Calculate 7/14 as a Percentage: Simplifying Fractions

Fraction to Percentage with Simplification

Calculate 7 over 14 as a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Calculate 7 as a percentage of 14
00:05 Apply the formula to calculate percentages
00:11 Divide the number by the second number and proceed to multiply by 100
00:20 Break down into factors and reduce wherever possible
00:43 This is the solution

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Calculate 7 over 14 as a percentage:

2

Step-by-step solution

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

  • Step 1: Calculate the decimal form of the fraction 714 \frac{7}{14} .

  • Step 2: Convert the decimal to a percentage.

Now, let's work through each step:
Step 1: First, divide 7 by 14 to get the decimal form:
714=0.5 \frac{7}{14} = 0.5
Step 2: Convert the decimal to a percentage by multiplying by 100:
0.5×100=50% 0.5 \times 100 = 50\%

Therefore, 714 \frac{7}{14} expressed as a percentage is 50% 50\% .

3

Final Answer

50%

Key Points to Remember

Essential concepts to master this topic
  • Rule: Convert fractions to decimals first, then multiply by 100
  • Technique: 714=12=0.5 \frac{7}{14} = \frac{1}{2} = 0.5 before converting to percentage
  • Check: Verify 50% = 0.5 = 12 \frac{1}{2} matches original fraction ✓

Common Mistakes

Avoid these frequent errors
  • Converting without simplifying the fraction first
    Don't calculate 7 ÷ 14 = 0.5 without recognizing 714=12 \frac{7}{14} = \frac{1}{2} ! Missing this simplification makes the problem harder and increases error chances. Always simplify fractions before converting to see the pattern clearly.

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 714 \frac{7}{14} before converting to a percentage?

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Simplifying first makes the calculation easier! 714=12 \frac{7}{14} = \frac{1}{2} and you probably already know that one-half equals 50%. It's much faster than doing division.

What if I can't see how to simplify the fraction?

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Look for the greatest common factor (GCF) of the numerator and denominator. For 7 and 14, the GCF is 7. Divide both top and bottom by 7: 7÷714÷7=12 \frac{7÷7}{14÷7} = \frac{1}{2} .

Can I just multiply the fraction by 100 directly?

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Technically yes, but it's much harder! 714×100=70014 \frac{7}{14} \times 100 = \frac{700}{14} requires dividing 700 by 14. Converting to decimal first (0.5 × 100 = 50) is much simpler.

How do I know if 50% is reasonable for 714 \frac{7}{14} ?

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Use benchmark fractions! Since 714=12 \frac{7}{14} = \frac{1}{2} and half of something is always 50%, the answer makes perfect sense. Always check if your percentage seems reasonable.

What's the fastest way to convert any fraction to a percentage?

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  • Step 1: Simplify the fraction if possible
  • Step 2: Divide numerator by denominator
  • Step 3: Multiply the decimal by 100 and add the % symbol

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