Question

Direction: Carefully read each statement below. Choose the letter that corresponds to the best answer. Write the chosen letter on a separate sheet of paper. 2. which ratio is expression in the simplest formA. 6:9B 10:24 C. 4:36D. 8:153. at xyz factory 18 employees work in the office while others work in the warehouse if there are a total of 48 employees in the factory what is the simplest from radio of employees to work in the office to the employees who work in the warehouseA. 3:5 B. 5:3 C. 3:8 D. 8:34. IF BOTH NUMBERS IN THE RAT YOU ARE RELATIVELY PRIME THEN THE RAT IS SAID TO BEA. EQUIVALENT B. EVEN C. IN SIMPLEST FORM D. ODD5. WHAT IS THE GREATEST COMMON FACTOR OF 36 AND 54 A. 6 B. 12C. 18D. 24

Answer 1

Given:

A) 6:9

$6\colon9=\frac{6}{9}=\frac{3\cdot2}{3\cdot3}=\frac{2}{3}=2\colon3$

It shows that the simplest form of 6:9 is 2:3.

B) 10:24

$\frac{10}{24}=\frac{5\cdot2}{2\cdot12}=\frac{5}{12}=5\colon12$

It shows that the simplest form of 10:24 is 5:12.

C) 4:36

$4\colon36=\frac{4}{36}=\frac{1\cdot4}{4\cdot9}=\frac{1}{9}=1\colon9$

It shows that the simplest form of 4:36 is 1:9.

D) 8:15

$8\colon15=\frac{8}{15}$

It implies that the ratio of 8:15 is in the simplest form.

Answer: D) 8:15