Convert Fraction 4.5/10 to Percentage: Step-by-Step Solution

Convert the fraction 4.510 \frac{4.5}{10} to a percentage:

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:00 Convert fractions to percentages
00:05 To convert a fraction to a percentage, the denominator needs to be 100
00:10 The percentage is the numerator (X)
00:15 Apply this formula to our exercise
00:20 Multiply both the numerator and denominator by 10 to obtain a denominator equal to 100
00:26 Proceed to calculate
00:41 This is the solution

Step-by-step written solution

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1

Understand the problem

Convert the fraction 4.510 \frac{4.5}{10} to a percentage:

2

Step-by-step solution

To solve this problem, we will convert the fraction 4.510 \frac{4.5}{10} into a percentage.

The method involves two main steps:

  • Step 1: Multiply the fraction by 100 to convert it to a percentage.
  • Step 2: Express the result as a percentage.

Now, let's work through each step:

Step 1: The given fraction is 4.510 \frac{4.5}{10} . We use the formula for percentage conversion: Percentage=4.510×100%\text{Percentage} = \frac{4.5}{10} \times 100\% .

Step 2: Calculating, 4.510×100=45\frac{4.5}{10} \times 100 = 45.

Therefore, the percentage equivalent of 4.510 \frac{4.5}{10} is 45%.

Based on the given multiple-choice options, the correct answer is: 45%.

3

Final Answer

45%

Practice Quiz

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Convert the fraction into a percentage:

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

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