Convert Fraction to Percentage: Finding the Value of 9/19

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

Because percent means "per hundred"! When you multiply by 100, you're showing how many parts out of 100. So $ \frac{9}{19} \times 100 $ tells us how many parts out of 100 this fraction represents.

Q: Can I convert fractions to percentages without a calculator?

Yes! You can do long division to find $ 9 \div 19 $, or look for patterns. Some fractions like $ \frac{1}{4} = 25\% $ are worth memorizing!

Q: What if my calculated percentage doesn't match any answer exactly?

Choose the closest answer! Small differences often come from rounding. In this case, 47.37% rounds to 47.36%, so that's your best choice.

Q: Is there a shortcut formula I should memorize?

Yes! Remember: Percentage = (Numerator ÷ Denominator) × 100. This works for any fraction-to-percentage conversion.

Fraction to Percentage with Division Method

Write the fraction $\frac{9}{19}$ 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 convert fractions into percentages. Ready?

00:09 To do this, multiply the fraction by one hundred. This changes it to a percentage.

00:16 Move the multiplication to the top number of the fraction. Almost there!

00:26 And there you go! That's the solution. Well done!

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Write the fraction $\frac{9}{19}$ as a percentage

Step-by-step solution

To solve the problem of converting the fraction $\frac{9}{19}$ to a percentage, follow these steps:

Step 1: Identify the fraction given, which is $\frac{9}{19}$ .
Step 2: Use the conversion formula $\text{Percentage} = \left(\frac{9}{19}\right) \times 100$ .
Step 3: Perform the calculation:

$\frac{9}{19} \approx 0.4737$ (rounded to four decimal places).

Step 4: Multiply by 100 to get the percentage:

$0.4737 \times 100 = 47.37 \%$

Therefore, the fraction $\frac{9}{19}$ as a percentage is approximately 47.37%.

Among the given choices, the closest correct answer is choice 2: 47.36% (rounded appropriately to two decimal places).

Final Answer

47.36%

Key Points to Remember

Essential concepts to master this topic

Conversion Rule: Multiply any fraction by 100 to get percentage
Technique: Divide first: $\frac{9}{19} = 0.4737$ , then multiply by 100
Check: Final answer should match: 47.37% ≈ 47.36% from choices ✓

Common Mistakes

Avoid these frequent errors

Forgetting to multiply by 100
Don't just divide 9 ÷ 19 = 0.4737 and call it done! This gives you the decimal form, not percentage. Always multiply the decimal by 100 to convert to percentage: 0.4737 × 100 = 47.37%.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{24}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Because percent means "per hundred"! When you multiply by 100, you're showing how many parts out of 100. So $\frac{9}{19} \times 100$ tells us how many parts out of 100 this fraction represents.

How many decimal places should I keep in my answer?

Look at your answer choices! In this problem, the closest answer is 47.36%, so round to two decimal places. Always match the precision of the given options.

Can I convert fractions to percentages without a calculator?

Yes! You can do long division to find $9 \div 19$ , or look for patterns. Some fractions like $\frac{1}{4} = 25\%$ are worth memorizing!

What if my calculated percentage doesn't match any answer exactly?

Choose the closest answer! Small differences often come from rounding. In this case, 47.37% rounds to 47.36%, so that's your best choice.

Is there a shortcut formula I should memorize?

Yes! Remember: Percentage = (Numerator ÷ Denominator) × 100. This works for any fraction-to-percentage conversion.

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