23.75 as a fraction

New Era

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11-03-2025

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Meta Description: Learn how to convert the decimal 23.75 into a fraction. This comprehensive guide provides a step-by-step process, explains the concept of decimals and fractions, and offers additional examples to solidify your understanding. Master fraction conversion with ease!

Understanding Decimals and Fractions

Before diving into the conversion of 23.75 to a fraction, let's refresh our understanding of decimals and fractions.

• Decimals: Decimals represent parts of a whole number using a base-ten system. The digits to the right of the decimal point represent tenths, hundredths, thousandths, and so on. For example, 0.75 represents 75 hundredths.

• Fractions: Fractions represent parts of a whole using a numerator (top number) and a denominator (bottom number). The numerator indicates the number of parts, and the denominator indicates the total number of parts in the whole. For example, ¾ represents three out of four equal parts.

Converting 23.75 to a Fraction

Now, let's convert the decimal 23.75 into a fraction. Here's a step-by-step process:

1. Identify the place value of the last digit: In 23.75, the last digit (5) is in the hundredths place.

2. Write the decimal as a fraction: Since the last digit is in the hundredths place, we can write 23.75 as 2375/100. This means 2375 parts out of 1000 parts.

3. Simplify the fraction: To simplify the fraction, we find the greatest common divisor (GCD) of the numerator (2375) and the denominator (100). The GCD of 2375 and 100 is 25.

4. Divide both the numerator and denominator by the GCD: Dividing both 2375 and 100 by 25, we get 95/4.

Therefore, 23.75 as a fraction is 95/4.

Checking Your Work

You can always check your work by dividing the numerator by the denominator. 95 divided by 4 equals 23.75, confirming our conversion is correct.

Additional Examples

Let's practice with a few more examples:

Example 1: Converting 0.25 to a fraction

1. The last digit (5) is in the hundredths place, so we write it as 25/100.
2. Simplifying the fraction by dividing both numerator and denominator by 25 gives us 1/4.

Therefore, 0.25 as a fraction is 1/4.

Example 2: Converting 5.5 to a fraction

1. The last digit (5) is in the tenths place, so we write it as 55/10.
2. Simplifying the fraction by dividing both numerator and denominator by 5 gives us 11/2.

Therefore, 5.5 as a fraction is 11/2.

Why is understanding fraction conversion important?

Understanding how to convert decimals to fractions is crucial for various applications, including:

• Mathematics: Solving equations, simplifying expressions, and working with ratios and proportions.
• Science: Measuring quantities, analyzing data, and understanding scientific concepts.
• Engineering: Designing structures, calculating measurements, and solving engineering problems.
• Everyday Life: Cooking, measuring ingredients, and understanding proportions in daily tasks.

This skill helps build a strong foundation in mathematical understanding and opens doors to more complex calculations and problem-solving. Mastering this skill will make working with numbers much easier and more intuitive.