what is 45 of 90

Natashya

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22-12-2024

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This article will clearly explain how to calculate what 45 out of 90 represents, both as a fraction and as a percentage. We'll break down the process step-by-step, making it easy to understand.

Calculating the Fraction

The simplest way to represent "45 of 90" is as a fraction: 45/90. This reads as "45 out of 90."

To simplify this fraction, we find the greatest common divisor (GCD) of 45 and 90. The GCD is 45. Dividing both the numerator (top number) and the denominator (bottom number) by 45, we get:

45 ÷ 45 / 90 ÷ 45 = 1/2

Therefore, 45 out of 90 is equal to 1/2 or one-half.

Converting to a Percentage

To express this as a percentage, we convert the simplified fraction (1/2) into a decimal. We do this by dividing the numerator by the denominator:

1 ÷ 2 = 0.5

To convert a decimal to a percentage, we multiply by 100 and add a percentage sign:

0.5 x 100 = 50%

So, 45 out of 90 is equal to 50%.

Real-World Applications

Understanding fractions and percentages is crucial in many daily situations. For example:

• Grades: If you answered 45 questions correctly out of 90, you scored 50%.
• Sales: A store offering a 50% discount is essentially offering half price.
• Surveys: If 45 out of 90 people surveyed answered "yes," 50% answered affirmatively.

Different Ways to Solve the Problem

While the above method is the most straightforward, other methods can arrive at the same answer. You could also:

• Use a calculator: Simply divide 45 by 90, then multiply by 100 to get the percentage.
• Recognize common fractions: If you recognize that 45 is half of 90, you can immediately determine the fraction is 1/2 and the percentage is 50%.

No matter which method you use, the answer remains the same: 45 out of 90 is equivalent to 1/2 and 50%. Mastering these calculations helps in various aspects of life, from simple arithmetic to more complex mathematical problems.