Convert 9.375 To Fraction In Simplest Form

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Converting 9.375 to a fraction in simplest form involves finding the closest fraction to this decimal value.

9.375 = 375/40

To simplify the fraction, we divide the numerator and the denominator by 5:

375 ÷ 5 = 75 40 ÷ 5 = 8

So, 9.375 = 75/8

We can further simplify the fraction by dividing the numerator and the denominator by their greatest common divisor, which is 1:

75 ÷ 1 = 75 8 ÷ 1 = 8

Therefore, the simplest form of the fraction 9.375 is 75/8.

Understanding Fractions

Fractions are a way of expressing a part of a whole as a ratio of two numbers. The top number, or the numerator, represents the number of equal parts we have, while the bottom number, or the denominator, represents the total number of equal parts the whole is divided into.

Basic Concepts of Fractions

• Numerator: The top number in a fraction that represents the number of equal parts we have.
• Denominator: The bottom number in a fraction that represents the total number of equal parts the whole is divided into.
• Equal parts: The basic unit of a fraction, where the whole is divided into equal parts.

For example, in the fraction 3/4, the numerator is 3, and the denominator is 4. This means we have 3 equal parts out of a total of 4 equal parts.

How to Convert a Decimal to a Fraction

Converting a decimal to a fraction involves finding the closest fraction to the decimal value.

Here are the steps to convert a decimal to a fraction:

1. Identify the decimal value: The decimal value we want to convert to a fraction, in this case, 9.375.
2. Find the closest fraction: We find the closest fraction to the decimal value by dividing the decimal value by 1.
3. Simplify the fraction: We simplify the fraction by dividing the numerator and the denominator by their greatest common divisor.

By following these steps, we can convert any decimal value to a fraction in simplest form.

Real-World Applications of Fractions

Fractions have numerous real-world applications in various fields, including:

• Cooking: Measuring ingredients for recipes often involves fractions, such as 1/4 cup or 3/4 teaspoon.
• Finance: Interest rates and investment returns are often expressed as fractions, such as 1/2% or 3/4%.
• Science: Scientific measurements, such as 1/2 inch or 3/4 meter, often involve fractions.

Conclusion

In conclusion, converting 9.375 to a fraction in simplest form involves finding the closest fraction to the decimal value and simplifying it. By understanding the basic concepts of fractions and how to convert decimals to fractions, we can apply fractions in various real-world applications.

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