The fraction 9/12 simplified is equal to 3/4. Here we learn to write 9/12 (9 divided by 12) in its simplest form, that is, we will reduce the fraction 9/12 to its lowest terms. Note that

Fraction | Simplified Form |

9/12 | Simplify 9/12 in its simplest form is equal to 3/4. |

9/12 | Reduce 9/12 to its lowest terms is equal to 3/4. |

Let us now **simplify the fraction 9/12 in its simplified form which is 3/4**. 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 9/12 to its Simplest Form

In order to simplify the fraction 9/12, we will follow below steps.

**Step 1:**

To simplify 9/12 in its simplest form, let us divide both the numerator 9 and the denominator 12 by their greatest common divisor (GCD).

**Step 2:**

Now, we will find the GCD of 9 and 12.

- The divisors of 9 are 1, 3, and 9.
- The divisors of 12 are 1, 2, 3, 4, 6, and 12.

Therefore, 3 is the highest number that divides both 9 and 12. So the greatest common divisor of 9 and 12 is 3. That is,

GCD (9, 12) = 3.

**Step 3:**

Divide the top and the bottom by GCD (9, 12) = 3.

$\dfrac{9}{12} = \dfrac{9 \div 3}{12 \div 3} = \dfrac{3}{4}$.

So the fraction 9/12 simplified in its simplest form is equal to 3/4.

## How to Simplify the Fraction 9/12

The video solution on how to simplify 9/12 is provided below:

## Reduce 9/12 to its Lowest Term

To reduce 9/12 in its lowest terms, at first we write down the prime factorisations of 9 and 12.

9 = 3 × 3

12 = 2 × 2 × 3

Therefore,

$\dfrac{9}{12} = \dfrac{3 \times 3}{2 \times 2 \times 3}$

⇒ $\dfrac{9}{12} = \dfrac{3 \times \cancel{3}}{2 \times 2 \times \cancel{3}}$, here we cancel the common number 3.

⇒ $\dfrac{9}{12} = \dfrac{3}{2 \times 2} = \dfrac{3}{4}$

So the fraction 9/12 reduced in its lowest term is equal to 3/4.

## FAQs

**Q1: What is 9/12 simplified?**

**Answer:** 9/12 simplified as a fraction is equal to 3/4.

**Q2: How simplify 9/12 in its simplest form?**

**Answer:** The greatest common divisor (GCD) of 9 and 12 is GCD(9, 12) = 3. To simplify 9/12, divide the top 9 and the bottom 12 by their GCD. Thus, 9/12 = (9 ÷ 3)/(12 ÷ 3) = 3/4. So 3/4 is the simplest reduced form of the fraction 9/12.

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.