Convert Fraction to Percentage: Finding the Percentage Value of 3/4

Write the fraction 34 \frac{3}{4} as a percentage

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Step-by-step video solution

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00:00 Convert fractions to percentages
00:05 We need to get a fraction with a denominator equal to 100
00:08 The percentage is equal to the numerator (X)
00:13 Apply this formula to our exercise
00:16 Multiply both the numerator and denominator by 25 to obtain a denominator equal to 100
00:26 Proceed to calculate
00:36 This is the solution

Step-by-step written solution

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1

Understand the problem

Write the fraction 34 \frac{3}{4} as a percentage

2

Step-by-step solution

To convert the fraction 34\frac{3}{4} into a percentage, we follow these steps:

  • Step 1: Identify the fraction given, which is 34\frac{3}{4}.

  • Step 2: Use the conversion formula for fractions to percentages: ab×100%\frac{a}{b} \times 100\%.

  • Step 3: Multiply the fraction by 100: 34×100%=3004%\frac{3}{4} \times 100\% = \frac{300}{4}\%.

  • Step 4: Simplify the result: 3004=75%\frac{300}{4} = 75\%.

Therefore, after multiplying and simplifying, we find that the fraction 34\frac{3}{4} is equivalent to 75% 75\% .

Reviewing the answer choices provided, the correct answer is:

  • Choice 4: 75%

Consequently, the fraction 34\frac{3}{4} expressed as a percentage is75% 75\% .

3

Final Answer

75%

Practice Quiz

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Convert the fraction into a percentage:

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

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