Which Fraction Is Equal To $52.7$?A. $\frac{100}{527}$ B. $ 527 100 \frac{527}{100} 100 527 ​ [/tex] C. $\frac{527}{10}$ D. $\frac{10}{527}$

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Introduction

In mathematics, fractions are a way to represent a part of a whole. They are used to express a ratio of two numbers, where the numerator represents the number of equal parts and the denominator represents the total number of parts. In this article, we will explore which fraction is equal to 52.7.

Understanding the Problem

To find the fraction equal to 52.7, we need to convert the decimal number to a fraction. We can do this by expressing 52.7 as a sum of a whole number and a decimal. In this case, 52.7 can be expressed as 52 + 0.7.

Converting 0.7 to a Fraction

To convert 0.7 to a fraction, we can multiply it by 10 to get 7. Then, we can express 7 as a fraction by dividing it by 1. Therefore, 0.7 can be expressed as 7/10.

Expressing 52.7 as a Fraction

Now that we have expressed 0.7 as a fraction, we can express 52.7 as a fraction by adding 52 to 7/10. To do this, we can convert 52 to a fraction by dividing it by 1. Therefore, 52.7 can be expressed as 52 + 7/10.

Finding the Fraction

To find the fraction equal to 52.7, we need to find a fraction that is equal to 52 + 7/10. We can do this by finding a common denominator for 52 and 7/10. The common denominator for 52 and 7/10 is 10.

Simplifying the Fraction

Now that we have found the common denominator, we can simplify the fraction by adding 52 and 7/10. To do this, we can convert 52 to a fraction with a denominator of 10. Therefore, 52 can be expressed as 520/10.

Adding the Fractions

Now that we have expressed 52 as a fraction with a denominator of 10, we can add 520/10 and 7/10. To do this, we can add the numerators and keep the denominator the same. Therefore, 520/10 + 7/10 = 527/10.

Conclusion

In conclusion, the fraction equal to 52.7 is 527/10. This fraction can be expressed as 52.7 by adding 52 to 7/10.

Answer

The correct answer is C. 527/10.

Comparison of Options

Let's compare the options to see which one is equal to 52.7.

  • Option A: 100/527 is not equal to 52.7.
  • Option B: 527/100 is not equal to 52.7.
  • Option C: 527/10 is equal to 52.7.
  • Option D: 10/527 is not equal to 52.7.

Conclusion

In conclusion, the fraction equal to 52.7 is 527/10. This fraction can be expressed as 52.7 by adding 52 to 7/10.

Final Answer

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

A: A fraction is a way to represent a part of a whole, where the numerator represents the number of equal parts and the denominator represents the total number of parts. A decimal, on the other hand, is a way to represent a number as a sum of whole numbers and fractions.

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

A: To convert a decimal to a fraction, you can multiply it by 10 to get a whole number, and then express the whole number as a fraction by dividing it by 1. For example, to convert 0.7 to a fraction, you can multiply it by 10 to get 7, and then express 7 as a fraction by dividing it by 1.

Q: How do I add fractions with different denominators?

A: To add fractions with different denominators, you need to find a common denominator. The common denominator is the smallest number that both denominators can divide into evenly. Once you have found the common denominator, you can add the fractions by adding the numerators and keeping the denominator the same.

Q: How do I simplify a fraction?

A: To simplify a fraction, you need to find the greatest common divisor (GCD) of the numerator and the denominator. The GCD is the largest number that both the numerator and the denominator can divide into evenly. Once you have found the GCD, you can divide both the numerator and the denominator by the GCD to simplify the fraction.

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. An improper fraction is a fraction where the numerator is greater than or equal to the denominator.

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

A: To convert a mixed number to an improper fraction, you need to multiply the whole number by the denominator, and then add the numerator. The result is the new numerator, and the denominator remains the same.

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

A: To convert an improper fraction to a mixed number, you need to divide the numerator by the denominator, and then write the result as a mixed number.

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

A: A fraction is a way to represent a part of a whole, where the numerator represents the number of equal parts and the denominator represents the total number of parts. A percentage is a way to represent a number as a fraction of 100.

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

A: To convert a fraction to a percentage, you need to divide the numerator by the denominator, and then multiply the result by 100.

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

A: To convert a percentage to a fraction, you need to divide the percentage by 100, and then express the result as a fraction.

Conclusion

In conclusion, fractions are an important concept in mathematics, and understanding how to work with them is essential for solving problems in various fields. By following the steps outlined in this article, you can convert decimals to fractions, add fractions with different denominators, simplify fractions, and convert between different forms of fractions.