Convert 3/5 into a Percentage: Detailed Math Example

Question

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

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.

To solve this problem, follow these steps:

Now, let's execute the solution:

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

Step 2: Use the formula to convert to percentage:

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

Step 3: Calculate the percentage:

= \frac{3 \times 100}{5}

= \frac{300}{5}

= 60\%

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

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

60%