Exploring the Fractional Equivalent of .375: A Detailed Analysis from george palacio's blog

When it comes to expressing decimals as fractions, one commonly encountered decimal is .375. In this section, we will delve into a detailed analysis of the fractional equivalent of .375, with a focus on simplifying the decimal representation for better understanding.

First and foremost, let us start by examining the decimal .375. This decimal consists of three digits after the decimal point, namely 3, 7, and 5. In order to express this decimal as a fraction, we need to consider the value of each digit in relation to the decimal place it occupies.

The digit 3 in .375 is in the tenths place, the digit 7 is in the hundredths place, and the digit 5 is in the thousandths place. This means that the decimal .375 can be written as 3/10 for the digit 3, 7/100 for the digit 7, and 5/1000 for the digit 5.

Next, we need to combine these fractional parts together to form a single fraction that represents the decimal .375 as a Fraction. To do this, we need to consider the place value of each digit and simplify the fraction if possible.

Starting with 3/10, we can simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which in this case is 1. This results in the simplified fraction 3/10.

Moving on to 7/100, we can also simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 1. This leads to the simplified fraction 7/100.

Lastly, for 5/1000, we simplify this fraction by dividing both the numerator and denominator by their greatest common factor, which is 5. This simplifies the fraction to 1/200.

Now, we can combine the simplified fractional parts 3/10, 7/100, and 1/200 to form a single fraction that represents the decimal .375. To do this, we need to find a common denominator for all the fractions, which in this case is 200.

Multiplying the numerator and denominator of each fraction by the necessary factors to make the denominators equal to 200, we get 60/200, 14/200, and 1/200 for the fractions 3/10, 7/100, and 1/200, respectively.

Finally, we can add the numerators of these fractions together to get the final fractional equivalent of .375. This gives us 75/200 as the simplified fraction that represents the decimal .375.

In conclusion, the fractional equivalent of .375 is 75/200. By breaking down the decimal .375 into its fractional parts, simplifying the fractions, and combining them together, we have successfully expressed .375 as a simplified fraction. This detailed analysis demonstrates the step-by-step process of converting decimals to fractions and the importance of simplifying fractions to their lowest terms for better clarity and understanding.