Which Fraction Of 960 Is Equal To 720?A. $\frac{4}{6}$B. $\frac{3}{5}$C. $\frac{3}{4}$D. $\frac{4}{3}$

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Introduction

Fractions are a fundamental concept in mathematics, and they play a crucial role in various mathematical operations. In this article, we will explore the concept of fractions and how to find the fraction of a given number that is equal to another number. Specifically, we will find the fraction of 960 that is equal to 720.

Understanding Fractions

A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of equal parts we have, while the denominator represents the total number of parts the whole is divided into.

For example, the fraction 12\frac{1}{2} represents one half of a whole. The numerator is 1, and the denominator is 2. This means that we have one part out of a total of two parts.

Finding the Fraction of 960 Equal to 720

To find the fraction of 960 that is equal to 720, we need to divide 720 by 960. This will give us the ratio of 720 to 960.

720960=34\frac{720}{960} = \frac{3}{4}

This means that 720 is equal to three quarters of 960.

Analyzing the Options

Now that we have found the fraction of 960 that is equal to 720, let's analyze the options given:

A. 46\frac{4}{6}

B. 35\frac{3}{5}

C. 34\frac{3}{4}

D. 43\frac{4}{3}

From our previous calculation, we know that the fraction of 960 that is equal to 720 is 34\frac{3}{4}. Therefore, option C is the correct answer.

Conclusion

In this article, we explored the concept of fractions and how to find the fraction of a given number that is equal to another number. We found that the fraction of 960 that is equal to 720 is 34\frac{3}{4}. This demonstrates the importance of fractions in mathematics and how they can be used to solve problems.

Real-World Applications

Fractions have numerous real-world applications. For example, in cooking, fractions are used to measure ingredients. In construction, fractions are used to measure materials. In finance, fractions are used to calculate interest rates.

Tips and Tricks

Here are some tips and tricks to help you work with fractions:

  • Simplify fractions: To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD).
  • Add and subtract fractions: To add or subtract fractions, make sure they have the same denominator. If they don't, find the least common multiple (LCM) of the denominators and convert both fractions to have that denominator.
  • Multiply and divide fractions: To multiply or divide fractions, multiply or divide the numerators and denominators separately.

Common Mistakes

Here are some common mistakes to avoid when working with fractions:

  • Not simplifying fractions: Failing to simplify fractions can lead to incorrect answers.
  • Not finding the least common multiple: Failing to find the least common multiple of the denominators can lead to incorrect answers.
  • Not multiplying or dividing fractions correctly: Failing to multiply or divide fractions correctly can lead to incorrect answers.

Conclusion

In conclusion, fractions are an essential concept in mathematics, and they have numerous real-world applications. By understanding how to find the fraction of a given number that is equal to another number, we can solve problems and make informed decisions. Remember to simplify fractions, add and subtract fractions with the same denominator, multiply and divide fractions correctly, and avoid common mistakes.

Final Answer

The final answer is 34\boxed{\frac{3}{4}}.

Introduction

Fractions are a fundamental concept in mathematics, and they can be a bit tricky to understand at first. However, with practice and patience, you can become proficient in working with fractions. In this article, we will answer some frequently asked questions about fractions to help you better understand this concept.

Q: What is a fraction?

A: A fraction is a way of expressing a part of a whole as a ratio of two numbers. It consists of a numerator (the number on top) and a denominator (the number on the bottom). The numerator represents the number of equal parts we have, while the denominator represents the total number of parts the whole is divided into.

Q: How do I simplify a fraction?

A: To simplify a fraction, divide both the numerator and the denominator by their greatest common divisor (GCD). For example, to simplify the fraction 1218\frac{12}{18}, we can divide both the numerator and the denominator by 6, which is their GCD. This gives us 23\frac{2}{3}.

Q: How do I add and subtract fractions?

A: To add or subtract fractions, make sure they have the same denominator. If they don't, find the least common multiple (LCM) of the denominators and convert both fractions to have that denominator. Then, add or subtract the numerators and keep the same denominator.

Q: How do I multiply and divide fractions?

A: To multiply or divide fractions, multiply or divide the numerators and denominators separately. For example, to multiply the fractions 23\frac{2}{3} and 45\frac{4}{5}, we can multiply the numerators and denominators separately, which gives us 815\frac{8}{15}.

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. For example, 12\frac{1}{2} is a proper fraction. An improper fraction is a fraction where the numerator is greater than or equal to the denominator. For example, 32\frac{3}{2} is an improper fraction.

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

A: To convert a mixed number to an improper fraction, multiply the whole number part by the denominator and add the numerator. Then, write the result as an improper fraction with the denominator.

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

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

Q: What is the least common multiple (LCM) of two numbers?

A: The least common multiple (LCM) of two numbers is the smallest number that is a multiple of both numbers. For example, the LCM of 4 and 6 is 12.

Q: How do I find the LCM of two numbers?

A: To find the LCM of two numbers, list the multiples of each number and find the smallest number that is common to both lists.

Q: What is the greatest common divisor (GCD) of two numbers?

A: The greatest common divisor (GCD) of two numbers is the largest number that divides both numbers without leaving a remainder. For example, the GCD of 12 and 18 is 6.

Q: How do I find the GCD of two numbers?

A: To find the GCD of two numbers, list the factors of each number and find the largest number that is common to both lists.

Conclusion

In conclusion, fractions are a fundamental concept in mathematics, and they can be a bit tricky to understand at first. However, with practice and patience, you can become proficient in working with fractions. We hope that this article has helped you to better understand fractions and how to work with them.

Final Answer

The final answer is that fractions are a fundamental concept in mathematics, and they have numerous real-world applications. By understanding how to work with fractions, you can solve problems and make informed decisions.