Convert 17/20 to a Percentage: Step-by-Step Guide

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

Percent means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this "out of 100" format!

Q: Can I convert to a decimal first?

Yes! $ \frac{17}{20} = 0.85 $, then multiply by 100 to get 85%. Both methods work perfectly.

Q: How can I check if 85% is really equal to 17/20?

Convert 85% back to a fraction: $ \frac{85}{100} $. Then simplify by dividing both parts by 5: $ \frac{17}{20} $ ✓

Q: Is there a shortcut for fractions with denominator 20?

Yes! Since 20 × 5 = 100, just multiply the numerator by 5. So $ \frac{17}{20} $ becomes 17 × 5 = 85%.

Fraction to Percentage with Multiplication Method

Convert the following fraction into a percentage:

$\frac{17}{20}=\text{?}$

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert fractions to percentages

00:05 A fraction with a denominator of 100 is equal to the numerator in percentage form (X)

00:13 Determine which number to multiply the denominator by to obtain a denominator of 100

00:23 Multiply both the numerator and denominator by 5 to obtain a denominator equal to 100

00:33 Calculate as follows

00:36 Apply this formula to our exercise

00:41 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Convert the following fraction into a percentage:

$\frac{17}{20}=\text{?}$

Step-by-step solution

To solve the problem of converting $\frac{17}{20}$ to a percentage, follow these steps:

Step 1: Identify the fraction $\frac{17}{20}$ .
Step 2: Multiply the fraction by 100 to convert it into a percentage:

$\frac{17}{20} \times 100\% = \frac{1700}{20}\%$

Step 3: Perform the division:

$\frac{1700}{20} = 85$

Thus, $\frac{17}{20}$ is equivalent to 85%.

Therefore, the solution to the problem is 85%.

Final Answer

85%

Key Points to Remember

Essential concepts to master this topic

Rule: Multiply any fraction by 100 to convert to percentage
Technique: Calculate $\frac{17}{20} \times 100 = \frac{1700}{20} = 85$
Check: Verify 85% equals original fraction: $\frac{85}{100} = \frac{17}{20}$ ✓

Common Mistakes

Avoid these frequent errors

Dividing by 100 instead of multiplying
Don't divide the fraction by 100 = tiny decimal answer! This gives you 0.0085 instead of 85%. Always multiply by 100 to convert fractions to percentages.

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

$\frac{2}{100}=\text{?}$

FAQ

Everything you need to know about this question

Why do I multiply by 100 to get a percentage?

Percent means "per hundred" - so you're finding how many parts out of 100. Multiplying by 100 converts your fraction to this "out of 100" format!

Can I convert to a decimal first?

Yes! $\frac{17}{20} = 0.85$ , then multiply by 100 to get 85%. Both methods work perfectly.

What if my fraction doesn't divide evenly?

That's okay! You might get a percentage with decimals, like 33.33%. Just round appropriately based on what the problem asks for.

How can I check if 85% is really equal to 17/20?

Convert 85% back to a fraction: $\frac{85}{100}$ . Then simplify by dividing both parts by 5: $\frac{17}{20}$ ✓

Is there a shortcut for fractions with denominator 20?

Yes! Since 20 × 5 = 100, just multiply the numerator by 5. So $\frac{17}{20}$ becomes 17 × 5 = 85%.

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