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When asked to express a decimal number such as .375 as a fraction, it may seem daunting at first. However, with a clear understanding of how decimals are related to fractions, this process can be easily simplified. In this section, we will explore the step-by-step method of converting the decimal .375 into a simplified fraction.

Understanding the Decimal Notation
To begin with, it is crucial to have a basic understanding of decimal notation. Decimals are a way of expressing fractions using a base-ten system. In the decimal number 0.375, the digit to the left of the decimal point represents whole numbers, while the digits to the right represent fractions of a whole. In this case, the digit 3 in the tenths place represents 3 tenths, and the digit 7 in the hundredths place represents 7 hundredths.

Converting Decimals to Fractions
To convert a decimal into a fraction, we must consider the place value of each digit. In the case of .375, the digit 3 is in the tenths place, the digit 7 is in the hundredths place, and the digit 5 is in the thousandths place. To express this decimal as a fraction, we can write it as 375/1000. This is because the place value of each digit determines the denominator of the fraction.

Simplifying the Fraction
Now that we have expressed .375 as the fraction 375/1000, the next step is to simplify this fraction to its lowest terms. To simplify a fraction, we need to find the greatest common divisor (GCD) of the numerator and denominator. In this case, the GCD of 375 and 1000 is 125. By dividing both the numerator and denominator by 125, we can simplify the fraction to 3/8.

Expressing .375 as a Simplified Fraction
After simplifying the fraction 375/1000 to 3/8, we have successfully expressed the decimal .375 as a simplified fraction. The numerator 3 represents the whole number part of the fraction, while the denominator 8 represents the total number of equal parts the whole is divided into. In simpler terms, this means that .375 is equivalent to 3/8 in fraction form.

Conclusion
In conclusion, expressing a decimal like .375 as a fraction can be achieved by understanding the relationship between decimals and fractions. By recognizing the place value of each digit in the decimal, converting it into a fraction, and simplifying it to its lowest terms, we can accurately represent the decimal as a fraction. In the case of .375, the simplified fraction is 3/8. This process not only helps us in simplifying decimal representations but also enhances our understanding of the fundamental concepts of decimals and fractions and for more details please click here https://www.asafraction.net/number/.375

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