Evaluate 1/11+1/4-11/12

Math
111+14-1112
To write 111 as a fraction with a common denominator, multiply by 44.
111⋅44+14-1112
To write 14 as a fraction with a common denominator, multiply by 1111.
111⋅44+14⋅1111-1112
Write each expression with a common denominator of 44, by multiplying each by an appropriate factor of 1.
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Multiply 111 and 44.
411⋅4+14⋅1111-1112
Multiply 11 by 4.
444+14⋅1111-1112
Multiply 14 and 1111.
444+114⋅11-1112
Multiply 4 by 11.
444+1144-1112
444+1144-1112
Combine the numerators over the common denominator.
4+1144-1112
Add 4 and 11.
1544-1112
To write 1544 as a fraction with a common denominator, multiply by 33.
1544⋅33-1112
To write -1112 as a fraction with a common denominator, multiply by 1111.
1544⋅33-1112⋅1111
Write each expression with a common denominator of 132, by multiplying each by an appropriate factor of 1.
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Multiply 1544 and 33.
15⋅344⋅3-1112⋅1111
Multiply 44 by 3.
15⋅3132-1112⋅1111
Multiply 1112 and 1111.
15⋅3132-11⋅1112⋅11
Multiply 12 by 11.
15⋅3132-11⋅11132
15⋅3132-11⋅11132
Combine the numerators over the common denominator.
15⋅3-11⋅11132
Simplify the numerator.
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Multiply 15 by 3.
45-11⋅11132
Multiply -11 by 11.
45-121132
Subtract 121 from 45.
-76132
-76132
Cancel the common factor of -76 and 132.
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Factor 4 out of -76.
4(-19)132
Cancel the common factors.
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Factor 4 out of 132.
4⋅-194⋅33
Cancel the common factor.
4⋅-194⋅33
Rewrite the expression.
-1933
-1933
-1933
Move the negative in front of the fraction.
-1933
The result can be shown in multiple forms.
Exact Form:
-1933
Decimal Form:
-0.57‾
Evaluate 1/11+1/4-11/12

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