Copyright

Which ratios are equal to each other? a. 1 : 16 and 2 : 8 b. 2 : 32 and 4 : 8 c. 1 : 64 and 4...

Question:

Which ratios are equal to each other?

a. 1 : 16 and 2 : 8

b. 2 : 32 and 4 : 8

c. 1 : 64 and 4 : 16

d. 1 : 16 and 4 : 64

Ratio:

The ratio denotes the comparable values of two numerical or physical quantities. The ratio is denoted using the rational number (consisting of numerator and denominator). It shows how many times a quantity is larger or less than the other.

Answer and Explanation:


Consider the first set of ratios:-

Simplify the ratios into lowest form as,

{eq}\dfrac{1}{{16}} {/eq} and {eq}\dfrac{2}{8} = \dfrac{1}{4} {/eq}


Thus, the both ratios are not equal to each other.


Consider the second set of ratios:-

Simplify the ratios into lowest form as,

{eq}\dfrac{2}{{32}} = \dfrac{1}{{16}} {/eq} and {eq}\dfrac{4}{8} = \dfrac{1}{2} {/eq}


Thus, the both ratios are not equal to each other.


Consider the third set of ratios:-

Simplify the ratios into lowest form as,

{eq}\dfrac{1}{{64}} {/eq} and {eq}\dfrac{4}{{16}} = \dfrac{1}{4} {/eq}


Thus, the both ratios are not equal to each other.


Consider the fourth set of ratios:-

Simplify the ratios into lowest form as,

{eq}\dfrac{1}{{16}} {/eq} and {eq}\dfrac{4}{{64}} = \dfrac{1}{{16}} {/eq}


Thus, the both ratios are equal to each other.

Therefore, the option d is correct.


Learn more about this topic:

Loading...
What is Ratio in Math? - Definition & Overview

from CAHSEE Math Exam: Help and Review

Chapter 10 / Lesson 14
74K

Related to this Question

Explore our homework questions and answers library