Question
upstudy study bank question image url

7. The following are equivalent to \( \frac{10}{12} \) except: a. \( 5: 6 \) b. \( 100: 120 \) c. \( 6: 5 \) d. Ratio of .1 to .12

Ask by Vaughn Floyd. in the United States
Mar 18,2025

Upstudy AI Solution

Tutor-Verified Answer

Answer

Option c, \( 6:5 \), is not equivalent to \( \frac{10}{12} \).

Solution

To determine which of the options is not equivalent to \( \frac{10}{12} \), we first simplify \( \frac{10}{12} \): 1. Simplify \( \frac{10}{12} \): \[ \frac{10}{12} = \frac{5}{6} \] Now, we will check each option to see if it is equivalent to \( \frac{5}{6} \). ### Option a: \( 5:6 \) This ratio can be expressed as: \[ \frac{5}{6} \] This is equivalent to \( \frac{10}{12} \). ### Option b: \( 100:120 \) This ratio can be expressed as: \[ \frac{100}{120} \] Now, simplify \( \frac{100}{120} \): \[ \frac{100 \div 20}{120 \div 20} = \frac{5}{6} \] This is also equivalent to \( \frac{10}{12} \). ### Option c: \( 6:5 \) This ratio can be expressed as: \[ \frac{6}{5} \] This is not equivalent to \( \frac{5}{6} \). ### Option d: Ratio of 0.1 to 0.12 This ratio can be expressed as: \[ \frac{0.1}{0.12} \] To simplify, we can multiply the numerator and denominator by 100: \[ \frac{10}{12} = \frac{5}{6} \] This is equivalent to \( \frac{10}{12} \). ### Conclusion The only option that is not equivalent to \( \frac{10}{12} \) is: **c. \( 6:5 \)**.

Answered by UpStudy AI and reviewed by a Professional Tutor

error msg
Explain
Simplify this solution

The Deep Dive

To determine the option that is not equivalent to \( \frac{10}{12} \), we can simplify \( \frac{10}{12} \) to \( \frac{5}{6} \). The ratio \( 5:6 \) is equivalent, as well as \( 100:120 \) (which is also \( \frac{5}{6} \) simplified). However, \( 6:5 \) is the inverse of \( \frac{5}{6} \) and not equivalent. The ratio of \( 0.1 \) to \( 0.12 \) simplifies to \( \frac{10}{12} \) when expressed as a fraction. Thus, the answer is **c. \( 6: 5 \)**.

Try Premium now!
Try Premium and ask Thoth AI unlimited math questions now!
Maybe later Go Premium
Study can be a real struggle
Why not UpStudy it?
Select your plan below
Premium

You can enjoy

Start now
  • Step-by-step explanations
  • 24/7 expert live tutors
  • Unlimited number of questions
  • No interruptions
  • Full access to Answer and Solution
  • Full Access to PDF Chat, UpStudy Chat, Browsing Chat
Basic

Totally free but limited

  • Limited Solution
Welcome to UpStudy!
Please sign in to continue the Thoth AI Chat journey
Continue with Email
Or continue with
By clicking “Sign in”, you agree to our Terms of Use & Privacy Policy