25:15 simplified
Understand the Problem
The question is asking how to simplify the ratio 25:15. To simplify a ratio, we need to divide both numbers by their greatest common divisor (GCD). In this case, the GCD of 25 and 15 is 5, so we will divide both numbers by 5.
Answer
The simplified ratio is $5:3$.
Answer for screen readers
The simplified ratio of 25:15 is $5:3$.
Steps to Solve
- Identify the numbers in the ratio
The ratio given is 25:15. We will simplify both numbers.
- Find the greatest common divisor (GCD)
To simplify the ratio, we need to find the GCD of 25 and 15. The factors of 25 are 1, 5, and 25, while the factors of 15 are 1, 3, 5, and 15. The largest common factor is 5.
- Divide both numbers by the GCD
Now, we divide both parts of the ratio by the GCD (5):
$$ \frac{25}{5} = 5 $$
$$ \frac{15}{5} = 3 $$
- Write the simplified ratio
Now we can write the simplified ratio as:
$$ 5:3 $$
The simplified ratio of 25:15 is $5:3$.
More Information
Simplifying ratios is a helpful skill in many areas, including cooking, finance, and any situation where you need to compare quantities.
Tips
Common mistakes include:
- Not finding the GCD correctly.
- Dividing one number without dividing the other.
To avoid these mistakes, always double-check your factors and ensure both numbers are divided by the same GCD.
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