what expression has a value of 2/3
The correct answer and explanation is:
An example of an expression that equals 2/3 is: 46\frac{4}{6}
Explanation:
The fraction 4/6 can be simplified by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4 and 6 is 2. By dividing both the numerator (4) and the denominator (6) by 2, you get: 4÷26÷2=23\frac{4 \div 2}{6 \div 2} = \frac{2}{3}
This shows that 4/6 simplifies to 2/3, which is the desired value.
Fractions are a way to express parts of a whole. In the case of 2/3, it means that the whole is divided into three equal parts, and you are considering two of those parts. Simplifying fractions helps in understanding their equivalent forms. For instance, 4/6 is an equivalent fraction to 2/3, meaning both represent the same portion of a whole, even though they look different. Reducing fractions to their simplest form makes mathematical operations, such as addition or subtraction, easier to perform.
Another way to represent 2/3 is using decimal form. To convert 2/3 to a decimal, divide 2 by 3. The result is approximately 0.6667, which is a repeating decimal. However, in fraction form, 2/3 is exact, making it more useful in certain mathematical contexts, such as algebra or when working with ratios. Fractions like 2/3 are frequently used in real-life scenarios, such as in recipes, measurements, or when dividing things into parts.
In conclusion, 4/6 simplifies to 2/3, demonstrating the process of fraction simplification.