How do you convert 0.03 (3 being repeated) to a fraction?

To convert 0.03 (with 3 repeating) to a fraction, follow these steps:

Let x represent the repeating decimal:
x = 0.033333...

Since the digit "3" repeats, multiply both sides of the equation by 10 to shift the decimal point to the right:
10x = 0.333333...

Now subtract the original equation (x = 0.033333...) from the new equation (10x = 0.333333...):

10x - x = 0.333333... - 0.033333...

This simplifies to: 9x = 0.3

Solve for x:

x = 0.3 / 9

Simplify the fraction:

x = 3 / 90

x = 1 / 30

Thus, the repeating decimal 0.03 (with 3 repeating) as a fraction is 1/30.