10.25 as a fraction

Guri Bee

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20-10-2024

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Unmasking the Mystery: 10.25 as a Fraction

Have you ever encountered a decimal like 10.25 and wondered how to express it as a fraction? It might seem daunting at first, but the process is surprisingly straightforward. This article will guide you through the transformation, using examples and explanations to demystify the process.

Understanding Decimals and Fractions

Before we dive into the conversion, let's refresh our understanding of decimals and fractions.

• Decimals: These represent parts of a whole number, using a decimal point to separate the whole number from the fractional part. For example, 10.25 has a whole number part (10) and a fractional part (0.25).
• Fractions: These express parts of a whole using a numerator (top number) and a denominator (bottom number). The numerator indicates the number of parts we have, and the denominator indicates the total number of parts in the whole.

Converting 10.25 to a Fraction

Step 1: Identify the Decimal Places

In 10.25, the decimal point is followed by two digits, indicating hundredths.

Step 2: Write the Decimal as a Fraction

• Numerator: The digits after the decimal point become the numerator. In this case, it's 25.
• Denominator: The denominator is based on the place value of the last digit in the decimal. Since we have hundredths, the denominator is 100.

Therefore, 10.25 becomes the fraction 25/100.

Step 3: Simplify the Fraction

The fraction 25/100 can be simplified by finding the greatest common factor (GCD) of both the numerator and denominator, which is 25. Dividing both by 25, we get:

25/25 = 1 100/25 = 4

Therefore, 10.25 simplified as a fraction is 1/4.

Practical Example

Imagine you have 10.25 meters of ribbon. You want to divide it into equal parts for a craft project. Converting 10.25 to the fraction 1/4 makes it easier to visualize and understand. You can see that you have one part out of four total parts.

Conclusion

Converting a decimal to a fraction might seem complicated initially, but by following these simple steps, you can easily convert any decimal into its fractional form. Remember, understanding the place values and using the GCD for simplification are key to achieving the most accurate representation.