# Solve for n 9 5/9-n=8 2/9

959-n=829
Convert 959 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
9+59-n=829
To write 9 as a fraction with a common denominator, multiply by 99.
9⋅99+59-n=829
Combine 9 and 99.
9⋅99+59-n=829
Combine the numerators over the common denominator.
9⋅9+59-n=829
Simplify the numerator.
Multiply 9 by 9.
81+59-n=829
869-n=829
869-n=829
869-n=829
869-n=829
Convert 829 to an improper fraction.
A mixed number is an addition of its whole and fractional parts.
869-n=8+29
To write 8 as a fraction with a common denominator, multiply by 99.
869-n=8⋅99+29
Combine 8 and 99.
869-n=8⋅99+29
Combine the numerators over the common denominator.
869-n=8⋅9+29
Simplify the numerator.
Multiply 8 by 9.
869-n=72+29
869-n=749
869-n=749
869-n=749
869-n=749
Move all terms not containing n to the right side of the equation.
Subtract 869 from both sides of the equation.
-n=749-869
Combine the numerators over the common denominator.
-n=74-869
Subtract 86 from 74.
-n=-129
Cancel the common factor of -12 and 9.
Factor 3 out of -12.
-n=3(-4)9
Cancel the common factors.
Factor 3 out of 9.
-n=3⋅-43⋅3
Cancel the common factor.
-n=3⋅-43⋅3
Rewrite the expression.
-n=-43
-n=-43
-n=-43
Move the negative in front of the fraction.
-n=-43
-n=-43
Multiply each term in -n=-43 by -1
Multiply each term in -n=-43 by -1.
(-n)⋅-1=-43⋅-1
Multiply (-n)⋅-1.
Multiply -1 by -1.
1n=-43⋅-1
Multiply n by 1.
n=-43⋅-1
n=-43⋅-1
Multiply -43⋅-1.
Multiply -1 by -1.
n=1(43)
Multiply 43 by 1.
n=43
n=43
n=43
The result can be shown in multiple forms.
Exact Form:
n=43
Decimal Form:
n=1.3‾
Mixed Number Form:
n=113
Solve for n 9 5/9-n=8 2/9

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