As-salamu alaykum! Just hoping to make sure you're answer and the explanations is pretty good.
To find the ratio of comic books to the total number of books in the library, you'll add up the number of comic books, game books, and history books to determine the total number of books, and then calculate the ratio.
Total number of books = Number of comic books + Number of game books + Number of history books
Total number of books = 1,300 + 1,200 + 1,000
Total number of books = 3,500
Now, you can find the ratio of comic books to the total number of books:
Ratio = Number of comic books / Total number of books
Ratio = 1,300 / 3,500
To simplify the ratio, you can divide both the numerator and denominator by their greatest common divisor, which is 100:
Ratio = (1,300 / 100) / (3,500 / 100)
Ratio = 13 / 35
So, the ratio of comic books to the total number of books in the library is 13:35.