Final answer:
To turn -0.63 into a fraction in simplest form, you divide 63 and 100 by their greatest common divisor, which is 9, resulting in -7/10.
Step-by-step explanation:
To represent -0.63 as a fraction in its simplest form, we recognize that the decimal 0.63 is equivalent to 63 hundredths, expressed as 63/100. In order to simplify this fraction, we identify the common factor of 9 that divides both the numerator (63) and the denominator (100). Dividing both by 9 yields the simplified fraction 7/10. Therefore, the process involves converting the decimal to a fraction, recognizing the initial numerator and denominator, and then simplifying by identifying common factors.
The final result, -7/10, represents the original decimal -0.63 in its simplest fractional form. This conversion from a decimal to a simplified fraction is a mathematical technique useful for expressing decimal values in a more concise and standardized manner.