Convert 15/60 to a Percentage: A Simple Calculation

Q: Why can't I just use 15 out of 60 equals 15%?

That's a common mistake! The fraction $ \frac{15}{60} $ means 15 parts out of 60 total parts, not 15%. You need to calculate what portion this represents: 15 ÷ 60 = 0.25 = 25%.

Q: Can I simplify the fraction before converting?

Absolutely! Simplifying first makes the math easier. $ \frac{15}{60} = \frac{1}{4} $ (dividing both by 15), and $ \frac{1}{4} = 0.25 = 25\% $.

Q: What if I get a repeating decimal?

That's normal! For example, $ \frac{1}{3} = 0.333... = 33.33\% $. Round to a reasonable number of decimal places or use the repeating bar notation.

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

Yes! You can multiply the fraction directly by 100: $ \frac{15}{60} \times 100 = \frac{1500}{60} = 25\% $. Both methods work perfectly!

Q: How do I remember which step comes first?

Think "Fraction → Decimal → Percent"! Always convert to decimal first (divide), then move the decimal point two places right (or multiply by 100) to get the percentage.

Fraction to Percentage with Division Method

Calculate 15 over 60 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 15 as a percentage of 60

00:04 Apply the formula for finding percentages

00:12 Divide the number by the original number and proceed to multiply by 100

00:19 Break down 100 into factors of 20 and 5

00:22 Break down 60 into factors of 20 and 3, and reduce wherever possible

00:30 Continue to reduce and to solve the problem

00:38 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

Understand the problem

Calculate 15 over 60 as a percentage:

Step-by-step solution

To solve this problem, we'll follow these steps:

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

Now, let's work through each step:

Step 1: The fraction given is $\frac{15}{60}$ . To obtain the decimal equivalent, divide 15 by 60:
$\frac{15}{60} = 0.25$

Step 2: Convert the decimal $0.25$ to a percentage by multiplying by 100:
$0.25 \times 100\% = 25\%$

Thus, $\frac{15}{60}$ as a percentage is $25\%$ .

Therefore, the solution to the problem is $25\%$ , which matches choice number 2.

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Rule: Convert fraction to decimal first, then multiply by 100
Technique: Divide numerator by denominator: 15 ÷ 60 = 0.25
Check: Verify by converting back: 25% = 0.25 = 15/60 ✓

Common Mistakes

Avoid these frequent errors

Multiplying numerator and denominator by 100
Don't multiply 15 × 100 and 60 × 100 to get 1500/6000 = 25%! This wastes time and creates confusion with large numbers. Always divide first to get the decimal, then multiply the decimal by 100.

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 can't I just use 15 out of 60 equals 15%?

That's a common mistake! The fraction $\frac{15}{60}$ means 15 parts out of 60 total parts, not 15%. You need to calculate what portion this represents: 15 ÷ 60 = 0.25 = 25%.

Can I simplify the fraction before converting?

Absolutely! Simplifying first makes the math easier. $\frac{15}{60} = \frac{1}{4}$ (dividing both by 15), and $\frac{1}{4} = 0.25 = 25\%$ .

What if I get a repeating decimal?

That's normal! For example, $\frac{1}{3} = 0.333... = 33.33\%$ . Round to a reasonable number of decimal places or use the repeating bar notation.

Is there a shortcut for converting fractions to percentages?

Yes! You can multiply the fraction directly by 100: $\frac{15}{60} \times 100 = \frac{1500}{60} = 25\%$ . Both methods work perfectly!

How do I remember which step comes first?

Think "Fraction → Decimal → Percent"! Always convert to decimal first (divide), then move the decimal point two places right (or multiply by 100) to get the percentage.

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