Question

compare a and b in three ways, where a = 51,583 is the number of deaths due to a deadly disease in the united state
a. find the ratio of a to b.
b. find the ratio of b to a.
c. complete the sentence: a is ____ percent of b.

a. the ratio of a to b is 2.79.
(type an integer or decimal rounded to two decimal places as needed.)

b. the ratio of b to a is \\(\square\\).
(type an integer or decimal rounded to two decimal places as needed.)

Explanation:

Step1: Recall the ratio relationship

If the ratio of \( A \) to \( B \) is \( \frac{A}{B}=2.79 \), then the ratio of \( B \) to \( A \) is the reciprocal, i.e., \( \frac{B}{A}=\frac{1}{\frac{A}{B}} \).

Step2: Calculate the reciprocal

Substitute \( \frac{A}{B} = 2.79 \) into the formula: \( \frac{B}{A}=\frac{1}{2.79}\approx0.36 \) (rounded to two decimal places).

Answer:

\( 0.36 \)