Converting 19/60 to Percentage: Fraction Approximation Problem

Q: Why can't I just multiply 19 and 60 by 100?

That would give you $ \frac{1900}{6000} $, which is still the same fraction! To convert to percentage, you need to divide first (19 ÷ 60 = 0.3167), then multiply by 100.

Q: How do I know which answer choice to pick when approximating?

Calculate the exact decimal first: $ \frac{19}{60} = 0.3167 = 31.67\% $. Then find the closest option among the choices. Here, 33.33% is much closer than 45% or 50%.

Q: What does 'approximately' mean in this context?

It means you should find the exact percentage first, then choose the answer that's closest to your calculation. Don't guess - always do the math!

Q: Is there a shortcut to recognize common percentages?

Yes! Learn these: $ \frac{1}{3} = 33.33\% $, $ \frac{1}{4} = 25\% $, $ \frac{1}{2} = 50\% $. Notice $ \frac{19}{60} $ is close to $ \frac{1}{3} $ since $ \frac{20}{60} = \frac{1}{3} $.

Q: Why is my calculator showing 0.31666... with repeating 6s?

That's because $ \frac{19}{60} $ creates a repeating decimal! For approximation problems, you can round to 0.3167 or use 31.67% - both lead to the same answer choice.

Fraction to Percentage with Decimal Approximation

Approximately what is $\frac{19}{60}$ written as a percentage?

❤️ Continue Your Math Journey!

We have hundreds of course questions with personalized recommendations + Account 100% premium

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Convert approximately to percentages

00:03 Convert to the closest fraction we can convert to percentages

00:12 Break down 60 into factors 20 and 3

00:20 Simplify what we can

00:24 This is the simple fraction, now let's convert to percentages

00:29 Multiply the entire fraction by 100, and calculate the quotient

00:34 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Approximately what is $\frac{19}{60}$ written as a percentage?

Step-by-step solution

To solve this problem, follow these steps:

Step 1: Convert the fraction to a decimal.
Step 2: Convert the decimal to a percentage.

Now, let's work through these steps:

Step 1: Convert $\frac{19}{60}$ to a decimal.

By performing the division $19 \div 60$ , we get approximately $0.3167$ .

Step 2: Convert the decimal $0.3167$ to a percentage.

We multiply the decimal by 100 to obtain the percentage: $0.3167 \times 100 = 31.67\%$ .

Since 31.67% is the exact decimal conversion, we notice we are approximating, simplifying to the nearest common percentage form corresponding to the provided choices.

Therefore, the approximate value to the nearest common percentage based on options is 33.33\%. This matches choice option 3.

Final Answer

33.33%

Key Points to Remember

Essential concepts to master this topic

Division Method: Divide numerator by denominator to get decimal form
Conversion: Multiply decimal by 100: 0.3167 × 100 = 31.67%
Rounding Check: Compare 31.67% to choices and select 33.33% ✓

Common Mistakes

Avoid these frequent errors

Converting fraction to percentage without going through decimal
Don't try to convert $\frac{19}{60}$ directly by multiplying both numerator and denominator by random numbers = confusing calculations! This leads to wrong percentages and wasted time. Always divide first to get the decimal, then multiply by 100.

Practice Quiz

Test your knowledge with interactive questions

Approximately what is $\frac{11}{50}$ written as a percentage?

FAQ

Everything you need to know about this question

Why can't I just multiply 19 and 60 by 100?

That would give you $\frac{1900}{6000}$ , which is still the same fraction! To convert to percentage, you need to divide first (19 ÷ 60 = 0.3167), then multiply by 100.

How do I know which answer choice to pick when approximating?

Calculate the exact decimal first: $\frac{19}{60} = 0.3167 = 31.67\%$ . Then find the closest option among the choices. Here, 33.33% is much closer than 45% or 50%.

What does 'approximately' mean in this context?

It means you should find the exact percentage first, then choose the answer that's closest to your calculation. Don't guess - always do the math!

Is there a shortcut to recognize common percentages?

Yes! Learn these: $\frac{1}{3} = 33.33\%$ , $\frac{1}{4} = 25\%$ , $\frac{1}{2} = 50\%$ . Notice $\frac{19}{60}$ is close to $\frac{1}{3}$ since $\frac{20}{60} = \frac{1}{3}$ .

Why is my calculator showing 0.31666... with repeating 6s?

That's because $\frac{19}{60}$ creates a repeating decimal! For approximation problems, you can round to 0.3167 or use 31.67% - both lead to the same answer choice.

🌟 Unlock Your Math Potential

Get unlimited access to all 18 Percentage questions, detailed video solutions, and personalized progress tracking.

📹

Unlimited Video Solutions

Step-by-step explanations for every problem

📊

Progress Analytics

Track your mastery across all topics

🚫

Ad-Free Learning

Focus on math without distractions

No credit card required • Cancel anytime