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=120 and B=340
a. The ratio of A to B is .
b. The ratio of B to A is .
c. A is nothing percent of B.

Respuesta :

Answer:

a. 6:17

b. 17:6

c. A is 35.29% of B (rounded to 2 decimal place percent)


Step-by-step explanation:

Given A = 120 & B = 340


a.

The ratio of A to B is finding the fraction [tex]\frac{A}{B}[/tex] and reducing it to lowest terms and then writing the answer in "A : B" format. So,

[tex]\frac{A}{B}=\frac{120}{340}=\frac{6}{17}[/tex]

Ratio of A to B is 6:17


b.

The ratio of B to A is just the opposite of what we did in part (a). We divide B by A and reduce the fraction to lowest terms and give the final answer in the form B : A. So,

[tex]\frac{B}{A}=\frac{340}{120}=\frac{17}{6}[/tex]

Ratio of B to A is 17:6


c.

To find the percentage A is of B, we need to divide A by B and then multiply that answer by 100. Hence,

[tex]\frac{120}{340}=0.3529*100=35.29[/tex]

So A is 35.29% of B (rounded to 2 decimal place percent)