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

6/8 simplified as a fraction is equal to 3/4. Here we simplify 6/8 in its simplest form, that is, reduce 6/8 to its lowest terms, and it is equal to 3/4.

There are two ways to simplify 6/8.

1. First method: Divide both the numerator and the denominator of 6/8 by the greatest common divisor of 6 and 8. The resultant fraction will be the simplified form of 6/8.
2. Second method: Write the prime factorisations of the numerator 6 and the denominator 8. Then cancel the common numbers appeared in the prime factorisations of 6 and 8 to reduce 6/8 to its lowest terms.

Let us now simplify the fraction 6/8 in its simplified form which is 3/4.

Simplify 6/8 to its Simplest Form

We will follow below steps to simplify 6/8 to its simplest form.

Step 1:

To simplify 6/8 in its simplest form, let us divide both the numerator 6 and the denominator 8 by their greatest common divisor (GCD).

Step 2:

Let us now find the GCD of 6 and 8.

• The divisors of 6 are 1, 2, 3, and 6.
• The divisors of 8 are 1, 2, 4, and 8.

Therefore, 2 is the highest number that divides both 6 and 8. So the greatest common divisor of 6 and 8 is 2. That is,

GCD (6, 8) = 2.

Step 3:

Divide the top and the bottom by GCD (6, 8) = 2 to simplify 6/8. So we get that

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

So the fraction 6/8 simplified in its simplest form is equal to 3/4.

Read Also: Fractions: Definition, Examples, Types, How to Simplify

How to Simplify the Fraction 6/8

Video solution on simplifying 6/8:

Reduce 6/8 to its Lowest Term

To reduce 6/8 in its lowest terms, let us write down the prime factorisations of both the numbers 6 and 8.

6 = 2 × 3

8 = 2 × 2 × 2

Therefore,

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

⇒ $\dfrac{6}{8} = \dfrac{\cancel{2} \times 3}{\cancel{2} \times 2 \times 2}$, here we cancel the common number 2.

⇒ $\dfrac{6}{8} = \dfrac{3}{4}$

So the fraction 6/8 reduced to its lowest terms is equal to 3/4.

FAQs