Final answer:
The rational number 0.224 can be written as the quotient of two integers in simplest form as 28/125.
Step-by-step explanation:
To write the rational number 0.224 as the quotient of two integers in simplest form, we need to follow a few steps. Since 0.224 has three decimal places, we can think of it as 224 thousandths. Therefore, the number is equivalent to 224/1000. Simplifying this fraction by dividing both numerator and denominator by the greatest common divisor, which is 8 in this case, we get 28/125. Thus, 0.224 as a fraction in simplest form is 28/125.
we need to convert it to the form of a quotient of two integers. The decimal 0.224 can be written as 224/1000 or 56/250. To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8. Therefore, the fraction equivalent of 0.224 is 7/31.