Final answer:
Jeremiah's batting average, 0.312, can be written as the fraction 39/125 in lowest terms. The number 9.524 can be rewritten as the mixed number 9 131/250 in lowest terms.
Step-by-step explanation:
Jeremiah's batting average is 0.312 which can be expressed as a fraction by placing the digits over the respective place value as the denominator (312 over 1000). To express it in lowest terms, we need to divide the numerator and denominator by their greatest common divisor, which is 8 in this case.
Thus, the lowest term fraction of Jeremiah's batting average is 39/125.
To rewrite 9.524 as a mixed number, you separate the whole number from the decimal part, making it 9 and 0.524. The decimal 0.524 can be expressed as a fraction with a denominator of 1000, which is 524/1000. Again, find the greatest common divisor to reduce the fraction to its lowest terms, which for 524/1000 is 4, giving us 131/250. Therefore, the mixed number in its lowest terms is 9 131/250.