9.5 Expressed As A Fraction In Simplest Form

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Understanding fractions and decimals is essential for various mathematical operations, and converting between the two forms can be a valuable skill. One such conversion involves expressing 9.5 as a fraction in its simplest form.

What is a Fraction?

Before diving into converting 9.5 into a fraction, let's briefly discuss what a fraction is. A fraction is a way to express a part of a whole as a ratio of two numbers. It consists of a numerator (the top number) and a denominator (the bottom number), separated by a line. The numerator tells us how many equal parts we have, and the denominator tells us how many parts the whole is divided into.

Converting 9.5 to a Fraction

To convert 9.5 into a fraction, we can follow a simple step-by-step process. Since 9.5 is a decimal number, we can express it as 9 and 5 tenths. We can represent the decimal part (0.5) as a fraction by placing 5 over 10, since there are 10 tenths in a whole.

9.5 = 9 + 0.5 = 9 + 5/10

Now, we can simplify the fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). In this case, the GCD of 5 and 10 is 5.

= 9 + 5/10 = 9 + 1/2

So, 9.5 can be expressed as a mixed fraction: 9 1/2.

Simplifying Mixed Fractions

To simplify the mixed fraction further, we can convert it to an improper fraction. To do this, we multiply the whole number part (9) by the denominator (2), then add the numerator (1). The result becomes the new numerator, while the denominator remains the same.

9 1/2 = (9 × 2) + 1 / 2 = 18 + 1 / 2 = 19/2

Therefore, 9.5 can be expressed as a fraction in its simplest form: 19/2.

Practical Applications

Converting decimals to fractions is a useful skill in various real-world scenarios, such as:

• Cooking and recipe scaling
• Measuring ingredients and quantities
• Calculating ratios and proportions
• Solving mathematical problems and equations

Understanding how to convert decimals to fractions can also help with mental math calculations and estimating quantities.

Conclusion - Mastering Fraction Conversions

Mastering the skill of converting decimals to fractions can enhance your mathematical abilities and problem-solving skills. By following the simple steps outlined in this article, you can easily express 9.5 as a fraction in its simplest form: 19/2.

If you have any questions or would like to share your own experiences with fraction conversions, please leave a comment below.