Question
\begin{tabular}{|l|l|}\hline & \\ \hline & \\ \hline Vraag 2 \\ \hline 2.1 & Vereenvoudig die volgende verhoudings: \\ \hline 2.1 .1 & \( 20: 36 \) \\ \hline & \\ \hline & \\ \hline\end{tabular}
Ask by Parry Murray. in South Africa
Mar 16,2025
Upstudy AI Solution
Tutor-Verified Answer
Answer
The simplified ratio of \( 20:36 \) is \( 5:9 \).
Solution
To simplify the ratio \( 20:36 \), we can follow these steps:
1. **Find the Greatest Common Divisor (GCD)** of the two numbers (20 and 36).
2. **Divide both numbers** by the GCD to simplify the ratio.
Let's start by finding the GCD of 20 and 36.
- The factors of 20 are: \( 1, 2, 4, 5, 10, 20 \)
- The factors of 36 are: \( 1, 2, 3, 4, 6, 9, 12, 18, 36 \)
The common factors are \( 1, 2, 4 \), and the greatest of these is \( 4 \).
Now, we can divide both numbers by their GCD:
\[
\frac{20}{4} : \frac{36}{4} = 5 : 9
\]
Thus, the simplified ratio of \( 20:36 \) is \( 5:9 \).
Answered by UpStudy AI and reviewed by a Professional Tutor
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Simplify this solution Bonus Knowledge
Om die verhouding \( 20:36 \) te vereenvoudig, kan jy beide syfers deur hul grootste gemeenskaplike deler (GGD) deel. In hierdie geval, die GGD van 20 en 36 is 4. Wanneer jy beide syfers deur 4 deel, kry jy \( \frac{20 \div 4}{36 \div 4} = \frac{5}{9} \). So die vereenvoudigde verhouding is \( 5:9 \). Verhoudings kan in verskeie praktiese toepassings gebruik word, soos in resepte of projekbestuur. As jy 'n resep het wat 20 eenhede van een bestanddeel en 36 van 'n ander benodig, kan jy die vereenvoudigde verhouding gebruik om aan te dui hoeveel jy van elke bestanddeel benodig vir kleiner of groter hoeveelhede. Dit maak kook en bak makliker!
