What fraction is equivalent to 2/6?…

Mathematics Questions

Which fraction is equivalent to 2/6

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.

Step-by-Step Solution

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.

Related Concepts

Fraction

A mathematical expression representing the division of one quantity by another, consisting of a numerator and a denominator.

Highest Common Factor (Hcf)

The largest positive integer that divides two or more integers without leaving a remainder, used to simplify fractions.

Equivalent Fractions

Fractions that represent the same value or proportion, even though they have different numerators and denominators.

Scroll to Top