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 \\(\frac{17}{44}\\). (type an integer or a simplified fraction.)
b. the ratio of b to a is \\(\square\\). (type an integer or a simplified fraction.)

Explanation:

Step1: Recall the ratio formula

The ratio of B to A is calculated by dividing B by A. So the formula is $\frac{B}{A}$.

Step2: Substitute the values of B and A

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

Step3: Simplify the fraction

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

Answer:

$\frac{44}{17}$