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what is 5 of 90

what is 5 of 90

less than a minute read 24-12-2024
what is 5 of 90

What is 5/90? This seemingly simple question can be answered in several ways, depending on the context. Let's explore the different interpretations and provide clarity.

Understanding Fractions: 5/90

At its most basic level, 5/90 is a fraction. Fractions represent a part of a whole. In this case, 5 represents the part and 90 represents the whole. This means we have 5 out of a possible 90 units.

Simplifying the Fraction

Fractions can often be simplified to their lowest terms. To simplify 5/90, we find the greatest common divisor (GCD) of both the numerator (5) and the denominator (90). The GCD of 5 and 90 is 5. Dividing both the numerator and the denominator by 5, we get:

5 ÷ 5 = 1 90 ÷ 5 = 18

Therefore, the simplified fraction is 1/18. This means 5/90 is equivalent to 1/18.

Converting to a Decimal

Fractions can also be expressed as decimals. To convert 1/18 to a decimal, we divide the numerator (1) by the denominator (18):

1 ÷ 18 ≈ 0.0556

So, 5/90 is approximately equal to 0.0556.

Converting to a Percentage

Finally, we can convert the fraction to a percentage by multiplying the decimal by 100:

0.0556 × 100 ≈ 5.56%

Therefore, 5/90 represents approximately 5.56%.

Real-World Examples of 5/90

Let's look at some scenarios where 5/90 might appear:

  • Test Scores: Imagine a test with 90 questions. If you answered 5 correctly, your score would be 5/90, or 5.56%.
  • Sales Targets: If a sales team had a target of 90 sales and achieved 5, their success rate would be 5/90, or 5.56%.
  • Survey Results: If 90 people were surveyed and 5 responded in a particular way, that response represents 5/90, or 5.56% of the total.

Conclusion

5/90, when simplified, is equal to 1/18. This fraction can also be represented as approximately 0.0556 or 5.56%. Understanding how to simplify fractions and convert them to decimals and percentages is a valuable skill with applications in many areas of life. Remember to always consider the context of the fraction to understand its true meaning.

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