24:32 simplified
Understand the Problem
The question is asking us to simplify the ratio 24:32. This involves finding the greatest common divisor (GCD) of the two numbers and dividing both by that number to express the ratio in its simplest form.
Answer
3:4
Answer for screen readers
The ratio of 24:32 simplified is 3:4
Steps to Solve
- Find the greatest common divisor (GCD)
The greatest common divisor of 24 and 32 is the largest number that divides both of them without leaving a remainder. We find that the GCD is 8.
- Divide both numbers by the GCD
To simplify the ratio, divide both 24 and 32 by the GCD (which is 8):
$$ \frac{24}{8} = 3 $$
$$ \frac{32}{8} = 4 $$
- Express the simplified ratio
Now that we've divided both numbers by the GCD, we get the simplified ratio:
The ratio of 24:32 simplified is 3:4
The ratio of 24:32 simplified is 3:4
More Information
Ratios can help compare quantities and are often used in various fields such as cooking, construction, and finance. Simplifying a ratio makes it easier to understand and work with.
Tips
A common mistake is not finding the greatest common divisor correctly. Ensure you verify the GCD by checking it divides both numbers without leaving a remainder.
AI-generated content may contain errors. Please verify critical information
