What is 6×2/3?

Fractions are a fundamental concept in mathematics, and they play a crucial role in various real-life situations. In this blog post, we will explore the world of fractions and delve into the multiplication of fractions, specifically the calculation of 6 multiplied by 2/3. By the end of this journey, you’ll have a comprehensive understanding of how to multiply fractions and why this skill is important in everyday life.

What is 6×2/3?

6 multiplied by 2/3 equals 4. To calculate it, multiply the whole number 6 by the numerator of the fraction (2) and divide the result by the denominator (3). This simplifies to 6 * 2 = 12, and 12 divided by 3 equals 4. So, 6 multiplied by 2/3 is equal to 4.

The Importance of Fractions:

Fractions are a way of expressing parts of a whole or quantities that are not whole numbers. They are used in various fields, including cooking, construction, finance, and science. Understanding how to manipulate and perform operations with fractions is essential for making accurate measurements, solving problems, and making informed decisions.

Multiplying Fractions:

Multiplying fractions involves multiplying the numerators (top numbers) together to get the new numerator and multiplying the denominators (bottom numbers) together to get the new denominator. To multiply 6 by 2/3, we can follow these steps:

Step 1: Write 6 as a Fraction:

To multiply a whole number (like 6) by a fraction (like 2/3), we first convert the whole number into a fraction by placing it over 1. So, 6 becomes 6/1.

Step 2: Multiply the Numerators:

Multiply the numerators (the top numbers) together:

6/1 * 2/3 = (6 * 2) / (1 * 3) = 12/3

Step 3: Simplify the Fraction:

Simplify the fraction if necessary. In this case, both 12 and 3 are divisible by 3:

12/3 = (12 ÷ 3) / (3 ÷ 3) = 4/1

So, 6 * 2/3 simplifies to 4/1, which is equivalent to the whole number 4.

Practical Applications:

Understanding how to multiply fractions has practical applications in various areas:

1. Cooking: Adjusting recipe quantities based on the number of servings needed.
2. Construction: Calculating measurements for materials like wood or tiles.
3. Finance: Determining interest rates and calculating loan payments.
4. Science: Performing calculations involving ratios and proportions.
5. Medicine: Administering medication dosages accurately.

Conclusion:

Multiplying fractions, as demonstrated in the example of 6 * 2/3, is a valuable mathematical skill that finds applications in everyday life and numerous professional fields. Fractions allow us to work with quantities that are not whole numbers, making it possible to solve problems accurately and make precise measurements. Understanding the principles of fraction multiplication empowers us to navigate various real-world scenarios with confidence and precision.