In order to answer the question, “What is 5.25 as a fraction?,” it is necessary to first understand what a fraction is. A fraction is a number that represents a part of a whole.
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Introduction
In mathematics, a fraction is a number that represents a part of a whole. It is written as a ratio of two integers, with the numerator (top number) representing the number of parts and the denominator (bottom number) representing the total number of parts. For example, one-half would be written as 1/2.
The fraction 5.25 can be written in several different ways, including 5 1/4, 21/4, or 25/4. In each case, the numerator (top number) represents the number of parts and the denominator (bottom number) represents the total number of parts. In this instance, there are five parts with each part being one-fourth (1/4) of the whole.
What is 5.25 as a Fraction?
To change 5.25 to a fraction, divide 5.25 by 1. The answer is 5.25/1 or 5 1/4. To simplify the fraction, divide the numerator and denominator by the greatest common factor of 5 and 1, which is 1. So, the simplified fraction is 5 1/4.
Decimals and Fractions
When you see a decimal number like 5.25, it means “5 and 25 hundredths.” To convert a decimal number to a fraction, you need to understand place value of decimals. The number to the left of the decimal point is worth 1 (ones), the number to the right of the decimal point is worth 1/100 (hundredths), and so on. To convert 5.25 to a fraction, look at the number to the right of the decimal point (25) and multiply it by 100. This gives you 25/100 or 1/4. You can simplify this fraction by dividing both the numerator and denominator by 25, which gives you 1/4.
Converting 5.25 to a Fraction
In order to convert 5.25 to a fraction, we need to understand what the decimal point means. A decimal point separates the whole numbers from the fractional part of a number. In other words, the decimal point is where we need to divide the number in order for it to make sense. In the number 5.25, the 5 is in the whole number place, and the 2 and 5 are in the fractional part of the number. We can represent this using a division sign like so:
5.25 = 5 ÷ 1/10 + 2/100 + 5/1000
We can simplify this further by dividing all terms by 25, which will give us:
5.25 = 1/5 + 4/200 + 1/4000
From here, we can see that 5.25 is equal to the fraction 1/5 + 4/200 + 1/4000.
Conclusion
5.25 is an improper fraction because the numerator (5) is larger than the denominator (4). To convert an improper fraction to a mixed number, divide the numerator by the denominator. The answer is 1 with a remainder of 1, so 5.25 = 1 1/4.
