Solve for z 5/11z-1=16/11

Math
511z-1=1611
Combine 511 and z.
5z11-1=1611
Move all terms not containing z to the right side of the equation.
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Add 1 to both sides of the equation.
5z11=1611+1
Write 1 as a fraction with a common denominator.
5z11=1611+1111
Combine the numerators over the common denominator.
5z11=16+1111
Add 16 and 11.
5z11=2711
5z11=2711
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
5z=27
Divide each term by 5 and simplify.
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Divide each term in 5z=27 by 5.
5z5=275
Cancel the common factor of 5.
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Cancel the common factor.
5z5=275
Divide z by 1.
z=275
z=275
z=275
The result can be shown in multiple forms.
Exact Form:
z=275
Decimal Form:
z=5.4
Mixed Number Form:
z=525
Solve for z 5/11z-1=16/11

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