-   0.36 = 36 = 4 99 11

To convert 0.36 into the form of p/q, where p and q are integers and q is not equal to zero, we can follow these steps:

1. Write down the decimal as a fraction with a denominator of 1, followed by a sufficient number of zeros.

0.36 = 0.36/1

1. Multiply both the numerator and denominator by 100 to eliminate the decimal point.

0.36/1 x 100/100 = 36/100

1. Reduce the fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor.

The greatest common factor of 36 and 100 is 4, so we can simplify the fraction as follows:

36/100 ÷ 4/4 = 9/25

Therefore, 0.36 expressed in the form of p/q equals 9/25.

Now, let's check which option is correct:

A. 4/11 ≈ 0.3636

B. 4/13 ≈ 0.3077

C. 35/90 = 7/18 ≈ 0.3889

D. 35/99 ≈ 0.3535

None of the options match the value we obtained for 0.36 expressed in the form of p/q, which is 9/25. Therefore, the correct answer is option A, none of these.

In summary, when converting a decimal into a fraction in the form of p/q:

• Write the decimal as a fraction with a denominator of 1, followed by a sufficient number of zeros.
• Multiply both the numerator and denominator by 10 raised to the power of the number of decimal places to eliminate the decimal point.
• Reduce the resulting fraction to its lowest terms by dividing both the numerator and denominator by their greatest common factor.
• Verify that the resulting fraction matches one of the given options.

If you think the solution is wrong then please provide your own solution below in the comments section .