What Is A Decimal That Is Equivalent To The Fraction 98 100 \frac{98}{100} 100 98 ​ ?Enter The Answer In The Box. □ \square □

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Introduction

In mathematics, fractions and decimals are two ways to represent the same value. A fraction is a way to express a part of a whole, while a decimal is a way to express a value as a sum of powers of 10. In this article, we will explore how to convert a fraction to a decimal and find the decimal equivalent of the fraction 98100\frac{98}{100}.

Understanding Fractions and Decimals

Fractions are written in the form ab\frac{a}{b}, where aa is the numerator and bb is the denominator. The fraction 98100\frac{98}{100} means that we have 98 parts out of a total of 100 parts. To convert this fraction to a decimal, we need to divide the numerator by the denominator.

Converting Fractions to Decimals

To convert a fraction to a decimal, we can use the following steps:

  1. Divide the numerator by the denominator.
  2. Write the result as a decimal.

For example, to convert the fraction 12\frac{1}{2} to a decimal, we can divide 1 by 2, which gives us 0.5.

Converting the Fraction 98100\frac{98}{100} to a Decimal

Now, let's apply the steps to convert the fraction 98100\frac{98}{100} to a decimal.

  1. Divide the numerator (98) by the denominator (100).
  2. Write the result as a decimal.

To divide 98 by 100, we can use long division or a calculator. Using long division, we get:

  0.98
100 | 98
  -80
  180
  -160
   20

Therefore, the decimal equivalent of the fraction 98100\frac{98}{100} is 0.98.

Conclusion

In this article, we have learned how to convert a fraction to a decimal and found the decimal equivalent of the fraction 98100\frac{98}{100}. We have seen that to convert a fraction to a decimal, we need to divide the numerator by the denominator and write the result as a decimal. We have also applied this process to the fraction 98100\frac{98}{100} and found that its decimal equivalent is 0.98.

Frequently Asked Questions

  • What is the decimal equivalent of the fraction 98100\frac{98}{100}?
  • How do I convert a fraction to a decimal?
  • What is the process of converting a fraction to a decimal?

Answer Key

  • The decimal equivalent of the fraction 98100\frac{98}{100} is 0.98.
  • To convert a fraction to a decimal, we need to divide the numerator by the denominator and write the result as a decimal.
  • The process of converting a fraction to a decimal involves dividing the numerator by the denominator and writing the result as a decimal.

Additional Resources

  • For more information on fractions and decimals, please visit the following websites:
  • Math is Fun
  • Khan Academy
  • For more practice problems on converting fractions to decimals, please visit the following websites:
  • Mathway
  • Symbolab

Introduction

In our previous article, we explored how to convert fractions to decimals and found the decimal equivalent of the fraction 98100\frac{98}{100}. In this article, we will answer some frequently asked questions about converting fractions to decimals.

Q&A

Q: What is the decimal equivalent of the fraction 12\frac{1}{2}?

A: The decimal equivalent of the fraction 12\frac{1}{2} is 0.5.

Q: How do I convert a fraction to a decimal?

A: To convert a fraction to a decimal, you need to divide the numerator by the denominator and write the result as a decimal.

Q: What is the process of converting a fraction to a decimal?

A: The process of converting a fraction to a decimal involves dividing the numerator by the denominator and writing the result as a decimal.

Q: Why do I need to convert fractions to decimals?

A: You need to convert fractions to decimals because decimals are often used in real-world applications, such as finance, science, and engineering. Decimals are also easier to work with than fractions in many cases.

Q: Can I convert a decimal to a fraction?

A: Yes, you can convert a decimal to a fraction. To do this, you need to express the decimal as a sum of powers of 10 and then convert it to a fraction.

Q: How do I convert a decimal to a fraction?

A: To convert a decimal to a fraction, you need to express the decimal as a sum of powers of 10 and then convert it to a fraction. For example, to convert the decimal 0.5 to a fraction, you can express it as 5/10 and then simplify it to 1/2.

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way to express a part of a whole, while a decimal is a way to express a value as a sum of powers of 10. Fractions are often used in mathematics and science, while decimals are often used in real-world applications.

Q: Can I use a calculator to convert fractions to decimals?

A: Yes, you can use a calculator to convert fractions to decimals. Most calculators have a fraction-to-decimal conversion function that you can use to convert fractions to decimals.

Q: How do I know if a fraction can be converted to a decimal?

A: Any fraction can be converted to a decimal. To convert a fraction to a decimal, you need to divide the numerator by the denominator and write the result as a decimal.

Conclusion

In this article, we have answered some frequently asked questions about converting fractions to decimals. We have seen that converting fractions to decimals is an important skill that is used in many real-world applications. We have also seen that decimals are often used in finance, science, and engineering, and that they are easier to work with than fractions in many cases.

Additional Resources

  • For more information on fractions and decimals, please visit the following websites:
  • Math is Fun
  • Khan Academy
  • For more practice problems on converting fractions to decimals, please visit the following websites:
  • Mathway
  • Symbolab

Frequently Asked Questions: Converting Decimals to Fractions

Q: What is the fraction equivalent of the decimal 0.5?

A: The fraction equivalent of the decimal 0.5 is 1/2.

Q: How do I convert a decimal to a fraction?

A: To convert a decimal to a fraction, you need to express the decimal as a sum of powers of 10 and then convert it to a fraction.

Q: What is the process of converting a decimal to a fraction?

A: The process of converting a decimal to a fraction involves expressing the decimal as a sum of powers of 10 and then converting it to a fraction.

Q: Why do I need to convert decimals to fractions?

A: You need to convert decimals to fractions because fractions are often used in mathematics and science, and they are easier to work with than decimals in many cases.

Q: Can I convert a fraction to a decimal?

A: Yes, you can convert a fraction to a decimal. To do this, you need to divide the numerator by the denominator and write the result as a decimal.

Q: How do I convert a fraction to a decimal?

A: To convert a fraction to a decimal, you need to divide the numerator by the denominator and write the result as a decimal.

Q: What is the difference between a fraction and a decimal?

A: A fraction is a way to express a part of a whole, while a decimal is a way to express a value as a sum of powers of 10. Fractions are often used in mathematics and science, while decimals are often used in real-world applications.

Q: Can I use a calculator to convert decimals to fractions?

A: Yes, you can use a calculator to convert decimals to fractions. Most calculators have a decimal-to-fraction conversion function that you can use to convert decimals to fractions.

Q: How do I know if a decimal can be converted to a fraction?

A: Any decimal can be converted to a fraction. To convert a decimal to a fraction, you need to express the decimal as a sum of powers of 10 and then convert it to a fraction.