Divide and answer in simplest form: \(\frac { 1} { 3} \) divided by 5. 

Step 1:  
Division of Fractions: 

To divide by a number, multiply by its reciprocal.  
 

Step 2:

Reciprocal of 5: 

The reciprocal of 5 is \(\frac { 1} { 5} \).  
 

Step 3:

Multiplication:  
\[\frac { 1} { 3} \div 5 = \frac { 1} { 3} \times \frac { 1} { 5} = \frac { 1 \times 1} { 3 \times 5} = \frac { 1} { 15} \]

Step 4:  
Therefore, \(\frac { 1} { 3} \div 5 = \frac { 1} { 15} \).

Supplemental Knowledge:

Dividing fractions might seem tricky at first, but it becomes straightforward once you understand the process. When dividing fractions, you actually multiply by the reciprocal of the divisor. Here’s a step-by-step guide:

1. Understand the Reciprocal: 
The reciprocal of a number is what you multiply it by to get 1. For example, the reciprocal of 5 is \(\frac { 1} { 5} \).

2. Convert Division to Multiplication: 
To divide by a fraction, multiply by its reciprocal.

3. Simplify if Necessary: 
After multiplying, simplify the fraction to its simplest form if possible.

Everyday Examples:

Imagine you are baking and have \(\frac { 1} { 3} \) cup of sugar but need to distribute it evenly into 5 smaller portions for different recipes: 
Instead of measuring each portion individually, you can calculate how much sugar each portion will get by dividing \(\frac { 1} { 3} \) cup by 5. 
This helps ensure that each recipe gets an equal amount without having to measure repeatedly.

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For those keen on mastering fractions or seeking help with other mathematical topics, try UpStudy’s Fractions Calculator today! Enhance your mathematical skills with us!