The fractions arranged in ascending order is; 4/10, 9/20, 47/100
The steps used to find the value of the fractions and to arrange the fractions in ascending order are presented as follows;
The fractions can be expressed as decimals as follows;
47/100 = 0.47
9/20 = 0.45
4/10 = 0.4
The values of the tenth, and hundredth digits indicates that we get;
0.4 < 0.45 and 0.45 < 0.47, therefore;
0.4 < 0.45 < 0.47
Plugging in the equivalent fractions for the decimals, we get;
4/10 < 9/20 < 47/100
The fractions in ascending order is therefore; 4/10, 9/20, 47/100