Original
4/6
A direct fraction answer
What Is Equivalent to 4/6?
The simplest fraction equivalent to 4/6 is 2/3. You can also write the same amount as 6/9 or 8/12 because the numerator and denominator change together.
Quick answer
4/6
same value
2/3
4/6 = 2/3
Both bars shade two-thirds of the same-sized whole.
The short explanation
What is equivalent to 4/6?
Divide the numerator and denominator by the same common factor. Since both 4 and 6 can be divided by 2, 4/6 becomes 2/3 without changing the amount represented by the fraction.
Same change
÷ 2/2
Simplest form
2/3
Three simple steps
Simplify 4/6 step by step
Simplifying does not remove part of the amount. It groups equal pieces into larger equal pieces and gives the same value a shorter name.
Step 1
Find a common factor
Both 4 and 6 can be divided by 2.
Step 2
Divide both numbers
4/6 ÷ 2/2
Step 3
Write the result
4/6 ÷ 2/2 = 2/3
Same amount, more names
More equivalent fractions for 4/6
Start with the simplest form, 2/3. Multiplying both numbers by 3 or 4 makes more names for the same amount.
4/6 = 2/3 = 6/9 = 8/12
2/3
4/6
6/9
8/12
Each bar reaches the same two-thirds endpoint. The pieces get smaller, but the shaded amount stays fixed.
Check the answer
How to check 4/6 = 2/3
Cross-multiply the two fractions. If the diagonal products match, the fractions have the same value.
4 × 3 = 12
6 × 2 = 12
The products match, which confirms that 4/6 and 2/3 are equivalent.
Common questions
Equivalent to 4/6 FAQ
The simplest equivalent fraction is 2/3. Other equivalent fractions include 6/9 and 8/12 because the numerator and denominator change by the same factor.