Sure, let's solve the problem step-by-step.
To find [tex]\(\frac{1}{4}\)[/tex] of [tex]\(\frac{1}{4}\)[/tex], we need to multiply these two fractions.
Step 1: Write down the fractions we need to multiply.
[tex]\[
\frac{1}{4} \times \frac{1}{4}
\][/tex]
Step 2: Multiply the numerators (the top numbers) together.
[tex]\[
1 \times 1 = 1
\][/tex]
Step 3: Multiply the denominators (the bottom numbers) together.
[tex]\[
4 \times 4 = 16
\][/tex]
Step 4: Write the result as a fraction.
[tex]\[
\frac{1 \times 1}{4 \times 4} = \frac{1}{16}
\][/tex]
So, the result of [tex]\(\frac{1}{4}\)[/tex] of [tex]\(\frac{1}{4}\)[/tex] is:
[tex]\[
\frac{1}{16}
\][/tex]
When this fraction is converted to a decimal, it equals 0.0625.
Therefore, the answer is [tex]\(0.0625\)[/tex].