Calculating the Percentage of a Fraction: 24 Out of 86 Explained

Q: Why do I need to multiply by 100 to get a percentage?

A percentage means "per hundred" or "out of 100." When you divide 24 ÷ 86, you get a decimal (0.279). Multiplying by 100 converts this to 27.9 out of 100, which is 27.9%.

Q: Can I simplify the fraction 24/86 first?

Yes! You can simplify $ \frac{24}{86} = \frac{12}{43} $ by dividing both by 2. Then calculate $ \frac{12}{43} \times 100 $ for the same result.

Q: What if I get a slightly different decimal when dividing?

That's normal! Different calculators might show 0.2790698 or 0.279070. The small differences disappear when you round to one decimal place (27.9%).

Q: How can I check if 27.9% is correct?

Calculate 27.9% of 86: $ 0.279 \times 86 = 23.994 \approx 24 $ ✓This confirms our answer is correct!

Q: Is there a shortcut for converting fractions to percentages?

Yes! You can think of it as: Fraction × 100 = Percentage. So $ \frac{24}{86} \times 100 = 27.9\% $ in one step!

Fraction-to-Percentage Conversion with Decimal Rounding

Calculate 24 over 86 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 24 as a percentage of 86

00:04 Apply the formula to determine the percentage

00:07 Divide the number by the original number and proceed to multiply by 100

00:11 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 24 over 86 as a percentage:

Step-by-step solution

To solve this problem, we'll convert the fraction 24 over 86 into a percentage. Here's how it can be done:

Step 1: Divide the numerator by the denominator to convert the fraction into a decimal:
$\frac{24}{86} \approx 0.279069767$
Step 2: Multiply the decimal by 100 to convert it into a percentage:
$0.279069767 \times 100 \approx 27.9069767$
Step 3: Round the result to one decimal place to get the final percentage:
$\approx 27.9\%$

Therefore, the solution to the problem is 27.9%.

Final Answer

27.9%

Key Points to Remember

Essential concepts to master this topic

Rule: Divide numerator by denominator, then multiply by 100
Technique: Convert $\frac{24}{86} \approx 0.2791 \times 100 = 27.91\%$
Check: Verify 27.9% of 86 equals approximately 24 ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100 after division
Don't stop at the decimal 0.279 = wrong answer of 0.279%! This gives a percentage that's 100 times too small. Always multiply your decimal result by 100 to convert to percentage form.

Practice Quiz

Test your knowledge with interactive questions

Calculate 15% of 100:

FAQ

Everything you need to know about this question

Why do I need to multiply by 100 to get a percentage?

A percentage means "per hundred" or "out of 100." When you divide 24 ÷ 86, you get a decimal (0.279). Multiplying by 100 converts this to 27.9 out of 100, which is 27.9%.

How do I know when to round my percentage?

Look at the answer choices! In this problem, they're rounded to one decimal place, so round 27.9069767% to 27.9%. Always match the precision of your choices.

Can I simplify the fraction 24/86 first?

Yes! You can simplify $\frac{24}{86} = \frac{12}{43}$ by dividing both by 2. Then calculate $\frac{12}{43} \times 100$ for the same result.

What if I get a slightly different decimal when dividing?

That's normal! Different calculators might show 0.2790698 or 0.279070. The small differences disappear when you round to one decimal place (27.9%).

How can I check if 27.9% is correct?

Calculate 27.9% of 86: $0.279 \times 86 = 23.994 \approx 24$ ✓
This confirms our answer is correct!

Is there a shortcut for converting fractions to percentages?

Yes! You can think of it as: Fraction × 100 = Percentage. So $\frac{24}{86} \times 100 = 27.9\%$ in one step!

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