Question

compare the following pair of numbers a and b in three ways.
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 = 170 and b = 440
a. the ratio of a to b is \\(\square\\). (type an integer or a simplified fraction.)

Explanation:

Step1: Recall the ratio formula

The ratio of \( A \) to \( B \) is given by \( \frac{A}{B} \).

Step2: Substitute the values of \( A \) and \( B \)

Given \( A = 170 \) and \( B = 440 \), we substitute these values into the formula: \( \frac{170}{440} \).

Step3: Simplify the fraction

We can simplify \( \frac{170}{440} \) by dividing both the numerator and the denominator by their greatest common divisor, which is 10. So, \( \frac{170\div10}{440\div10}=\frac{17}{44} \).

Answer:

\(\frac{17}{44}\)