What fraction is equivalent to \(\frac { 4} { 12} \)?

Step 1: 
Identify the Greatest Common Divisor (GCD) of 4 and 12: 

The GCD is 4. 
 

Step 2:

Divide both the numerator and the denominator by the GCD: 
\[\frac { 4 \div 4} { 12 \div 4} = \frac { 1} { 3} \]

Step 3: 
Result: 

The fraction equivalent to \(\frac { 4} { 12} \) is \(\frac { 1} { 3} \).

Supplemental Knowledge:

Simplifying fractions involves reducing them to their simplest form, where the numerator and denominator have no common factors other than 1. This process makes fractions easier to understand and compare.

Steps to Simplify a Fraction:

1. Find the Greatest Common Divisor (GCD): 
The GCD of two numbers is the largest number that divides both without leaving a remainder.

2. Divide Both Numerator and Denominator by the GCD: 
This reduces the fraction to its simplest form.

Everyday Examples:

Simplifying fractions can be very useful in everyday life. Imagine you're splitting a pizza with friends. If each person eats \(\frac { 8} { 16} \) of a pizza slice portioned into smaller pieces for easy sharing. Simplifying this fraction helps everyone quickly see that each person gets half a slice (\(\frac { 1} { 2} \)).

Understanding how to simplify fractions enhances your mathematical skills and makes everyday calculations more manageable. At UpStudy, we offer tools and resources designed to help you master arithmetic concepts effortlessly.

For those looking for more practice with simplifying fractions or seeking assistance with other mathematical problems, try UpStudy’s Fractions Calculator today! Enhance your math skills with UpStudy!