simplify 11:22
Understand the Problem
The question is asking to simplify the ratio 11:22. To do this, we will find the greatest common divisor of the numbers and divide both sides of the ratio by that value.
Answer
The simplified ratio is \( 1:2 \).
Answer for screen readers
The simplified ratio of ( 11:22 ) is ( 1:2 ).
Steps to Solve
- Identify the ratio components
The ratio ( 11:22 ) consists of two numbers: 11 and 22.
- Calculate the greatest common divisor (GCD)
The GCD of 11 and 22 is the largest number that divides both. Since 11 is a prime number, its only divisors are 1 and 11. Thus, the GCD is 11.
- Divide both parts of the ratio by the GCD
Now, we divide both the numerator and the denominator by 11:
$$ \frac{11}{11} : \frac{22}{11} $$
This simplifies to:
$$ 1 : 2 $$
- Final simplified ratio
The final simplified ratio is ( 1:2 ).
The simplified ratio of ( 11:22 ) is ( 1:2 ).
More Information
In ratios, simplifying helps to express the relationship between two numbers in its simplest form. The concept of GCD is commonly used in various mathematical calculations, making it an important tool.
Tips
- Confusing the components of the ratio or reversing them when simplifying.
- Failing to find the GCD correctly, resulting in an incorrect simplified ratio.
