Write 9.04 As A Mixed Number And As An Improper Fraction. Do Not Simplify Your Answers.
Introduction
In mathematics, decimals can be converted into mixed numbers and improper fractions, which are essential concepts in understanding and working with different types of numbers. In this article, we will focus on converting the decimal 9.04 into a mixed number and an improper fraction.
What are Mixed Numbers and Improper Fractions?
A mixed number is a combination of a whole number and a proper fraction. It is written in the form of a whole number, a fraction bar, and a proper fraction. For example, 3 1/2 is a mixed number where 3 is the whole number and 1/2 is the proper fraction.
An improper fraction, on the other hand, is a fraction where the numerator is greater than or equal to the denominator. It is written in the form of a fraction with a numerator and a denominator. For example, 7/4 is an improper fraction.
Converting 9.04 to a Mixed Number
To convert 9.04 to a mixed number, we need to separate the whole number from the decimal part. The whole number is 9, and the decimal part is 0.04.
We can write 0.04 as a fraction by dividing it by 100, which is the number of places the decimal point is shifted to the right. So, 0.04 = 4/100.
Now, we can rewrite 9.04 as a mixed number by combining the whole number and the fraction.
9.04 = 9 + 4/100
This can be written as:
9 4/100
Converting 9.04 to an Improper Fraction
To convert 9.04 to an improper fraction, we need to multiply the whole number by the denominator and then add the numerator.
In this case, the whole number is 9, and the decimal part is 0.04. We can write 0.04 as a fraction by dividing it by 100, which is the number of places the decimal point is shifted to the right. So, 0.04 = 4/100.
Now, we can multiply the whole number by the denominator and add the numerator.
9 × 100 = 900 900 + 4 = 904
So, 9.04 can be written as an improper fraction as follows:
904/100
Conclusion
In this article, we have learned how to convert the decimal 9.04 into a mixed number and an improper fraction. We have seen that 9.04 can be written as a mixed number as 9 4/100 and as an improper fraction as 904/100.
Key Takeaways
- A mixed number is a combination of a whole number and a proper fraction.
- An improper fraction is a fraction where the numerator is greater than or equal to the denominator.
- To convert a decimal to a mixed number, separate the whole number from the decimal part and write the decimal part as a fraction.
- To convert a decimal to an improper fraction, multiply the whole number by the denominator and add the numerator.
Practice Problems
- Convert 3.14 to a mixed number and an improper fraction.
- Convert 2.56 to a mixed number and an improper fraction.
- Convert 1.08 to a mixed number and an improper fraction.
Solutions
- 3.14 = 3 14/100 3.14 = 314/100
- 2.56 = 2 56/100 2.56 = 256/100
- 1.08 = 1 8/100
1.08 = 108/100
Frequently Asked Questions (FAQs) on Writing Decimals as Mixed Numbers and Improper Fractions =============================================================================================
Q: What is the difference between a mixed number and an improper fraction?
A: A mixed number is a combination of a whole number and a proper fraction, while an improper fraction is a fraction where the numerator is greater than or equal to the denominator.
Q: How do I convert a decimal to a mixed number?
A: To convert a decimal to a mixed number, separate the whole number from the decimal part and write the decimal part as a fraction. For example, to convert 9.04 to a mixed number, we separate the whole number (9) from the decimal part (0.04) and write 0.04 as a fraction (4/100).
Q: How do I convert a decimal to an improper fraction?
A: To convert a decimal to an improper fraction, multiply the whole number by the denominator and add the numerator. For example, to convert 9.04 to an improper fraction, we multiply 9 by 100 (the denominator) and add 4 (the numerator) to get 904/100.
Q: Can I simplify a mixed number or an improper fraction?
A: Yes, you can simplify a mixed number or an improper fraction by finding the greatest common divisor (GCD) of the numerator and the denominator and dividing both by the GCD. However, in this article, we are not simplifying the mixed numbers and improper fractions.
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 by the denominator and add the numerator. For example, to convert 9 4/100 to an improper fraction, we multiply 9 by 100 (the denominator) and add 4 (the numerator) to get 904/100.
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 remainder as a fraction. For example, to convert 904/100 to a mixed number, we divide 904 by 100 to get 9 with a remainder of 4, so the mixed number is 9 4/100.
Q: Can I convert a decimal to a mixed number or an improper fraction if the decimal has a negative sign?
A: Yes, you can convert a decimal with a negative sign to a mixed number or an improper fraction by following the same steps as converting a positive decimal. For example, to convert -9.04 to a mixed number, we separate the whole number (-9) from the decimal part (0.04) and write 0.04 as a fraction (4/100), resulting in -9 4/100.
Q: Can I convert a decimal to a mixed number or an improper fraction if the decimal has a repeating or non-terminating decimal?
A: Yes, you can convert a decimal with a repeating or non-terminating decimal to a mixed number or an improper fraction by following the same steps as converting a terminating decimal. However, you may need to use a calculator or a computer program to find the decimal equivalent of the repeating or non-terminating decimal.
Q: What are some common mistakes to avoid when converting decimals to mixed numbers and improper fractions?
A: Some common mistakes to avoid when converting decimals to mixed numbers and improper fractions include:
- Forgetting to separate the whole number from the decimal part
- Writing the decimal part as a fraction with the wrong denominator
- Multiplying the whole number by the wrong denominator
- Adding the numerator and denominator incorrectly
Conclusion
In this article, we have answered some frequently asked questions on writing decimals as mixed numbers and improper fractions. We have covered topics such as the difference between mixed numbers and improper fractions, how to convert decimals to mixed numbers and improper fractions, and common mistakes to avoid. We hope this article has been helpful in clarifying any doubts you may have had on this topic.