Multiplying fractions can sometimes be a perplexing concept, especially when negative numbers are involved. In this blog post, we will delve into the mathematics behind the multiplication of a negative fraction, specifically -1/3, by a whole number, 21. We will break down the steps, provide explanations, and explore the properties of this operation.

## What is -1/3 X 21 ?

*The product of -1/3 multiplied by 21 is equal to -7. When you multiply a negative fraction by a positive whole number, the result is a negative value. In this case, it’s -7.*

## Understanding Negative Fractions

Before we proceed, let’s clarify the components of the expression -1/3 x 21:

- -1/3: This is a negative fraction. The negative sign indicates that the number is less than zero, while the fraction 1/3 represents one part of a whole divided into three equal parts. Therefore, -1/3 is a negative quantity less than one-third.
- 21: This is a whole number, a positive integer without any fractional or decimal parts.

Now, let’s explore how to multiply these two values together.

Multiplying a Negative Fraction by a Whole Number

To multiply -1/3 by 21, follow these steps:

### Step 1: Understand the Rule

- When you multiply a negative number by a positive number, the result is negative.

### Step 2: Multiply the Absolute Values

- Disregard the negative sign initially.
- Multiply the absolute values of the numbers: |1/3| x 21 = 7.

### Step 3: Apply the Negative Sign

- As per the rule mentioned in Step 1, since we are multiplying a negative fraction by a positive whole number, the result will be negative.
- Therefore, the result is -7.

## FAQs

1. What is the solution to 1/3 of 21?

- The solution to 1/3 of 21 is 7. You can find it by dividing 21 by 3, which equals 7.

**2. What do you multiply by 3 to get 21?**

- To get 21 by multiplying, you would use the factor 7 (3 x 7 = 21).

**3. What is 21 1/3 as a decimal?**

- 21 1/3 as a decimal is approximately 21.333.

**4. What is 1/3 of 27?**

- 1/3 of 27 is 9. You can find it by dividing 27 by 3, which equals 9.

**5. How many one-thirds are there in 21?**

- There are 7 one-thirds in 21. You can find it by dividing 21 by 3, which equals 7.

**6. How can I calculate 1/3 of a number?**

- To calculate 1/3 of a number, you simply divide the number by 3.

**7. What can I multiply to get 21?**

- You can multiply 21 by 1 to get 21, or by 3 to get 63, or by 7 to get 147, among other factors.

**8. How do you divide 21 by 3?**

- You divide 21 by 3 by performing the division operation, which results in 7.

**9. How do you multiply by 21?**

- To multiply by 21, you take the number you want to multiply and multiply it by 21.

**10. What is 21/3 in percentage?** – 21/3 is equivalent to 700%. To convert a fraction to a percentage, you multiply it by 100.

**11. What is 21 percent as a fraction?** – 21 percent as a fraction is 21/100. To express a percentage as a fraction, you write it over 100.

**12. What is 1/3 as a decimal fraction?** – 1/3 as a decimal fraction is approximately 0.333.

**13. What is one-third of 15?** – One-third of 15 is 5. You can find it by dividing 15 by 3.

**14. What is one-third of 12?** – One-third of 12 is 4. You can find it by dividing 12 by 3.

**15. What is 1/3 out of 100 percent?** – 1/3 out of 100 percent is approximately 33.33%. This is the equivalent percentage of one-third.

## Conclusion

In this blog post, we’ve explored the concept of multiplying a negative fraction, -1/3, by a whole number, 21. By following the steps outlined above, we determined that the result of -1/3 x 21 is -7.

Understanding how to perform operations with negative fractions is crucial in various mathematical and real-world applications. It’s important to remember the rules for multiplying negative and positive numbers to arrive at the correct result. Additionally, grasping the fundamentals of fractions and their interaction with integers contributes to a strong foundation in mathematics.

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