To divide [tex]\(0.05\)[/tex] by [tex]\(0.20\)[/tex], follow these steps:
1. Rewrite the Division Problem:
[tex]\[
\frac{0.05}{0.20}
\][/tex]
2. Simplify the Decimals:
To make the division easier, multiply both the numerator and the denominator by 100. This will eliminate the decimal points:
[tex]\[
\frac{0.05 \times 100}{0.20 \times 100} = \frac{5}{20}
\][/tex]
3. Perform the Division:
Now, divide 5 by 20:
[tex]\[
5 \div 20
\][/tex]
4. Simplify the Fraction:
The division [tex]\(5 \div 20\)[/tex] can be simplified by finding the greatest common divisor (GCD) of 5 and 20, which is 5. Thus:
[tex]\[
\frac{5 \div 5}{20 \div 5} = \frac{1}{4}
\][/tex]
5. Convert the Fraction to Decimal:
Finally, convert [tex]\(\frac{1}{4}\)[/tex] to a decimal:
[tex]\[
\frac{1}{4} = 0.25
\][/tex]
So, the result of [tex]\(0.05 \div 0.20\)[/tex] is [tex]\(0.25\)[/tex].
