Solve for t 5/11t-2=16/11

Math
511t-2=1611
Combine 511 and t.
5t11-2=1611
Move all terms not containing t to the right side of the equation.
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Add 2 to both sides of the equation.
5t11=1611+2
To write 2 as a fraction with a common denominator, multiply by 1111.
5t11=1611+2⋅1111
Combine 2 and 1111.
5t11=1611+2⋅1111
Combine the numerators over the common denominator.
5t11=16+2⋅1111
Simplify the numerator.
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Multiply 2 by 11.
5t11=16+2211
Add 16 and 22.
5t11=3811
5t11=3811
5t11=3811
Since the expression on each side of the equation has the same denominator, the numerators must be equal.
5t=38
Divide each term by 5 and simplify.
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Divide each term in 5t=38 by 5.
5t5=385
Cancel the common factor of 5.
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Cancel the common factor.
5t5=385
Divide t by 1.
t=385
t=385
t=385
The result can be shown in multiple forms.
Exact Form:
t=385
Decimal Form:
t=7.6
Mixed Number Form:
t=735
Solve for t 5/11t-2=16/11

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