What is 4/6 in simplest form?
Understand the Problem
The question is asking for the simplest form of the fraction represented by the numbers 4 and 6. To solve it, we will reduce the fraction by finding the greatest common divisor (GCD) of 4 and 6, and then dividing both the numerator and the denominator by that number.
Answer
The simplest form of the fraction \( \frac{4}{6} \) is \( \frac{2}{3} \).
Answer for screen readers
The simplest form of the fraction ( \frac{4}{6} ) is ( \frac{2}{3} ).
Steps to Solve
- Find the GCD of 4 and 6
To simplify the fraction ( \frac{4}{6} ), we need to find the greatest common divisor (GCD) of the numerator (4) and the denominator (6). The GCD is the largest number that divides both numbers without leaving a remainder.
The factors of 4 are: 1, 2, 4
The factors of 6 are: 1, 2, 3, 6
The common factors are: 1, 2
So, the GCD is 2.
- Divide both the numerator and denominator by the GCD
Next, we divide both the numerator and denominator of the fraction ( \frac{4}{6} ) by the GCD which is 2.
$$ \frac{4 \div 2}{6 \div 2} = \frac{2}{3} $$
- Final Simplification
The fraction ( \frac{4}{6} ) simplifies to ( \frac{2}{3} ).
The simplest form of the fraction ( \frac{4}{6} ) is ( \frac{2}{3} ).
More Information
The fraction ( \frac{2}{3} ) is in its simplest form because there are no common factors between 2 and 3 other than 1. Fractions are often simplified to make them easier to work with and interpret.
Tips
Common mistakes include:
- Failing to find the GCD correctly, which can lead to an incorrect simplified fraction.
- Dividing only one part of the fraction, rather than both the numerator and the denominator.
