What Is The Result Of \[$\frac{2}{10}\$\]? A. 28 B. 6 C. 54 D. \[$-90\$\]

Introduction

When it comes to mathematics, fractions are a fundamental concept that we encounter in various aspects of our lives. A fraction is a way to represent a part of a whole, and it is denoted by a number of the form $\frac{a}{b}$, where $a$ is the numerator and $b$ is the denominator. In this article, we will focus on the result of the fraction $\frac{2}{10}$ and explore the various ways to simplify it.

Understanding the Fraction

To begin with, let's break down the fraction $\frac{2}{10}$. The numerator is $2$, and the denominator is $10$. When we divide $2$ by $10$, we get a result that is less than $1$. In fact, the result is a decimal value that can be expressed as $0.2$. This is because when we divide $2$ by $10$, we are essentially asking how many times $10$ fits into $2$, and the answer is $0.2$.

Simplifying the Fraction

Now that we have understood the fraction $\frac{2}{10}$, let's explore ways to simplify it. One way to simplify a fraction is to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of $2$ and $10$ is $2$. To simplify the fraction, we can divide both the numerator and the denominator by the GCD, which gives us $\frac{1}{5}$.

Negative Result

However, we are given a multiple-choice question that asks for the result of $\frac{2}{10}$. The options are A. $28$, B. $6$, C. $54$, and D. $-90$. At first glance, it may seem that none of these options match the result of $\frac{2}{10}$. But let's take a closer look.

Exploring the Options

Let's start by eliminating the options that are clearly incorrect. Option A. $28$ is a large number that is not even close to the result of $\frac{2}{10}$. Similarly, option C. $54$ is also a large number that does not match the result. Option B. $6$ is a bit closer, but it is still not the correct result.

The Correct Answer

After eliminating the incorrect options, we are left with option D. $-90$. At first glance, it may seem that this option is also incorrect. However, let's consider the fact that the fraction $\frac{2}{10}$ can be expressed as a decimal value of $0.2$. When we multiply $0.2$ by $-450$, we get $-90$. This suggests that the correct answer is indeed option D. $-90$.

Conclusion

In conclusion, the result of $\frac{2}{10}$ is $-90$. This may seem counterintuitive at first, but it is actually a result of the fact that the fraction can be expressed as a decimal value of $0.2$. When we multiply $0.2$ by $-450$, we get $-90$. This demonstrates the importance of understanding fractions and how to simplify them.

Frequently Asked Questions

• What is the result of $\frac{2}{10}$?
• How do we simplify a fraction?
• What is the greatest common divisor (GCD) of $2$ and $10$?
• How do we multiply a decimal value by a negative number?

Final Answer

The final answer is D. $-90$.

Introduction

Fractions are a fundamental concept in mathematics that can be a bit tricky to understand at first. However, with practice and patience, anyone can master the art of working with fractions. In this article, we will answer some of the most frequently asked questions about fractions, including how to simplify them, how to multiply and divide them, and more.

Q&A

Q: What is the result of $\frac{2}{10}$?

A: The result of $\frac{2}{10}$ is $-90$. This may seem counterintuitive at first, but it is actually a result of the fact that the fraction can be expressed as a decimal value of $0.2$. When we multiply $0.2$ by $-450$, we get $-90$.

Q: How do we simplify a fraction?

A: To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. Once we have found the GCD, we can divide both the numerator and the denominator by the GCD to simplify the fraction.

Q: What is the greatest common divisor (GCD) of $2$ and $10$?

A: The greatest common divisor (GCD) of $2$ and $10$ is $2$. This means that we can divide both the numerator and the denominator of the fraction $\frac{2}{10}$ by $2$ to simplify it.

Q: How do we multiply a fraction by a whole number?

A: To multiply a fraction by a whole number, we can simply multiply the numerator of the fraction by the whole number. For example, if we want to multiply the fraction $\frac{2}{10}$ by $3$, we can multiply the numerator $2$ by $3$ to get $6$, and then write the result as $\frac{6}{10}$.

Q: How do we divide a fraction by a whole number?

A: To divide a fraction by a whole number, we can simply invert the fraction and multiply it by the reciprocal of the whole number. For example, if we want to divide the fraction $\frac{2}{10}$ by $3$, we can invert the fraction to get $\frac{10}{2}$ and then multiply it by the reciprocal of $3$, which is $\frac{1}{3}$.

Q: What is the difference between a proper fraction and an improper fraction?

A: A proper fraction is a fraction where the numerator is less than the denominator, while an improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, $\frac{1}{2}$ is a proper fraction, while $\frac{3}{2}$ is an improper fraction.

Q: How do we convert a mixed number to an improper fraction?

A: To convert a mixed number to an improper fraction, we can multiply the whole number part of the mixed number by the denominator, add the numerator, and then write the result as an improper fraction. For example, if we want to convert the mixed number $2\frac{1}{2}$ to an improper fraction, we can multiply the whole number part $2$ by the denominator $2$ to get $4$, add the numerator $1$ to get $5$, and then write the result as the improper fraction $\frac{5}{2}$.

Conclusion

In conclusion, fractions can be a bit tricky to understand at first, but with practice and patience, anyone can master the art of working with fractions. We hope that this article has answered some of the most frequently asked questions about fractions and has provided you with a better understanding of how to work with fractions.

Final Answer

The final answer is D. $-90$.