Convert to a Fraction 1.361111111111

Math
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 by 900 and simplify.
Tap for more steps…
Divide each term in 900x=1225 by 900.
900×900=1225900
Cancel the common factor of 900.
Tap for more steps…
Cancel the common factor.
900×900=1225900
Divide x by 1.
x=1225900
x=1225900
Cancel the common factor of 1225 and 900.
Tap for more steps…
Factor 25 out of 1225.
x=25(49)900
Cancel the common factors.
Tap for more steps…
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

Solving MATH problems

We can solve all math problems. Get help on the web or with our math app

Scroll to top