A decimal is a number that is expressed using the decimal point to separate the integer part of the number from the fractional part. A decimal number can be expressed as a fraction by using place value, where each digit after the decimal point represents a power of ten.

Determine the place value of the last digit of the decimal. Write the decimal as a fraction with the place value of the last digit as the denominator, Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF). 

To convert a decimal to a fraction, write the decimal as a fraction with the place value of the last digit as the denominator, and simplify the fraction by dividing both the numerator and denominator by their greatest common factor.

To represent the decimal number 0.1875 as a fraction, we can follow the steps given below:

Step 1: Write down the decimal number 0.1875.

Step 2: The decimal has four decimal places, so the denominator of the fraction will be 10,000 (since 10,000 is 10 raised to the power of 4).

Step 3: Write the digits of the decimal number 0.1875 without the decimal point as the numerator. This gives us the numerator as 1875.

Step 4: Write down the denominator as 10,000.

Step 5: Simplify the fraction by dividing both the numerator and denominator by their greatest common factor (GCF), which is 125. This gives us:

1875 ÷ 125 = 15

10,000 ÷ 125 = 80

So the simplified fraction for 0.1875 is 15/80.

Therefore, 0.1875 as a fraction is 15/80.

In conclusion, decimals can be converted into fractions by using place value and expressing the decimal as a fraction with the place value of the last digit as the denominator. To simplify the fraction, divide both the numerator and denominator by their greatest common factor (GCF).

Converting decimals to fractions is important in many areas of mathematics and science, including algebra, geometry, and physics. Being able to convert between decimals and fractions allows for easier comparison of values and simplification of calculations.

Overall, understanding how to convert decimals to fractions can be a useful skill in various contexts, and can help deepen one's understanding of the relationships between different types of numbers.