Convert 0.63 To A Simple Fraction In 2 Easy Steps

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Converting a decimal to a fraction can be a simple process that involves understanding the place value of the digits in the decimal number. Here's how to convert 0.63 to a simple fraction in 2 easy steps.

0.63 is a decimal number that represents sixty-three hundredths. To convert this decimal to a fraction, we can follow these steps:

Step 1: Write the Decimal as a Fraction

To write 0.63 as a fraction, we can express it as 63/100. This is because the decimal point is moved two places to the right, indicating that 63 is the numerator (the number on top) and 100 is the denominator (the number on the bottom).

Understanding the Fraction 63/100

The fraction 63/100 tells us that we have sixty-three equal parts out of a total of one hundred parts. However, we can simplify this fraction further to make it more manageable.

Step 2: Simplify the Fraction

To simplify the fraction 63/100, we need to find the greatest common divisor (GCD) of both numbers. The GCD of 63 and 100 is 1, which means that the fraction is already in its simplest form. However, we can express it as a more straightforward fraction by dividing both numbers by their GCD.

Since the GCD is 1, we can divide both numbers by 1, which doesn't change the fraction. However, we can also express it as 63/100 = 0.63 = 9/16 * 7/10 = 63/100, which shows that 63/100 is already the simplest form of the fraction.

Alternative Simplification Method

Alternatively, we can simplify the fraction 63/100 by finding the prime factors of both numbers. The prime factors of 63 are 3^2 * 7, and the prime factors of 100 are 2^2 * 5^2.

However, since there are no common prime factors between 63 and 100, the fraction 63/100 is already in its simplest form.

Conclusion and Final Thoughts

In conclusion, converting 0.63 to a simple fraction involves writing it as 63/100 and simplifying it to its simplest form. While the fraction 63/100 is already in its simplest form, we can use alternative methods such as finding the prime factors of both numbers to confirm this.

By following these 2 easy steps, you can convert any decimal number to a fraction and simplify it to its simplest form.

We hope this article has been helpful in explaining how to convert 0.63 to a simple fraction. Do you have any questions or comments about this topic? Please feel free to share them below.