Convert Fraction to Percentage: Finding 14/5 as a Percent

Fraction-to-Percentage Conversion with Improper Fractions

Approximately what is 145 \frac{14}{5} as a percentage?

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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 change to percentages
00:12 Calculate the quotient
00:16 Multiply by 100 to convert to percentages
00:21 And this is the solution to the question

Step-by-step written solution

Follow each step carefully to understand the complete solution
1

Understand the problem

Approximately what is 145 \frac{14}{5} as a percentage?

2

Step-by-step solution

We are looking for the closest fraction to be able to divide the numerator by the denominator:

155=3 \frac{15}{5}=3

Convert the fraction into percentage:

3×100=300 3\times100=300

300% 300\%

3

Final Answer

300%

Key Points to Remember

Essential concepts to master this topic
  • Method: Divide numerator by denominator, then multiply by 100
  • Technique: 145=2.8×100=280% \frac{14}{5} = 2.8 \times 100 = 280\%
  • Check: Convert back: 280% ÷ 100 = 2.8 = 145 \frac{14}{5}

Common Mistakes

Avoid these frequent errors
  • Converting improper fractions incorrectly
    Don't assume 145 \frac{14}{5} is close to 155 \frac{15}{5} without calculating = 300% instead of 280%! This approximation method can lead to significantly wrong answers. Always divide the actual numerator by denominator first: 14 ÷ 5 = 2.8, then multiply by 100.

Practice Quiz

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

FAQ

Everything you need to know about this question

Why is 145 \frac{14}{5} more than 100%?

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Because 145 \frac{14}{5} is an improper fraction where the numerator (14) is larger than the denominator (5). This means the fraction equals more than 1 whole, so the percentage will be greater than 100%!

Can I use the approximation method shown in the explanation?

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Be careful! The explanation uses 155 \frac{15}{5} as an approximation, but this gives 300% instead of the exact 280%. For precise answers, always calculate 14 ÷ 5 = 2.8 first.

How do I convert any fraction to a percentage?

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Follow these steps: (1) Divide the numerator by the denominator, (2) Multiply the result by 100, (3) Add the % symbol. For example: 34=0.75×100=75% \frac{3}{4} = 0.75 \times 100 = 75\%

What if I get a decimal when dividing?

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That's normal! 145=2.8 \frac{14}{5} = 2.8 gives a decimal. Just multiply by 100 as usual: 2.8 × 100 = 280%. Don't round until the very end if needed.

Is 280% the same as saying 'two and four-fifths times as much'?

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Yes! 280% means 2.8 times the original amount. Since 145=245 \frac{14}{5} = 2\frac{4}{5} in mixed number form, this represents 2.8 or '2 and 4/5 times' something.

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