Final answer:
The ratio of girls to students in a class of 25, where there are 13 girls, can be written as the fraction 13/25. The ratio of boys to girls, with 12 boys and 13 girls, is written as the fraction 12/13. Both ratios represent fractions as they show parts of the whole class.
Step-by-step explanation:
The question posed addresses whether the ratio of girls to students and the ratio of boys to girls represent fractions in a class of 25 students, which includes 12 boys. A fraction is a number that represents a part of a whole and is written with two numbers, one above the other, separated by a line, where the top number is called the numerator and the bottom number is the denominator. A ratio can also be written as a fraction.
In this scenario, there are 25 students in total, with 12 being boys. This means there are 25 - 12 = 13 girls in the class. The ratio of girls to students can be written as 13 girls to 25 students, or as the fraction 13/25. Similarly, the ratio of boys to girls is 12 boys to 13 girls, which can be expressed as the fraction 12/13. Both scenarios represent parts of the whole class and therefore can be represented by fractions.
Fractions can be used to represent real-life scenarios like these to show the proportion of one group to another or to the whole, which can be highly useful in statistics and probability, as well as in everyday contexts like calculating percentages and proportions.