What percent is equivalent to 18/40

What percent is equivalent to 18/40 ? 18% 22% 40% 45%

The Correct Answer and Explanation is:

To find what percent is equivalent to the fraction 18/40, follow these steps:

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✅ Correct Answer: 45%

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🔍 Step-by-Step Explanation:

1. Understand the meaning of percent:
   • The word percent means per hundred.
   • So, when you convert a fraction to a percent, you’re expressing it as a number out of 100.
2. Convert the fraction to a decimal: 1840=0.45\frac{18}{40} = 0.45
3. Convert the decimal to a percent:
   • Multiply the decimal by 100:
   0.45×100=45%0.45 \times 100 = 45\%

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✅ Therefore, 18/40 is equivalent to 45%.

Now let’s understand why and how this works in more depth.

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📘 Why Convert Fractions to Percents?

Fractions, decimals, and percents are all ways to express parts of a whole. Percents are particularly useful because they standardize values to be out of 100, making comparisons easier. For example, it’s easier to compare test scores, discounts, and statistics when expressed as percents.

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🧠 Alternative Method: Proportion

You can also set up a proportion to solve: 1840=x100\frac{18}{40} = \frac{x}{100}

Cross-multiply: 40x=1800⇒x=180040=4540x = 1800 \Rightarrow x = \frac{1800}{40} = 45

So, x=45%x = 45\%

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🔚 Conclusion:

Among the answer choices:

• 18% is too low
• 22% is also too low
• 40% is close but not exact
• ✅ 45% is the correct match

Thus, 18/40 = 45%, and that is the correct answer.