what is 15 of 450

Natashya

2 min read

·

22-12-2024

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Finding out what 15/450 represents involves simplifying the fraction and then converting it into a more easily understood format, like a percentage or decimal. This simple calculation is useful in various contexts, from basic math problems to real-world scenarios like calculating discounts or proportions.

Simplifying the Fraction 15/450

The first step to understanding 15/450 is to simplify the fraction. This means reducing it to its lowest terms. We can do this by finding the greatest common divisor (GCD) of both the numerator (15) and the denominator (450).

The GCD of 15 and 450 is 15. Dividing both the numerator and denominator by 15, we get:

15 ÷ 15 = 1 450 ÷ 15 = 30

Therefore, the simplified fraction is 1/30.

Converting the Fraction to a Decimal

To express 1/30 as a decimal, we simply divide the numerator (1) by the denominator (30):

1 ÷ 30 = 0.03333...

This is a recurring decimal, meaning the 3 repeats infinitely. For practical purposes, we can round it to a specific number of decimal places, such as 0.033.

Converting the Fraction to a Percentage

To express 1/30 as a percentage, we multiply the decimal equivalent (0.03333...) by 100:

0.03333... × 100 ≈ 3.33%

Again, we might round this to a specific number of decimal places for practical use.

Understanding the Result

So, 15/450 simplifies to 1/30, which is approximately 0.033 or 3.33%. This means that 15 is approximately 3.33% of 450. This understanding is crucial for various applications:

• Percentage Calculations: If you have 450 items and 15 are defective, you can say that approximately 3.33% are defective.
• Proportions: If a recipe calls for 450 grams of flour and you only want to use 15 grams, you are using 1/30th of the recipe.
• Discounts: A 3.33% discount on a $450 item would be a $15 discount.

In Conclusion

Understanding how to simplify fractions and convert them to decimals and percentages is a fundamental skill. In this case, we've shown that 15 out of 450 represents a relatively small proportion – approximately 3.33%. This knowledge can be applied to solve many problems involving ratios and proportions in various fields.