8/10 Simplified, Simplify 8/10 in its Simplest Form

The value of 8/10 simplified as a fraction is equal to 4/5. Here we will write 8/10 (8 divided by 10) in its simplest form, that is, we will reduce the fraction 8/10 to its lowest terms. The simplification of 8/10 is given as follows:

• Simplify 8/10 in its simplest form is equal to 4/5.
• Reduce 8/10 to its lowest terms is equal to 4/5.

Let us now simplify the fraction 8/10.

Simplify 8/10 to its Simplest Form

To simplify 8/10 in simplest form, we will divide both the numerator 8 and the denominator 10 by their greatest common divisor (GCD). We have:

The divisors of 8 are 1, 2, 4, and 8.

The divisors of 10 are 1, 2, 5, and 10.

Thus, we see that 2 is the highest number that divides both 8 and 10. So the greatest common divisor of 8 and 10 is 2. That is,

GCD (8, 10) = 2.

Now divide the top and the bottom by GCD (8, 10) = 2 in order to simplify the fraction 8/10. This will give us that

$\dfrac{8}{10} = \dfrac{8 \div 2}{10 \div 2} = \dfrac{4}{5}$.

So the fraction 8/10 simplified in its simplest form is equal to 4/5.

How to Simplify the Fraction 8/10

The video solution on how to simplify 8/10 is provided below:

Reduce 8/10 to its Lowest Term

To reduce 8/10 in its lowest terms, we will use the prime factorisation method. The prime factorisations of 8 and 10 are given by

8 = 2 × 2 × 2

10 = 2 × 5

Therefore,

$\dfrac{8}{10} = \dfrac{2 \times 2 \times 2}{2 \times 5}$

⇒ $\dfrac{8}{10} = \dfrac{\cancel{2} \times 2 \times 2}{\cancel{2} \times 5}$, here we cancel the common number 2.

⇒ $\dfrac{8}{10} = \dfrac{2 \times 2}{5} = \dfrac{4}{5}$

So the fraction 8/10 simplified to its lowest term is equal to 4/5.

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