what is 45 of 55

Natashya

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27-12-2024

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What is 45/55? Simplifying Fractions and Percentages

What is 45 out of 55? This seemingly simple question involves understanding fractions, simplification, and percentage calculations. Let's break it down step-by-step.

Understanding the Fraction:

The phrase "45 out of 55" can be directly represented as a fraction: 45/55. This means 45 parts out of a total of 55 parts.

Simplifying the Fraction:

Fractions can often be simplified by finding the greatest common divisor (GCD) of the numerator (45) and the denominator (55). The GCD is the largest number that divides both numbers without leaving a remainder. In this case, the GCD of 45 and 55 is 5.

To simplify, we divide both the numerator and the denominator by the GCD:

45 ÷ 5 = 9 55 ÷ 5 = 11

Therefore, the simplified fraction is 9/11. This represents the same proportion as 45/55, just in a more concise form.

Converting to a Percentage:

To express 45/55 (or its simplified form 9/11) as a percentage, we perform the division and multiply by 100:

9 ÷ 11 ≈ 0.818181...

0.818181... × 100 ≈ 81.82%

So, 45 out of 55 is approximately 81.82%. We round to two decimal places for practicality.

In Summary:

• Fraction: 45/55
• Simplified Fraction: 9/11
• Percentage: Approximately 81.82%

Understanding how to simplify fractions and convert them to percentages is a valuable skill in many areas, from everyday calculations to more complex mathematical problems. This example demonstrates a straightforward approach to solving this type of problem.