6/10 simplified as a fraction is equal to 3/5. Here we learn to write 6/10 (6 divided by 10) in its simplest form, that is, we will reduce the fraction 6/10 to its lowest terms.

Fraction | Simplified Form |

6/10 | Simplify 6/10 in its simplest form is equal to 3/5. |

6/10 | Reduce 6/10 to its lowest terms is equal to 3/5. |

Let us now **simplify the fraction 6/10 in its simplified form which is 3/5**. There are two ways to simplify any fraction.

- Divide both the numerator and the denominator of the given fraction by the greatest common divisor of the top and the bottom. The resultant fraction will be the simplified form of the given fraction.
- Write the prime factorisations of the numerator and the denominator of the given fraction. Then cancel the common numbers appeared in the top and the bottom to reduce the fraction to its lowest terms.

Table of Contents

## Simplify 6/10 to its Simplest Form

Let us follow below steps to simplify the fraction 6/10.

**Step 1:**

To simplify 6/10 in its simplest form, we will divide both the numerator 6 and the denominator 10 by their greatest common divisor (GCD).

**Step 2:**

Now, we will find the GCD of 6 and 10.

- The divisors of 6 are 1, 2, 3, and 6.
- The divisors of 10 are 1, 2, 5, and 10.

Therefore, 2 is the highest number that divides both 6 and 10. So the greatest common divisor of 6 and 10 is 2. That is,

GCD (6, 10) = 2.

**Step 3:**

Divide the top and the bottom of 6/10 by GCD (6, 10) = 2.

$\dfrac{6}{10} = \dfrac{6 \div 2}{10 \div 2} = \dfrac{3}{5}$.

So the fraction 6/10 simplified in its simplest form is equal to 3/5.

## How to Simplify the Fraction 6/10

The video solution on how to simplify 6/10 is provided below:

## Reduce 6/10 to its Lowest Term

To reduce 6/10 in its lowest terms, first we write down the prime factorisations of 6 and 10.

6 = 2 × 3

10 = 2 × 5

Therefore,

$\dfrac{6}{10} = \dfrac{2 \times 3}{2 \times 5}$

⇒ $\dfrac{6}{10} = \dfrac{\cancel{2} \times 3}{\cancel{2} \times 5}$, here we cancel the common number 2.

⇒ $\dfrac{6}{10} = \dfrac{3}{5}$

So the fraction 6/10 simplified to its lowest term is equal to 3/5.

## FAQs

**Q1: What is 6/10 simplified?**

**Answer:** 6/10 simplified as a fraction is equal to 3/5.

**Q2: How simplify 6/10 in its simplest form?**

**Answer:** The greatest common divisor (GCD) of 6 and 10 is GCD(6, 10) = 2. To simplify 6/10, divide the top 6 and the bottom 10 by their GCD. Thus, 6/10 = (6 ÷ 2)/(10 ÷ 2) = 3/5. So 3/5 is the simplest reduced form of the fraction 6/10.

This article is written by Dr. T. Mandal, Ph.D in Mathematics. On Mathstoon.com you will find Maths from very basic level to advanced level. Thanks for visiting.