Convert 3/5 into a Percentage: Detailed Math Example

Given the fraction 35 \frac{3}{5} convert the fraction into percentages.

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Step-by-step video solution

Watch the teacher solve the problem with clear explanations
00:06 Let's learn how to convert fractions into percentages.
00:10 First, multiply the fraction by one hundred. This will change it into a percentage.
00:23 Break down one hundred into factors of twenty and five. This makes multiplication easier.
00:30 Be sure to simplify wherever possible. This helps to make your final answer neat.
00:36 And there you have it! That's the solution.

Step-by-step written solution

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1

Understand the problem

Given the fraction 35 \frac{3}{5} convert the fraction into percentages.

2

Step-by-step solution

To solve this problem, follow these steps:

  • Step 1: Interpret the fraction 35\frac{3}{5} as a ratio.
  • Step 2: Convert this fraction to percentage by applying the conversion formula.
  • Step 3: Multiply 35\frac{3}{5} by 100 to find the percentage.

Now, let's execute the solution:

Step 1: Identify the fraction: 35\frac{3}{5}.

Step 2: Use the formula to convert to percentage:

Percentage=(35)×100%. \text{Percentage} = \left(\frac{3}{5}\right) \times 100\%.

Step 3: Calculate the percentage:

=3×1005 = \frac{3 \times 100}{5} =3005 = \frac{300}{5} =60% = 60\%

Thus, the fraction 35\frac{3}{5} is equivalent to 60%.

The correct option from the choices provided is choice 3: 60%.

3

Final Answer

60%

Practice Quiz

Test your knowledge with interactive questions

Convert the fraction into a percentage:

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

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