simplify 3/12

Understand the Problem

The question is asking us to simplify the fraction 3/12. To do this, we will find the greatest common divisor of the numerator (3) and the denominator (12) and divide both by that number.

Answer

\( \frac{1}{4} \)
Answer for screen readers

The final answer is ( \frac{1}{4} )

Steps to Solve

  1. Find the greatest common divisor (GCD) of 3 and 12

The greatest common divisor is the largest number that divides both numbers without leaving a remainder. Here, the GCD of 3 and 12 is 3.

  1. Divide the numerator and denominator by the GCD

Divide both the numerator (3) and the denominator (12) by the GCD (3). $$ \frac{3 \div 3}{12 \div 3} = \frac{1}{4} $$

  1. Write the simplified fraction

The fraction is now simplified to $$ \frac{1}{4} $$

The final answer is ( \frac{1}{4} )

More Information

Simplifying fractions helps in understanding and comparing them more easily. The fraction ( \frac{1}{4} ) means one part of a whole that is divided into four equal parts.

Tips

A common mistake when simplifying fractions is not finding the GCD correctly. Make sure to find the largest number that divides both the numerator and denominator.

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