Convert the Fraction 28/10 to a Percentage: A Step-by-Step Guide

Convert the fraction 2810 \frac{28}{10} into a percentage.

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Step-by-step video solution

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00:00 Convert the following fraction to a percentage
00:05 In order to convert a fraction to a percentage, the denominator needs to be 100
00:10 The percentage is the numerator (X)
00:15 We'll apply this formula to our exercise
00:20 Multiply both the numerator and denominator by 10 in order to obtain a denominator equal to 100
00:40 Proceed to calculate
00:45 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the fraction 2810 \frac{28}{10} into a percentage.

2

Step-by-step solution

To solve this problem, we follow these steps:

  • Step 1: Calculate the value of the fraction 2810 \frac{28}{10} .
  • Step 2: Convert this fraction to a percentage by multiplying by 100.

Now, let's perform these steps:
Step 1: To simplify the fraction, we compute: 2810=2.8 \frac{28}{10} = 2.8
Step 2: To convert 2.8 to a percentage, we multiply by 100: 2.8×100=280 2.8 \times 100 = 280

Therefore, the fraction 2810 \frac{28}{10} converts to 280%.

3

Final Answer

280%

Practice Quiz

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Convert the fraction into a percentage:

\( \frac{2}{100}=\text{?} \)

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