45:30 in simplest form
Understand the Problem
The question is asking for the ratio 45:30 to be simplified to its simplest form. This means we need to find the greatest common divisor (GCD) of both numbers and divide them by that number.
Answer
The simplified ratio of $45:30$ is $3:2$.
Answer for screen readers
The simplified ratio of $45:30$ is $3:2$.
Steps to Solve
- Find the GCD of 45 and 30
To simplify the ratio $45:30$, we first need to find the greatest common divisor (GCD) of the two numbers. The GCD of 45 and 30 is 15.
- Divide both numbers by the GCD
Now, we divide both numbers by their GCD to simplify the ratio:
[ \frac{45}{15} = 3 ]
[ \frac{30}{15} = 2 ]
- Write the simplified ratio
After dividing both numbers by the GCD, we can write the simplified ratio:
The simplified form of the ratio $45:30$ is $3:2$.
The simplified ratio of $45:30$ is $3:2$.
More Information
Simplifying ratios helps in comparing two quantities efficiently. Understanding how to find the GCD can also be useful in various areas of math, including fractions and proportion.
Tips
- One common mistake is forgetting to find the GCD before dividing the numbers. Always ensure you find the GCD first to avoid incorrect simplification.
