4/6 Simplified, Simplify 4/6 in its Simplest Form

2/3 is the simplified reduced form of the fraction 4/6. In this post, we will learn to simplify 4/6 in its simplest form and as a result, we will get 4/6 simplified to lowest terms.

What is 4/6 in Simplest Form

Answer: The fraction 4/6 in simplest form is equal to 2/3.

Solution:

[Method 1: Division Method]

To simplify the fraction 4/6, we will divide both 4 and 6 by their common divisors. As 4 and 6 are even numbers, they will be divisible by 2. Thus, dividing them by 2, we get that

$\dfrac{4}{6}$ = $\dfrac{4 \div 2}{6 \div 2}$ = $\dfrac{2}{3}$.

Observe that there are no common divisors of 2 and 3 other than 1, so we cannot simplify it.

Therefore, 2/3 is the simplified form of 4/6 to lowest terms.

[Method 2: Prime Factorization Method]

To simplify the fraction 4/6 by the prime factorization method, we need to write the prime factorizations of 4 and 6.

Note that 4 = 2 × 2

6 = 2 × 3

So

$\dfrac{4}{6}$ = $\dfrac{2 \times 2}{2 \times 3}$

= $\dfrac{\cancel{2} \times 2}{\cancel{2} \times 3}$, cancelling the common terms.

= $\dfrac{2}{3}$

So 2/3 is the simplest reduced form of 4/6.

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