6/8 Simplified, Simplify 6/8 in Simplest Form

3/4 is the simplified reduced form of the fraction 6/8. In this post, we will learn how to simplify 6/8 in simplest form and as a result, we will get 6/8 simplified to lowest terms.

What is 6/8 in Simplest Form

Answer: 6/8 in simplest form is equal to 3/4.

Solution:

[Method 1: Division Method]

To simplify the fraction 6/8, let us use the division method. In this method, we will divide both 6 and 8 by their common divisors. As both 6 and 8 are divisible by 2, dividing them by 2 we get that

$\dfrac{6}{8}$ = $\dfrac{6 \div 2}{8 \div 2}$ = $\dfrac{3}{4}$.

Note that both 3 and 4 are divisible by 1 only, so we cannot simplify 3/4.

Therefore, 3/4 is the simplified form of 6/8 to lowest terms.

[Method 2: Prime Factorization Method]

To simplify the fraction 6/8 by the prime factorization method, we need to write the prime factorizations of 6 and 8. We have:

6 = 2 × 3

8 = 2 × 2 × 2

So

$\dfrac{6}{8}$ = $\dfrac{2 \times 3}{2 \times 2 \times 2}$

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

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

= 3/4

So 3/4 is the simplest reduced form of 6/8.

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