Evaluate 8 1/4-5 2/3

Math
814-523
Convert 814 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
8+14-523
Add 8 and 14.
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To write 8 as a fraction with a common denominator, multiply by 44.
8⋅44+14-523
Combine 8 and 44.
8⋅44+14-523
Combine the numerators over the common denominator.
8⋅4+14-523
Simplify the numerator.
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Multiply 8 by 4.
32+14-523
Add 32 and 1.
334-523
334-523
334-523
334-523
Convert 523 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
334-(5+23)
Add 5 and 23.
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To write 5 as a fraction with a common denominator, multiply by 33.
334-(5⋅33+23)
Combine 5 and 33.
334-(5⋅33+23)
Combine the numerators over the common denominator.
334-5⋅3+23
Simplify the numerator.
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Multiply 5 by 3.
334-15+23
Add 15 and 2.
334-173
334-173
334-173
334-173
To write 334 as a fraction with a common denominator, multiply by 33.
334⋅33-173
To write -173 as a fraction with a common denominator, multiply by 44.
334⋅33-173⋅44
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 334 and 33.
33⋅34⋅3-173⋅44
Multiply 4 by 3.
33⋅312-173⋅44
Multiply 173 and 44.
33⋅312-17⋅43⋅4
Multiply 3 by 4.
33⋅312-17⋅412
33⋅312-17⋅412
Combine the numerators over the common denominator.
33⋅3-17⋅412
Simplify the numerator.
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Multiply 33 by 3.
99-17⋅412
Multiply -17 by 4.
99-6812
Subtract 68 from 99.
3112
3112
The result can be shown in multiple forms.
Exact Form:
3112
Decimal Form:
2.583‾
Mixed Number Form:
2712
Evaluate 8 1/4-5 2/3

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