5.6‾

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

Set up an equation with 5.6‾.

x=5.6‾

Multiply both sides of x=5.6‾ by 10 to create the second equation.

10x=56.6‾

Subtract x=5.6‾ from 10x=56.6‾ to remove the repeating part.

9x=51

Divide each term in 9x=51 by 9.

9×9=519

Cancel the common factor of 9.

Cancel the common factor.

9×9=519

Divide x by 1.

x=519

x=519

Cancel the common factor of 51 and 9.

Factor 3 out of 51.

x=3(17)9

Cancel the common factors.

Factor 3 out of 9.

x=3⋅173⋅3

Cancel the common factor.

x=3⋅173⋅3

Rewrite the expression.

x=173

x=173

x=173

x=173

The fractional form is the solution to the equation.

173

Convert to a Fraction 5.6666666667