</em> - 3 23/24 + 3 23/24 = 3 11/24 + 3 23/24
<em>x</em> = 6 34/24 = 7 10/24 = 7 5/12
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