1.361‾

Set up an equation with 1.361‾.

x=1.361‾

Create two equations where the only numbers to the right of the decimal place are the repeating part.

Multiply both sides of x=1.361‾ by 100 to create the first equation.

100x=136.1‾

Multiply both sides of x=1.361‾ by 1000 to create the second equation.

1000x=1361.1‾

Subtract 100x=136.1‾ from 1000x=1361.1‾ to remove the repeating part.

900x=1225

Divide each term in 900x=1225 by 900.

900×900=1225900

Cancel the common factor of 900.

Cancel the common factor.

900×900=1225900

Divide x by 1.

x=1225900

x=1225900

Cancel the common factor of 1225 and 900.

Factor 25 out of 1225.

x=25(49)900

Cancel the common factors.

Factor 25 out of 900.

x=25⋅4925⋅36

Cancel the common factor.

x=25⋅4925⋅36

Rewrite the expression.

x=4936

x=4936

x=4936

x=4936

The fractional form is the solution to the equation.

4936

Convert to a Fraction 1.361111111111