Are 4/6 and 8/12 equal?

The concept of equivalent fractions is used to solve this problem.

Answer: Yes, 4/6 and 8/12 are equal.

Let's explore more about equivalent fractions.

Explanation:

Equivalent fractions can be defined as fractions that may have different numerators and denominators but they represent the same value.

To find the equivalent fractions for any given fraction, divide the numerator and the denominator by the same number.

Here,

• 4/6 = (2 × 2)/(2 × 3) = 2/3 as 2 is common factor for both 4 and 6
• 8/12 = (4 × 2)/(4 × 3) = 2/3  as 4 is the common factor for both 8 and 12

Therefore, 4/6 = 8/12 = 2/3

Thus, 4/6 and 8/12 are equal.