Converting 1.5625 As A Fraction? If you are struggling with converting decimal numbers to fractions, you are not alone. It can be tricky to convert decimals to fractions, especially if the decimal number has multiple decimal places. In this article, we will guide you through a step-by-step process on how to convert 1.5625 to a fraction.
Before we dive into the conversion process, let’s review the basics of fractions. A fraction is a way of representing a part of a whole or a ratio between two numbers. A fraction consists of two parts, the numerator, and the denominator. The numerator represents the number of parts being considered, while the denominator represents the total number of equal parts that make up the whole.
Converting 1.5625 To A Fraction
To convert 1.5625 to a fraction, we need to follow these simple steps:
Step 1: Write down the decimal number as a fraction with a denominator of 1.
1.5625 = 1.5625/1
Step 2: Multiply both the numerator and the denominator by 10000 to eliminate the decimal point.
1.5625/1 x 10000/10000 = 15625/10000
Step 3: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF).
15625/10000 ÷ 625/400 = 25/16
Therefore, 1.5625 as a fraction is equal to 25/16.
Simplifying The Fraction
Now that we have converted 1.5625 to a fraction, we can simplify it further by dividing both the numerator and denominator by their GCF.
Step 1: Find the GCF of 25 and 16.
25: 1, 5, 25
16: 1, 2, 4, 8, 16
The GCF of 25 and 16 is 1.
Step 2: Divide both the numerator and denominator by 1.
25/1 = 25
16/1 = 16
Therefore, 1.5625 as a fraction in its simplest form is 25/16.
Converting decimal numbers to fractions is an important math skill that is used in many areas of life. By following the steps outlined in this article, you can easily convert 1.5625 to a fraction. Remember to simplify the fraction by dividing both the numerator and denominator by their GCF to get the simplest form of the fraction. With practice, you can become proficient in converting decimal numbers to fractions.
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