Solve for a 1 1/3+a=-4

Math
113+a=-4
Convert 113 to an improper fraction.
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A mixed number is an addition of its whole and fractional parts.
1+13+a=-4
Add 1 and 13.
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Write 1 as a fraction with a common denominator.
33+13+a=-4
Combine the numerators over the common denominator.
3+13+a=-4
Add 3 and 1.
43+a=-4
43+a=-4
43+a=-4
Move all terms not containing a to the right side of the equation.
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Subtract 43 from both sides of the equation.
a=-4-43
To write -4 as a fraction with a common denominator, multiply by 33.
a=-4⋅33-43
Combine -4 and 33.
a=-4⋅33-43
Combine the numerators over the common denominator.
a=-4⋅3-43
Simplify the numerator.
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Multiply -4 by 3.
a=-12-43
Subtract 4 from -12.
a=-163
a=-163
Move the negative in front of the fraction.
a=-163
a=-163
The result can be shown in multiple forms.
Exact Form:
a=-163
Decimal Form:
a=-5.3‾
Mixed Number Form:
a=-513
Solve for a 1 1/3+a=-4

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