College

We appreciate your visit to Select all that apply Which of the following ratios are equivalent to tex 6 8 tex A 16 to 24 B tex frac 36 40. This page offers clear insights and highlights the essential aspects of the topic. Our goal is to provide a helpful and engaging learning experience. Explore the content and find the answers you need!

Select all that apply.

Which of the following ratios are equivalent to [tex]$6:8$[/tex]?

A. 16 to 24
B. [tex]$\frac{36}{40}$[/tex]
C. [tex]$\frac{15}{20}$[/tex]
D. 12 to 16
E. 24:36
F. 9:12

Answer :

To determine which ratios are equivalent to [tex]\(6:8\)[/tex], we need to compare each given ratio with the original ratio.

1. Simplify the Original Ratio:
- The ratio [tex]\(6:8\)[/tex] simplifies to its simplest form by dividing both numbers by their greatest common divisor, which is 2:
[tex]\[
\frac{6}{8} = \frac{6 \div 2}{8 \div 2} = \frac{3}{4}
\][/tex]

2. Check Each Ratio for Equivalence:

- 16 to 24:
[tex]\[
\frac{16}{24}
\][/tex]
Simplifying by dividing both numbers by their greatest common divisor, 8:
[tex]\[
\frac{16 \div 8}{24 \div 8} = \frac{2}{3}
\][/tex]
This is not equivalent to [tex]\(3/4\)[/tex].

- [tex]\(\frac{36}{40}\)[/tex]:
Simplifying by dividing by their greatest common divisor, 4:
[tex]\[
\frac{36 \div 4}{40 \div 4} = \frac{9}{10}
\][/tex]
This is not equivalent to [tex]\(3/4\)[/tex].

- [tex]\(\frac{15}{20}\)[/tex]:
Simplifying by dividing both by their greatest common divisor, 5:
[tex]\[
\frac{15 \div 5}{20 \div 5} = \frac{3}{4}
\][/tex]
This is equivalent to [tex]\(3/4\)[/tex].

- 12 to 16:
[tex]\[
\frac{12}{16}
\][/tex]
Simplifying by dividing by their greatest common divisor, 4:
[tex]\[
\frac{12 \div 4}{16 \div 4} = \frac{3}{4}
\][/tex]
This is equivalent to [tex]\(3/4\)[/tex].

- 24 to 36:
[tex]\[
\frac{24}{36}
\][/tex]
Simplifying by dividing by their greatest common divisor, 12:
[tex]\[
\frac{24 \div 12}{36 \div 12} = \frac{2}{3}
\][/tex]
This is not equivalent to [tex]\(3/4\)[/tex].

- 9 to 12:
[tex]\[
\frac{9}{12}
\][/tex]
Simplifying by dividing by their greatest common divisor, 3:
[tex]\[
\frac{9 \div 3}{12 \div 3} = \frac{3}{4}
\][/tex]
This is equivalent to [tex]\(3/4\)[/tex].

Based on these steps, the ratios that are equivalent to [tex]\(6:8\)[/tex] are:

- [tex]\(\frac{15}{20}\)[/tex] (choice 3)
- 12 to 16 (choice 4)
- 9:12 (choice 6)

So, the equivalent ratios are choices 3, 4, and 6.

Thanks for taking the time to read Select all that apply Which of the following ratios are equivalent to tex 6 8 tex A 16 to 24 B tex frac 36 40. We hope the insights shared have been valuable and enhanced your understanding of the topic. Don�t hesitate to browse our website for more informative and engaging content!

Rewritten by : Barada