Respuesta :

When changing a percent to a decimal move the decimal already there over 2 spaces to the left. So 77.7% would be .777 in decimal form.

Answer:

[tex]0.777=0.\overline{7}[/tex]

Step-by-step explanation:

We are asked to write 77.7% as a decimal.

We know that percent means per hundred.

To write 77.7% as decimal, we will divide 77.7 by 100 as:

[tex]77.7\%=\frac{77.7}{100}[/tex]

Move decimal to left by two digits.

[tex]77.7\%=\frac{77.7}{100}=0.777[/tex]

Let us set 0.777 equal to x as:

[tex]x=0.777[/tex]

We can see that our decimal has three 7 digits after decimal, therefore, 1 digit is repeating after decimal.