Final answer:
The decimal 3.143 is converted to the fraction 3143/1000, where 3143 is the numerator and 1000 is the denominator because the last digit is in the thousandths place.
Step-by-step explanation:
To write the decimal number 3.143 in its equivalent fraction form, we first need to recognize the place value of the last digit. In this case, the last digit is in the thousandths place. So, we take the number without the decimal point and place it over 1000 (since three decimal places represent thousandths), resulting in the fraction 3143/1000.
Here are the steps to convert the decimal to a fraction:
Identify the place value of the last decimal digit - for 3.143, it's the thousandth place.
Write the number without the decimal as the numerator - 3143.
Write 1 followed by as many zeros as there are decimal places for the denominator - as there are three decimal places, we use 1000.
Write the fraction - 3143/1000.
Simplify the fraction if possible. In this case, the fraction cannot be simplified further.
The decimal 3.143 is therefore represented as 3143/1000 in fraction form.