The answer to the question “What is half of 2/3?” is 1/3.

## What is a Fraction?

A fraction is a part of a whole. It is typically represented using two numbers separated by a slash, such as 2/3. The top number, or numerator, represents the number of parts that make up the fraction. The bottom number, or denominator, represents the number of parts the whole is divided into.

## Understanding Fractions

In order to understand fractions, it is important to understand their parts. The numerator is the top number of the fraction and represents the number of parts being considered. The denominator is the bottom number and represents the number of parts the whole is divided into.

For example, a fraction of 2/3 indicates that two parts out of the three that make up the whole are being considered. To find half of a fraction, the numerator is halved.

## Halving a Fraction

In order to find half of a fraction, the numerator must be halved. The denominator remains the same. For example, half of 2/3 is 1/3. The numerator is halved to one and the denominator remains the same at three.

## Examples of Halving Fractions

- Half of 4/5 is 2/5
- Half of 5/7 is 2.5/7
- Half of 1/2 is 1/4
- Half of 3/4 is 1.5/4

## Simplifying Fractions

After halving a fraction, it is important to simplify the fraction if possible. Simplifying a fraction means reducing the two numbers so they have no common factors.

For example, 3/6 can be simplified to 1/2 by dividing both the numerator and denominator by three. In order to simplify a fraction, both numbers must be divided by the same number.

## Conclusion

In conclusion, the answer to the question “What is half of 2/3?” is 1/3. Halving a fraction means reducing the numerator by half while keeping the denominator the same. It is important to simplify the fraction if possible by dividing both the numerator and denominator by the same number.