Final answer:
To write the decimal 4.175 as a fraction or mixed number in simplest form, it can be expressed as 4 7/40.
Step-by-step explanation:
To write the decimal 4.175 as a fraction or mixed number in simplest form, we can first write it as a fraction by placing the decimal part over the place value of the last digit. The last digit is in the thousandths place, so we can write it as 4.175 = 4175/1000. Next, we can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor (GCD). The GCD of 4175 and 1000 is 25, so dividing both by 25, we get 4175/1000 = 167/40. Finally, we can express this improper fraction as a simplified mixed number. By dividing 167 by 40, we get a quotient of 4 and a remainder of 7. So, 167/40 in simplest form is 4 7/40.
Learn more about Converting decimals to fractions and mixed numbers