To solve the division problem [tex]\(\frac{1}{3} \div 3\)[/tex], follow these steps:
1. Understand what the division represents: Dividing by a number is the same as multiplying by its reciprocal. So, [tex]\(\frac{1}{3} \div 3\)[/tex] can be rewritten as [tex]\(\frac{1}{3} \times \frac{1}{3}\)[/tex].
2. Rewrite the division as multiplication:
[tex]\[
\frac{1}{3} \div 3 = \frac{1}{3} \times \frac{1}{3}
\][/tex]
3. Multiply the fractions: To multiply fractions, you simply multiply the numerators together and the denominators together.
[tex]\[
\frac{1}{3} \times \frac{1}{3} = \frac{1 \times 1}{3 \times 3} = \frac{1}{9}
\][/tex]
4. Convert the fraction to decimal form (if needed): [tex]\(\frac{1}{9}\)[/tex] as a decimal is approximately 0.1111111111111111.
Thus, the result of [tex]\(\frac{1}{3} \div 3\)[/tex] is approximately 0.1111111111111111.
