Convert 3/5 into a Percentage: Detailed Math Example

Question

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

Video Solution

Solution Steps

00:00 Convert fraction to percentages
00:03 To convert a fraction to a percentage, multiply the fraction by 100
00:17 Break down 100 into factors of 20 and 5
00:21 Reduce wherever possible
00:28 This is the solution

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%.

Answer

60%