If you’ve ever wondered what 11.25 as a fraction is, you’re not alone. Many people struggle with converting decimals to fractions, especially when they have repeating or non-repeating decimals. In this article, we’ll explore the basics of decimal to fraction conversion, and specifically, how to convert 11.25 to a fraction.
Understanding Decimal and Fraction Basics
Before we dive into the specifics of converting 11.25 to a fraction, it’s important to understand the basics of decimals and fractions. A decimal is a way to express a number that represents parts of a whole. For example, 0.5 represents half of a whole. On the other hand, a fraction is also a way to express a number that represents parts of a whole, but it is written in the form of a ratio of two integers. For example, 1/2 represents half of a whole.
Converting Decimals to Fractions: The Basics
To convert a decimal to a fraction, you need to follow a few simple steps. First, write the decimal as a fraction with a denominator of 1. For example, 0.5 can be written as 0.5/1. Next, multiply both the numerator and the denominator by 10 until the decimal part disappears. In the case of 0.5/1, multiplying by 10 gives us 5/10. Finally, simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). In this case, the GCF of 5 and 10 is 5, so we can simplify 5/10 to 1/2.
Converting 11.25 to a Fraction
Now that we’ve covered the basics of converting decimals to fractions, let’s apply those steps to the specific case of 11.25. First, we’ll write 11.25 as a fraction with a denominator of 1: 11.25/1. Next, we’ll multiply both the numerator and the denominator by 100 to get rid of the decimal point:
11.25/1 = 1125/100
Finally, we’ll simplify the fraction by dividing both the numerator and denominator by their GCF. In this case, the GCF of 1125 and 100 is 25:
1125/100 = 45/4
So, 11.25 as a fraction is 45/4.
Tips and Tricks for Decimal to Fraction Conversion
Converting decimals to fractions can be tricky, especially when the decimal is repeating or non-repeating. Here are a few tips and tricks to keep in mind:
Non-Repeating Decimals
For non-repeating decimals, follow the basic steps of multiplying by a power of 10 and simplifying the fraction.
Repeating Decimals
For repeating decimals, you can use a pattern of digits to create a fraction. For example, 0.333… can be written as 1/3 because the pattern of 3s repeats indefinitely.
Mixed Numbers
If your decimal is a mixed number, first convert the whole number part to a fraction by multiplying it by the denominator of the fraction, then add the result to the fraction part.
Reduce Early
To avoid large numbers when simplifying fractions, try to reduce the numerator and denominator as early as possible.
Conclusion
Converting decimals to fractions is a fundamental skill in mathematics that can come in handy in many different contexts. By following the basic steps and keeping a few tips and tricks in mind.
