To express the decimal number 0.0063 as a fraction in its simplest form, follow these steps:
1. Write the decimal as a fraction:
Start by expressing 0.0063 as a fraction with a denominator based on its decimal placement. Since 0.0063 has four digits after the decimal point, we can write it as:
[tex]\[
0.0063 = \frac{63}{10000}
\][/tex]
2. Simplify the fraction:
Next, simplify the fraction by dividing both the numerator and the denominator by their Greatest Common Divisor (GCD). In this case, the fraction [tex]\(\frac{63}{10000}\)[/tex] is already in its simplest form because the GCD of 63 and 10000 is 1.
Thus, the fraction representation of the decimal 0.0063 in its simplest form is:
[tex]\[
\frac{63}{10000}
\][/tex]
