Question

the table shows the number of books davie has read. find the ratio of graphic novels to the total.
type \t# books
graphic novel \t10
nonfiction \t7
mystery \t5
western \t2

Explanation:

Step1: Calculate total number of books

To find the total number of books, we add the number of each type of book. So we sum \(10\) (graphic novels), \(7\) (nonfiction), \(5\) (mystery), and \(2\) (western).
The formula for the total number of books \(T\) is \(T = 10 + 7+5 + 2\).
Calculating the sum: \(10+7 = 17\), \(17 + 5=22\), \(22+2 = 24\). So the total number of books is \(24\).

Step2: Find the ratio of graphic novels to total

The number of graphic novels is \(10\) and the total number of books is \(24\). The ratio of graphic novels to total is given by \(\frac{\text{Number of Graphic Novels}}{\text{Total Number of Books}}=\frac{10}{24}\). We can simplify this fraction by dividing both the numerator and the denominator by their greatest common divisor, which is \(2\). So \(\frac{10\div2}{24\div2}=\frac{5}{12}\).

Answer:

\(\frac{5}{12}\)