To solve the problem [tex]\(\frac{1}{3} \div \frac{1}{4}\)[/tex], we can follow these steps:
1. Understand that dividing by a fraction is equivalent to multiplying by its reciprocal:
[tex]\[
\frac{1}{3} \div \frac{1}{4} = \frac{1}{3} \times \frac{4}{1}
\][/tex]
2. Multiply the fractions:
When multiplying fractions, you multiply the numerators together and the denominators together:
[tex]\[
\frac{1}{3} \times \frac{4}{1} = \frac{1 \times 4}{3 \times 1} = \frac{4}{3}
\][/tex]
3. Convert the improper fraction to a decimal (if necessary):
To convert [tex]\(\frac{4}{3}\)[/tex] to a decimal, you perform the division [tex]\(4 \div 3\)[/tex]:
[tex]\[
4 \div 3 = 1.3333333333333333 \ldots
\][/tex]
So, the result of [tex]\(\frac{1}{3} \div \frac{1}{4}\)[/tex] is [tex]\(\frac{4}{3}\)[/tex] or approximately [tex]\(1.3333333333333333\)[/tex].
