511t-2=1611

Combine 511 and t.

5t11-2=1611

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.

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 in 5t=38 by 5.

5t5=385

Cancel the common factor of 5.

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