Mathematics, a discipline that has existed for millennia, has played a pivotal role throughout history in explaining the world around us. However, it can also be a source of confusion when we encounter unfamiliar operations.

In today’s article, we’ll embark on a journey to compare two fractions and determine which one is bigger. **Is 1/2 bigger than 2/3?**

Fractions, one of the most fundamental mathematical concepts, serve as tools to represent parts of a whole. To effectively compare them, it’s helpful to visualize them as slices of a pizza or a pie.

**Imagine a pizza divided into equal portions.**

- If we have
**1/2 of the pizza**, it means we have one of the two slices. - If we have
**2/3 of the pizza**, it means we have two out of the three slices into which the pizza has been divided.

At first glance, **2/3 of the pizza appears larger than 1/2**.

While we’ll delve into more details later, to answer your question upfront:

### Is 1/2 bigger than 2/3?

No, 1/2 is smaller than 2/3. 1/2 represents 0.5, while 2/3 represents 0.66.

**To confirm this mathematically, we can employ two methods:**

## Method 1: Converting Fractions to a Common Denominator to determine if 1/2 is bigger than 2/3

The least common multiple (LCM) of 2 and 3 is 6.

We convert 1/2 to 3/6 by multiplying both the numerator and denominator by 3:

- 1/2 = 3/6

And we convert 2/3 to 4/6 by multiplying both numerator and denominator by 2:

- 2/3 = 4/6

Now, we can easily compare both fractions since they have a common denominator:

- 3/6 represents
**three slices**of a pie divided into six parts. - 4/6 represents
**four slices**of the same pie divided into six parts.

Clearly, 4/6 is larger than 3/6, and consequently, **1/2 is smaller than 2/3**.

## 2. Method 2: Representing Fractions on a Number Line

To represent fractions on a number line, follow these steps:

- Locate the 0 (zero) at one end of the line and mark equal intervals based on the denominator.
- Divide the first line into two equal parts since the denominator is 2.
- Divide the second line into three parts since the denominator is 3.
- On the first line:
- Mark 1/2 at the first point to the right of 0.

- On the second line:
- Mark 1/3 at the first point to the right of 0.
- Mark 2/3 at the second point to the right of 0.

Observing the lines, we can clearly see that 2/3 lies further to the right than 1/2, confirming that 1/2 is not larger than 2/3.

## Conclusion: Unveiling the Winner. Is 1/2 bigger than 2/3?

Both the pizza slice visualization and the conversion to a common denominator or representation on a number line help us grasp and compare the value of fractions, revealing that **2/3 is indeed larger than 1/2**. Therefore, 1/2 is not bigger than 3/4.