The decimal value 0.5625 can be converted to a fraction by dividing it by 1. This is a simple process that involves finding the equivalent fraction for the given decimal.
Understanding Decimal to Fraction Conversion
To convert a decimal to a fraction, we need to understand the relationship between decimals and fractions. A decimal is a way of expressing a number that is less than 1, and it is represented by a point (.) followed by one or more digits. A fraction, on the other hand, is a way of expressing a number that is a part of a whole, and it is represented by two numbers: a numerator and a denominator.
Converting 0.5625 to a Fraction
To convert 0.5625 to a fraction, we can start by writing it as 5625/10000. This is because the decimal point is four places to the right of the whole number, so we can multiply it by 10000 to remove the decimal point.
Now, we can simplify the fraction 5625/10000 by dividing both the numerator and denominator by their greatest common divisor (GCD).
Simplifying the Fraction
The GCD of 5625 and 10000 is 625. Therefore, we can divide both numbers by 625 to simplify the fraction:
5625 ÷ 625 = 9 10000 ÷ 625 = 16
So, the simplified fraction is 9/16.
Verifying the Simplified Fraction
To verify that the simplified fraction is correct, we can convert it back to a decimal by dividing the numerator by the denominator:
9 ÷ 16 = 0.5625
This confirms that the simplified fraction 9/16 is equal to the original decimal value 0.5625.
Conclusion
In this article, we have learned how to convert the decimal value 0.5625 to a fraction. By dividing the decimal by 1, we can find the equivalent fraction, which is 5625/10000. Simplifying this fraction by dividing both numbers by their GCD (625), we get the final answer: 9/16.
Key Takeaways
- Decimals can be converted to fractions by dividing them by 1.
- Fractions can be simplified by dividing both the numerator and denominator by their GCD.
- The simplified fraction 9/16 is equal to the original decimal value 0.5625.
What is the simplified fraction for 0.5625?
+The simplified fraction for 0.5625 is 9/16.
How do you convert a decimal to a fraction?
+To convert a decimal to a fraction, divide it by 1.
What is the greatest common divisor (GCD) of 5625 and 10000?
+The GCD of 5625 and 10000 is 625.