To solve [tex]\(\frac{1}{2} \div 8\)[/tex], we need to follow the steps involved in dividing a fraction by a whole number. Here’s a step-by-step explanation:
1. Understand the division of a fraction by a whole number:
When dividing a fraction by a whole number, it is equivalent to multiplying the fraction by the reciprocal of the whole number.
2. Rewrite the division as multiplication:
The reciprocal of 8 is [tex]\(\frac{1}{8}\)[/tex]. Therefore,
[tex]\[
\frac{1}{2} \div 8 = \frac{1}{2} \times \frac{1}{8}
\][/tex]
3. Multiply the fractions:
To multiply fractions, multiply the numerators together and the denominators together:
[tex]\[
\frac{1}{2} \times \frac{1}{8} = \frac{1 \times 1}{2 \times 8} = \frac{1}{16}
\][/tex]
4. Simplify, if necessary:
The fraction [tex]\(\frac{1}{16}\)[/tex] is already in its simplest form.
So, the result of [tex]\(\frac{1}{2} \div 8\)[/tex] is:
[tex]\[
\frac{1}{16}
\][/tex]
In decimal form, [tex]\(\frac{1}{16}\)[/tex] is equal to 0.0625.
Thus, [tex]\(\frac{1}{2} \div 8\)[/tex] is equal to 0.0625.
