1.035‾

Set up an equation with 1.035‾.

x=1.035‾

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

Multiply both sides of x=1.035‾ by 10 to create the first equation.

10x=10.35‾

Multiply both sides of x=1.035‾ by 1000 to create the second equation.

1000x=1035.35‾

Subtract 10x=10.35‾ from 1000x=1035.35‾ to remove the repeating part.

990x=1025

Divide each term in 990x=1025 by 990.

990×990=1025990

Cancel the common factor of 990.

Cancel the common factor.

990×990=1025990

Divide x by 1.

x=1025990

x=1025990

Cancel the common factor of 1025 and 990.

Factor 5 out of 1025.

x=5(205)990

Cancel the common factors.

Factor 5 out of 990.

x=5⋅2055⋅198

Cancel the common factor.

x=5⋅2055⋅198

Rewrite the expression.

x=205198

x=205198

x=205198

x=205198

The fractional form is the solution to the equation.

205198

Convert to a Fraction 1.035353535