The option that shows 18/8 as a mixed number and 1 7/12 as an improper fraction is the fourth option
The steps to write the improper fraction as a mixed number is as follows;
The improper fraction 18/8 can be presented as a mixed number including an integer and a fraction, by writing the number of times the numerator can be divided by the denominator, as the whole number and the remainder including the initial denominator as the numerator and denominator of the fraction part of the mixed number as follows;
18/8 = 2 2/8
The fraction part 2/8 can be simplified as 2/8 = 1/4
Therefore; 18/8 = 2 1/4
The method of expressing the mixed number 1 7/12 as an improper fraction is as follows;
The product of the denominator of the fraction part of the mixed and the whole number is added to the numerator part of the fraction part.
The result is inserted as the numerator of the improper fraction and the initial denominator of the fraction part of the mixed number remains the denominator of the improper fraction as follows;
1 7/12 = (12 × 1 + 7)/12
(12 × 1 + 7)/12 = 19/12
Therefore; 1 7/12 = 19/12