Convert Fraction to Percentage: Calculating 14/56 as a Percent

Q: Why should I simplify 14/56 before converting to a percentage?

Simplifying makes the calculation much easier! $ \frac{14}{56} = \frac{1}{4} $ is simpler to work with than the original fraction, and $ \frac{1}{4} \times 100 = 25\% $ is straightforward.

Q: How do I find the greatest common divisor of 14 and 56?

List the factors: 14 = 2×7, and 56 = 8×7. The largest number that divides both is 14. You can also use the fact that 56 = 4×14, so 14 divides evenly into both numbers.

Q: Can I just divide 14 by 56 on a calculator instead?

Yes, but it's good practice to simplify first! Calculator gives 14÷56 = 0.25, then 0.25×100 = 25%. However, working with $ \frac{1}{4} $ helps you understand the relationship better.

Q: What if the fraction doesn't simplify to a nice number?

That's okay! Some fractions like $ \frac{1}{3} $ give repeating decimals (33.33...%). You can either use the exact fraction or round to a reasonable number of decimal places.

Q: How can I quickly recognize that 14/56 equals 1/4?

Look for patterns! Notice that 56 = 4×14, so $ \frac{14}{56} = \frac{14}{4 \times 14} = \frac{1}{4} $. The 14s cancel out immediately!

Step-by-step video solution

Watch the teacher solve the problem with clear explanations

00:00 Calculate 2 as a percentage of 10

00:03 Apply the formula to calculate percentages

00:10 Divide the number by the second number and proceed to multiply by 100

00:23 Break down into factors and reduce wherever possible

00:34 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution

1

Understand the problem

Calculate 14 over 56 as a percentage:

2

Step-by-step solution

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

Step 1: Set up the fraction $\frac{14}{56}$ .
Step 2: Simplify the fraction if necessary, and compute $\frac{14}{56}$ .
Step 3: Convert this result to a percentage by multiplying by 100.

Now, let's work through each step:

Step 1: The problem gives us the fraction $\frac{14}{56}$ .

Step 2: Simplifying the fraction $\frac{14}{56}$ , we find $\frac{14}{56} = \frac{1}{4}$ because both the numerator and denominator can be divided by 14.

Step 3: To convert $\frac{1}{4}$ into a percentage, multiply by 100: $\frac{1}{4} \times 100 = 25\%$

Therefore, 14 is 25% of 56.

The solution to the problem is 25%, which corresponds to choice number 2.

3

Final Answer

25%

Key Points to Remember

Essential concepts to master this topic

Rule: Simplify the fraction first before converting to percentage
Technique: Divide both numerator and denominator by GCD: 14÷14 = 1, 56÷14 = 4
Check: Verify $\frac{1}{4} \times 100 = 25\%$ equals your answer ✓

Common Mistakes

Avoid these frequent errors

Converting without simplifying the fraction first
Don't calculate 14÷56×100 directly = messy decimals and calculation errors! This makes the problem unnecessarily complex and increases chances of mistakes. Always simplify the fraction to lowest terms first, then multiply 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 should I simplify 14/56 before converting to a percentage?

+

Simplifying makes the calculation much easier! $\frac{14}{56} = \frac{1}{4}$ is simpler to work with than the original fraction, and $\frac{1}{4} \times 100 = 25\%$ is straightforward.

How do I find the greatest common divisor of 14 and 56?

+

List the factors: 14 = 2×7, and 56 = 8×7. The largest number that divides both is 14. You can also use the fact that 56 = 4×14, so 14 divides evenly into both numbers.

Can I just divide 14 by 56 on a calculator instead?

+

Yes, but it's good practice to simplify first! Calculator gives 14÷56 = 0.25, then 0.25×100 = 25%. However, working with $\frac{1}{4}$ helps you understand the relationship better.

What if the fraction doesn't simplify to a nice number?

+

That's okay! Some fractions like $\frac{1}{3}$ give repeating decimals (33.33...%). You can either use the exact fraction or round to a reasonable number of decimal places.

How can I quickly recognize that 14/56 equals 1/4?

+

Look for patterns! Notice that 56 = 4×14, so $\frac{14}{56} = \frac{14}{4 \times 14} = \frac{1}{4}$ . The 14s cancel out immediately!

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Convert Fraction to Percentage: Calculating 14/56 as a Percent

Fraction to Percentage with Simplification

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