Convert the Fraction 37/93 into a Percentage: Step-by-Step Guide

Fraction to Percentage with Decimal Division

Calculate 37 over 93 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:04 Let's find what 37 is as a percentage of 93.
00:09 We will use a simple formula for percentages.
00:12 First, divide 37 by 93, then multiply the result by 100.
00:20 And there you have it! That's your percentage.

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 37 over 93 as a percentage:

2

Step-by-step solution

To solve this problem, we'll follow these steps:

  • Step 1: Calculate the value of the fraction.
  • Step 2: Convert the fraction to a percentage.
  • Step 3: Match the result with the correct choice from the options provided.

Now, let's work through each step:
Step 1: Calculate the fraction: 3793 \frac{37}{93} . By dividing 37 by 93, we get approximately 0.397849462.
Step 2: Convert this value to a percentage by multiplying by 100: 0.397849462×10039.7849462% 0.397849462 \times 100 \approx 39.7849462 \%.
Step 3: Round to two decimal places to match standard percentage conventions: 39.7849462% 39.7849462 \% becomes 39.78% 39.78\% .

Therefore, the solution to the problem is 39.78%.

3

Final Answer

39.78%

Key Points to Remember

Essential concepts to master this topic
  • Formula: Divide numerator by denominator, then multiply by 100
  • Calculation: 37 ÷ 93 = 0.397849... × 100 = 39.78%
  • Check: Verify 39.78% of 93 equals approximately 37 ✓

Common Mistakes

Avoid these frequent errors
  • Forgetting to multiply by 100 after division
    Don't stop at 0.3978 thinking that's your percentage = 0.3978%! This decimal form needs conversion to percentage format. Always multiply the decimal result by 100 to get the true percentage value.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

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Because percent means "per hundred"! When you divide 37 by 93, you get a decimal like 0.3978. Multiplying by 100 converts this to 39.78 parts per 100, which is what percentage means.

How many decimal places should I include in my answer?

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For percentages, two decimal places is standard (like 39.78%). This gives enough precision while keeping the answer clean and readable.

Can I use a calculator for this division?

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Absolutely! Division like 37 ÷ 93 gives long decimal results that are difficult to calculate by hand. Using a calculator ensures accuracy for the conversion.

What if my calculator shows 39.7849462%?

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Round to two decimal places for your final answer! So 39.7849462% becomes 39.78%. Look at the third decimal place (4) - since it's less than 5, round down.

How can I check if 39.78% is correct?

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Calculate backwards: 39.78%×93=0.3978×9337 39.78\% \times 93 = 0.3978 \times 93 \approx 37 . If you get close to the original numerator (37), your percentage is correct!

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