4/6 simplified as a fraction is equal to 2/3. Here we simplify 4/6 in its simplest form, that is, reduce 4/6 to its lowest terms, and it is equal to 2/3.

There are two ways to simplify 4/6.

**First method:**Write the prime factorisations of the numerator 4 and the denominator 6. Then cancel the common numbers appeared in the prime factorisations of 4 and 6 to reduce 4/6 to its lowest terms.**Second method:**Divide both the numerator and the denominator of 4/6 by the greatest common divisor of 4 and 6. The resultant fraction will be the simplified form of 4/6.

Let us now simplify the fraction 4/6 in its simplified form which is 2/3.

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## Simplify 4/6 to its Simplest Form

To simplify 4/6 in its simplest form, we write down the prime factorisations of both the numbers 4 and 6.

4 = 2 × 2

6 = 2 × 3.

Therefore,

$\dfrac{4}{6} = \dfrac{2 \times 2}{2 \times 3}$

⇒ $\dfrac{4}{6} = \dfrac{\cancel{2} \times 2}{\cancel{2} \times 3}$, here we cancel the common number 2.

⇒ $\dfrac{4}{6} = \dfrac{2}{3}$

So 4/6 simplified in its simplest form is equal to 2/3.

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

## How to Simplify the Fraction 4/6

Let us follow below steps in order to simplify 4/6 in its simplest form.

**Step 1:**

At first, divide both the numerator 4 and the denominator 6 by their greatest common divisor (GCD).

**Step 2:**

Let us now find the GCD of 4 and 6.

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

See that 2 is the highest number that divides both 4 and 6. Therefore, the greatest common divisor of 4 and 6 is 2. That is,

GCD (4, 6) = 2.

**Step 3:**

Divide the top and the bottom of 4/6 by GCD (4, 6) = 2 in order to simplify the fraction 4/6. So we get that

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

So 4/6 reduced to lowest terms is equal to 2/3.

Video solution on simplifying 4/6:

**More Simplifying Fractions:**

## FAQs

**Q1: Reduce 4/6 to lowest terms.**

**Answer:** The fraction 4/6 when reduced to lowest terms is equal to 2/3.

**Q2: How simplify 4/6 in its simplest form?**

**Answer:** To simplify 4/6, divide the top 4 and the bottom 6 by their greatest common divisor (GCD). Note that GCD(4, 6) = 2. Now 4/6 = (4 ÷ 2)/(6 ÷ 2) = 2/3. So 2/3 is the simplest reduced form of the fraction 4/6.

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.