Question 159528
1 3/5 x - 2 1/4 = 1 2/3
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I assume the problems is:
1{{{3/5}}}x - 2{{{1/4}}} = 1{{{2/3}}}
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Change them all from mixed numbers to improper fractions
(I assume you know how to do that, if not, email me and we can go over it)
{{{8/5}}}x - {{{9/4}}} = {{{5/3}}}
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Get rid of the denominators, multiplying by 60 will do this for us:
(note that all the denominators are factors of 60)
60*{{{8/5}}}x - 60*{{{9/4}}} = 60*{{{5/3}}}
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Cancel out the denominators and you have:
12(8)x - 15(9) = 20(5)
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96x - 135 = 100
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Add 135 to both sides:
96x = 100 + 135
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96x = 235
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Divide both sides by 96:
x = {{{235/96}}}
Using pencil long division you will come up with a mixed fraction
x = 2{{{43/96}}}
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Check solution on a calc
Enter (8/5)(235/96) - (9/4) = 1.6666 which is 1{{{2/3}}}
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I suggest you study each step until you understand it. It will be worth the time and trouble.