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 30 over 100 as a percentage:

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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