Short Answer
To identify and simplify the fraction 2/6, first find the highest common factor (HCF), which is 2. Dividing both the numerator and denominator by the HCF simplifies the fraction to 1/3, indicating that 2/6 is equivalent to 1/3.
Identify the Fraction
Start with the given fraction which in this case is 2/6. A fraction is a way to represent a part of a whole, and here 2 is the numerator (part) and 6 is the denominator (whole). Understanding this helps in identifying equivalent fractions.
Find the Highest Common Factor (HCF)
To find equivalent fractions, calculate the highest common factor (HCF) of the numerator and denominator. For 2/6, the HCF is:
- Numerator: 2
- Denominator: 6
- HCF: 2
Use this HCF to simplify the fraction by dividing both the numerator and denominator by the HCF.
Simplify to Find Equivalent Fractions
Now simplify the fraction 2/6 by dividing both parts by the HCF. This will give:
- Numerator: 2 ‚àö‚àë 2 = 1
- Denominator: 6 ‚àö‚àë 2 = 3
Thus, 2/6 simplifies to 1/3, which is an equivalent fraction. You can also check other fractions like 3/9, which simplifies to 1/3 as well, confirming that they are equivalent.