6.25 As A Fraction In Simplest Form: 5 Easy Steps

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In our daily lives, we often come across decimals and fractions, and it's essential to know how to convert them into their simplest forms. In this article, we will explore how to convert 6.25 as a fraction in its simplest form using 5 easy steps. We will also discuss the benefits of converting decimals to fractions and provide some practical examples.

Converting decimals to fractions is an essential skill in mathematics, and it has numerous applications in real-life scenarios. Fractions are used to represent part of a whole, and they are commonly used in cooking, science, engineering, and finance. By converting decimals to fractions, we can simplify complex calculations and make them more manageable.

Why Convert Decimals to Fractions?

Converting decimals to fractions has several benefits. Firstly, fractions are often more intuitive and easier to understand than decimals. For instance, when a recipe requires 3/4 cup of sugar, it's easier to visualize the amount than when it's written as 0.75 cups. Secondly, fractions are more precise than decimals, as they can represent exact values. Finally, converting decimals to fractions can simplify complex calculations and make them more manageable.

Step 1: Identify the Decimal

The first step in converting 6.25 as a fraction is to identify the decimal. In this case, the decimal is 6.25.

Step 2: Write the Decimal as a Fraction

To convert the decimal to a fraction, we need to write it as a fraction with a denominator that is a power of 10. In this case, we can write 6.25 as 625/100.

Step 3: Simplify the Fraction

Now that we have written the decimal as a fraction, we need to simplify it. To simplify the fraction, we need to find the greatest common divisor (GCD) of the numerator and the denominator. In this case, the GCD of 625 and 100 is 25. Therefore, we can simplify the fraction by dividing both the numerator and the denominator by 25.

Step 4: Divide the Numerator and Denominator by the GCD

By dividing both the numerator and the denominator by 25, we get:

625 ÷ 25 = 25 100 ÷ 25 = 4

So, the simplified fraction is 25/4.

Step 5: Write the Final Answer

Finally, we can write the final answer as a fraction in its simplest form. Therefore, 6.25 as a fraction in its simplest form is 25/4.

Conclusion

In conclusion, converting decimals to fractions is an essential skill in mathematics that has numerous applications in real-life scenarios. By following the 5 easy steps outlined in this article, we can convert 6.25 as a fraction in its simplest form. We hope this article has been informative and helpful in understanding the process of converting decimals to fractions. If you have any questions or need further clarification, please feel free to comment below.