What Is 6.25 As A Fraction?

Are you curious to know what is 6.25 as a fraction? You have come to the right place as I am going to tell you everything about 6.25 as a fraction in a very simple explanation. Without further discussion let’s begin to know what is 6.25 as a fraction?

What Is 6.25 As A Fraction?

Numbers can be represented in various forms, including decimals and fractions. When you encounter a decimal like 6.25 and want to express it as a fraction, it’s essential to understand the process of converting decimals to fractions. In this blog, we’ll explore how to express 6.25 as a fraction, step by step, and provide insights into the underlying mathematics.

Understanding Decimal Notation

Decimals are a way of representing numbers that fall between two whole numbers. They are expressed in the form of a whole number followed by a decimal point and one or more digits. For example, 6.25 is a decimal, where 6 is the whole number part, and 25 is the decimal part.

Expressing 6.25 As A Fraction

To convert the decimal 6.25 into a fraction, follow these steps:

Step 1: Identify the Decimal Place Value

In the decimal 6.25, the last digit, 5, is in the hundredths place. This means that 6.25 can be seen as 6 wholes plus 25 hundredths.

Step 2: Write the Decimal as a Fraction Over a Power of 10

To express 25 hundredths as a fraction, write it as a fraction over a power of 10. In this case, 25/100 can be simplified. Both 25 and 100 have a common factor of 25, so divide both the numerator and denominator by 25:

25 ÷ 25 = 1 (numerator)

100 ÷ 25 = 4 (denominator)

So, 25/100 simplifies to 1/4.

Step 3: Combine the Whole Number and Fraction

Now that you have expressed the decimal part as a fraction, you can combine it with the whole number part, which is 6.

So, 6.25 as a fraction is:

6 + 1/4

Step 4: Convert the Whole Number to a Fraction

To combine the whole number 6 with the fraction 1/4, you need to express 6 as a fraction over 1 (since any whole number divided by 1 remains the same):

6/1

Now, you can add the two fractions together:

6/1 + 1/4

Step 5: Add the Fractions

To add fractions, they must have a common denominator. In this case, both fractions have denominators of 1 and 4, respectively. To make them have a common denominator, you can express 6/1 as 24/4:

24/4 + 1/4

Now that the fractions have the same denominator, you can add their numerators:

(24 + 1)/4 = 25/4

So, 6.25 can be expressed as the fraction 25/4.

Conclusion

Converting decimals to fractions is a valuable mathematical skill that allows you to represent numbers in different forms. In the case of 6.25, it can be expressed as the fraction 25/4, which represents the same value but in a different mathematical notation. Understanding these conversions enhances your mathematical flexibility and problem-solving capabilities, allowing you to work with numbers in various contexts and formats.

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FAQ

Is 6.25 The Same As 6 1 4?

We got 6.25 as the answer when you convert 6 1/4 (or 25/4) to a decimal.

What Is 6.56 As A Fraction?

6.56 as a fraction is 164/25.

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