How To Convert 9.25 As A Fraction? Fractions are a fundamental aspect of mathematics, and they are used in many real-life situations. However, converting a decimal number to a fraction can be challenging, especially for those who are not familiar with the process. In this article, we will guide you through the steps on how to convert 9.25 to a fraction.
Understanding Fractions
Before we dive into the process of converting 9.25 to a fraction, let’s briefly review the concept of fractions. A fraction represents a part of a whole or a ratio between two numbers. It has two parts: a numerator and a denominator. The numerator represents the part being considered, while the denominator represents the total number of equal parts that make up the whole.
Converting 9.25 To A Fraction
To convert 9.25 to a fraction, follow these simple steps:
Step 1: Write down the decimal number as a fraction.
9.25 = 9.25/1
Step 2: Multiply both the numerator and the denominator by 100 to eliminate the decimal point.
9.25/1 x 100/100 = 925/100
Step 3: Simplify the fraction by dividing both the numerator and the denominator by their greatest common factor (GCF).
925/100 ÷ 25/25 = 37/4
Therefore, 9.25 as a fraction is equal to 37/4.
Simplifying The Fraction
Now that we have converted 9.25 to a fraction, we can simplify it further by dividing both the numerator and the denominator by their GCF.
Step 1: Find the GCF of 37 and 4.
37: 1, 37
4: 1, 2, 4
The GCF of 37 and 4 is 1.
Step 2: Divide both the numerator and the denominator by 1.
37/1 = 37
4/1 = 4
Therefore, 9.25 as a fraction in its simplest form is 37/4.
Conclusion
Converting a decimal number to a fraction is a crucial skill in mathematics, and it has various applications in different fields. By following the steps outlined in this article, you can easily convert 9.25 to a fraction. Remember to simplify the fraction by dividing both the numerator and the denominator by their GCF to get the simplest form of the fraction. With practice, you can master the skill of converting decimal numbers to fractions.
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FAQ
What Is 9.5 As A Fraction?
The numerator of the fraction is how many tenths you have. In 9.5, you have 5 tenths, which is equal to the fraction 5/10. This gives you the mixed number 9 5/10.
What Is 9.4 As A Fraction?
9.4 as a fraction is 47/5.
What Is The Decimal For 9 1 4?
9 1/4 as a decimal is 9.25.
What Is 9 1 2 In Fraction Form?
Answer and Explanation: The mixed number 9 1/2 is equivalent to the improper fraction 19/2. This is an improper fraction because the numerator, 19, is greater than the denominator, 2.
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