what is 18 of 90

2 min read 22-12-2024

So, you want to know what 18 out of 90 is? This is a simple fraction that can be expressed in several ways – as a simplified fraction, a decimal, and a percentage. Let's break it down step-by-step.

Simplifying the Fraction 18/90

The fraction 18/90 represents 18 parts out of a total of 90 parts. To simplify this fraction, we need to find the greatest common divisor (GCD) of both 18 and 90. The GCD is the largest number that divides both numbers evenly.

In this case, the GCD of 18 and 90 is 18. We can divide both the numerator (18) and the denominator (90) by 18:

18 ÷ 18 = 1 90 ÷ 18 = 5

Therefore, the simplified fraction is 1/5.

Converting the Fraction to a Decimal

To convert the simplified fraction 1/5 to a decimal, we simply divide the numerator (1) by the denominator (5):

1 ÷ 5 = 0.2

So, 18/90 is equal to 0.2 as a decimal.

Expressing it as a Percentage

To express the fraction as a percentage, we can take the decimal (0.2) and multiply it by 100:

0.2 x 100 = 20%

Therefore, 18 out of 90 is 20%.

Real-World Applications: Understanding Proportions

Understanding fractions and percentages is crucial in many everyday situations. Imagine you scored 18 out of 90 on a test. Knowing that this is equivalent to 20% helps you understand your performance relative to the total possible score. Similarly, this understanding is vital in calculating discounts, analyzing statistics, or figuring out proportions in cooking or construction.

Other Ways to Solve 18/90

While finding the GCD is the most efficient method for simplifying fractions, you could also simplify step-by-step. For example, you could notice that both 18 and 90 are divisible by 2:

18/90 = 9/45

Then, you could notice that both 9 and 45 are divisible by 9:

9/45 = 1/5

This method achieves the same result, but it might take a few more steps.

Conclusion: 18/90 Explained

In summary, 18 out of 90 can be expressed as:

The simplified fraction: 1/5
The decimal: 0.2
The percentage: 20%

Understanding how to simplify fractions, convert them to decimals and percentages is a valuable mathematical skill with applications in numerous fields. Hopefully, this explanation clarifies the different ways to represent 18/90 and their practical implications.