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Hey there! Have you ever wondered how to express the fraction 1/25 as a decimal? Well, you’re in the right place because I’m about to break it down for you. In this article, I’ll explain the step-by-step process of converting 1/25 into a decimal form. Whether you’re a student struggling with math homework or just curious about the concept, I’ve got you covered. So, let’s dive in and discover the decimal representation of 1/25!
1/25 as a Decimal
What is a Decimal Number?
A decimal number is a number that consists of two parts, separated by a decimal point. The part to the left of the decimal point represents a whole number, while the part to the right represents a fraction or a decimal fraction. Decimal numbers are used to represent values that fall between whole numbers.
In a decimal number, each digit to the right of the decimal point represents a decreasing power of 10. For example, the digit immediately to the right of the decimal point represents tenths (10^(-1)), the next digit represents hundredths (10^(-2)), and so on.
Converting Fractions to Decimals
Converting fractions to decimals is a common task in math. It allows us to express fractions in a more convenient and familiar way. To convert a fraction to a decimal, divide the numerator (the top number) by the denominator (the bottom number).
Let’s take the fraction 1/25 as an example. To convert this fraction to a decimal, divide 1 by 25:
1 รท 25 = 0.04
So, 1/25 expressed as a decimal is 0.04.
Remember that not all fractions can be easily converted to decimals. Some fractions have repeating decimal representations, which means the decimal digits go on forever without repeating. For example, 1/3 is equal to 0.3333…, where the 3s go on infinitely. In such cases, it’s common to round the decimal to a certain number of decimal places to make it more manageable.
Converting 1/25 to a Decimal
Step 1: Write 1 as a Fraction with a Denominator of 25
To convert 1 to a fraction with a denominator of 25, I’ll write it as 1/25. This means that we have one part out of 25 equal parts.
Step 2: Divide the Numerator by the Denominator
To convert the fraction 1/25 to a decimal, I’ll divide the numerator (1) by the denominator (25).
1 divided by 25 equals 0.04.
Step 3: Simplifying the Decimal
The decimal 0.04 doesn’t need any further simplification as it is already in its simplest form.
Step 4: Decimal Representation of 1/25
The decimal representation of the fraction 1/25 is 0.04.
As we can see, the fraction 1/25 can be easily converted into a decimal by dividing 1 by 25. The resulting decimal is 0.04.
Conclusion
Converting fractions to decimals can sometimes be a challenging task, but understanding the process can make it much simpler. In this article, I have explained how to convert the fraction 1/25 into a decimal. By dividing the numerator (1) by the denominator (25), we find that the decimal representation of 1/25 is 0.04.
Converting fractions to decimals is an essential skill to have, as decimals are often used in various mathematical calculations and real-life situations. Being able to quickly convert fractions to decimals allows for easier comparisons and calculations.
Remember, when converting fractions to decimals, always divide the numerator by the denominator. It’s a straightforward process that can be applied to any fraction.
So, the next time you come across the fraction 1/25, you’ll know that its decimal representation is 0.04. Understanding this conversion can help you in various mathematical and everyday scenarios, making your life a little easier.