Can you simplify \(\frac { 6} { 3} \)?

Divide the numerator by the denominator:

\[\frac { 6} { 3} = \frac { 3\times 2} { 3} = 2\]

So, \(\frac { 6} { 3} \) simplifies to 2.

Supplemental Knowledge:

Simplifying fractions is a foundational concept in mathematics that involves breaking a fraction down to its most elementary form for easier comprehension and usage. To simplify fractions, divide both its numerator (the top number) and denominator (bottom number) by their greatest common divisors (GCDs).

For example, consider the fraction \(\frac { 8} { 4} \): 
1. Identify the GCD of 8 and 4, which is 4. 
2. Divide both the numerator and the denominator by 4: 
- Numerator: 8 ÷ 4 = 2 
- Denominator: 4 ÷ 4 = 1 
3. The simplified form of \(\frac { 8} { 4} \) is therefore 2.

Applied Knowledge:

Simplifying fractions can be very useful in everyday life. For instance, when cooking, you might need to adjust a recipe based on the number of servings. If a recipe calls for \(\frac { 6} { 3} \) cups of flour but you only want to make half as much, simplifying this fraction helps you quickly see that you need just \(\frac { 6} { 3} = 2\) cups.

Another example could be in financial budgeting. If you're splitting a bill among friends and each person's share comes out to \(\frac { 12} { 6} \), simplifying this fraction helps everyone see that each person needs to pay exactly \(\frac { 12} { 6} = 2\) dollars.

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