Evaluate 7 5/12-2 3/4

Math
7512-234
Convert 7512 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
7+512-234
Add 7 and 512.
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To write 7 as a fraction with a common denominator, multiply by 1212.
7⋅1212+512-234
Combine 7 and 1212.
7⋅1212+512-234
Combine the numerators over the common denominator.
7⋅12+512-234
Simplify the numerator.
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Multiply 7 by 12.
84+512-234
Add 84 and 5.
8912-234
8912-234
8912-234
8912-234
Convert 234 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
8912-(2+34)
Add 2 and 34.
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To write 2 as a fraction with a common denominator, multiply by 44.
8912-(2⋅44+34)
Combine 2 and 44.
8912-(2⋅44+34)
Combine the numerators over the common denominator.
8912-2⋅4+34
Simplify the numerator.
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Multiply 2 by 4.
8912-8+34
Add 8 and 3.
8912-114
8912-114
8912-114
8912-114
To write -114 as a fraction with a common denominator, multiply by 33.
8912-114⋅33
Write each expression with a common denominator of 12, by multiplying each by an appropriate factor of 1.
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Multiply 114 and 33.
8912-11⋅34⋅3
Multiply 4 by 3.
8912-11⋅312
8912-11⋅312
Combine the numerators over the common denominator.
89-11⋅312
Simplify the numerator.
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Multiply -11 by 3.
89-3312
Subtract 33 from 89.
5612
5612
Cancel the common factor of 56 and 12.
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Factor 4 out of 56.
4(14)12
Cancel the common factors.
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Factor 4 out of 12.
4⋅144⋅3
Cancel the common factor.
4⋅144⋅3
Rewrite the expression.
143
143
143
The result can be shown in multiple forms.
Exact Form:
143
Decimal Form:
4.6‾
Mixed Number Form:
423
Evaluate 7 5/12-2 3/4

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