3.25 As A Fraction Simplified

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The decimal number 3.25 can be converted to a fraction in a few simple steps. Understanding how decimals translate to fractions can be very useful in various mathematical operations and real-world applications.

Understanding the Conversion Process

To convert a decimal to a fraction, we need to express the decimal part as a fraction of 1. In the case of 3.25, the decimal part is.25. This decimal part is essentially twenty-five hundredths, because.25 is the same as 25/100.

Converting.25 to a Simplified Fraction

To simplify.25 (or 25/100), we divide both the numerator (25) and the denominator (100) by their greatest common divisor (GCD), which in this case is 25. When we divide 25 by 25, we get 1, and when we divide 100 by 25, we get 4.

So,.25 as a simplified fraction is 1/4.

Combining the Whole Number and Fraction

Since the original number was 3.25, we need to combine the whole number part (3) with the fraction part we just simplified (1/4). This gives us a mixed number.

To convert this to an improper fraction (a single fraction that combines the whole number and fraction parts), we multiply the denominator of the fraction part (4) by the whole number (3), and then add the numerator of the fraction part (1). This becomes the new numerator. The denominator remains the same.

3 * 4 = 12 12 + 1 = 13

So, the improper fraction representing 3.25 is 13/4.

Verifying the Conversion

To verify that 13/4 accurately represents 3.25, we can convert it back to a decimal by dividing the numerator by the denominator.

13 / 4 = 3.25

This confirms that 3.25 as a fraction in its simplest form is indeed 13/4.

Conclusion: Putting It All Together

Understanding how to convert decimals to fractions and simplifying them is a fundamental skill in mathematics. Being able to express numbers like 3.25 as fractions (13/4 in this case) not only enhances mathematical operations but also deepens our understanding of numerical relationships.

If you found this explanation helpful, please share your thoughts or ask any questions you might have in the comments below.