Question
upstudy study bank question image url

Express the following as a ratio in its simplest form: \( \begin{array}{lllll}\text { (1) } 16 \text { to } 12 & \text { (2) } & 27 \text { to } 36 & \text { (3) } & 16 \text { to } 24 \\ \text { (4) } 35 \text { to } 25 & \text { (5) } & 18 \text { to } 15 \text { to } 24 & \text { (6) } & 100 \text { to } 10 \text { to } 10000 \\ \text { (7) } 1,2 \text { to } 0,4 & \text { (8) } & 0,32 \text { to } 0,08 & \text { (9) } & 0,1 \text { to } 0,001 \\ \text { (10) } 2.1 \text { to } 0,7 \text { to } 0,14 & \text { (11) } & 60 \mathrm{~cm} \text { to } 1.2 \mathrm{~m} & \text { (12) } & 8 \mathrm{~kg} \text { to } 800 \mathrm{~g} \text { to } 4000 \mathrm{~g} \\ \text { (13) } 48 \text { seconds to } 1 \text { minute } & & & \end{array} \)

Ask by Nichols Pierce. in South Africa
Feb 03,2025

Real Tutor Solution

Tutor-Verified Answer

Answer

Here are the simplified ratios: 1. 4:3 2. 3:4 3. 2:3 4. 7:5 5. 6:5:8 6. 10:1:1000 7. 3:1 8. 4:1 9. 100:1 10. 15:5:1 11. 1:2 12. 10:1:5 13. 4:5

Solution

Sure! Here are the simplified ratios for each of the given expressions: 1. **16 to 12** \[ 16 : 12 = 4 : 3 \] 2. **27 to 36** \[ 27 : 36 = 3 : 4 \] 3. **16 to 24** \[ 16 : 24 = 2 : 3 \] 4. **35 to 25** \[ 35 : 25 = 7 : 5 \] 5. **18 to 15 to 24** \[ 18 : 15 : 24 = 6 : 5 : 8 \] 6. **100 to 10 to 10,000** \[ 100 : 10 : 10,000 = 10 : 1 : 1,000 \] 7. **1.2 to 0.4** \[ 1.2 : 0.4 = 3 : 1 \] 8. **0.32 to 0.08** \[ 0.32 : 0.08 = 4 : 1 \] 9. **0.1 to 0.001** \[ 0.1 : 0.001 = 100 : 1 \] 10. **2.1 to 0.7 to 0.14** \[ 2.1 : 0.7 : 0.14 = 15 : 5 : 1 \] 11. **60 cm to 1.2 m** \[ 60\,\text{cm} : 1.2\,\text{m} = 60 : 120 = 1 : 2 \] 12. **8 kg to 800 g to 4,000 g** \[ 8\,\text{kg} : 800\,\text{g} : 4,000\,\text{g} = 8,000 : 800 : 4,000 = 10 : 1 : 5 \] 13. **48 seconds to 1 minute** \[ 48\,\text{seconds} : 60\,\text{seconds} = 48 : 60 = 4 : 5 \] --- **Summary of Simplified Ratios:** 1. \(4 : 3\) 2. \(3 : 4\) 3. \(2 : 3\) 4. \(7 : 5\) 5. \(6 : 5 : 8\) 6. \(10 : 1 : 1000\) 7. \(3 : 1\) 8. \(4 : 1\) 9. \(100 : 1\) 10. \(15 : 5 : 1\) 11. \(1 : 2\) 12. \(10 : 1 : 5\) 13. \(4 : 5\)

Reviewed and approved by the UpStudy tutoring team

error msg
Explain
Simplify this solution

Mind Expander

(1) The ratio \( 16 \text{ to } 12 \) can be simplified by dividing both terms by their greatest common divisor, which is 4. This gives us \( 4 \text{ to } 3 \). (2) For the ratio \( 27 \text{ to } 36 \), we can simplify by dividing both numbers by their greatest common divisor, which is 9. Therefore, it simplifies to \( 3 \text{ to } 4 \).

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