What is 39/50 in a percent

What is 39/50 in a percent

The Correct Answer and Explanation is:

To convert the fraction 39/50 into a percentage, we follow these steps:

Step 1: Understand the process of conversion

A percentage is simply a fraction expressed out of 100. To convert a fraction into a percentage, multiply the fraction by 100.

Step 2: Set up the calculation

The given fraction is 39/50. To convert it to a percentage:

[
\text{Percentage} = \left( \frac{39}{50} \right) \times 100
]

Step 3: Perform the division

First, divide 39 by 50:

[
39 \div 50 = 0.78
]

Step 4: Multiply by 100

Now, multiply the result by 100 to get the percentage:

[
0.78 \times 100 = 78
]

Thus, 39/50 is equal to 78%.

Step 5: Explanation of the process

To further clarify, let’s break down why this works. A fraction, such as 39/50, represents the ratio of 39 parts out of 50. To express this ratio as a percentage, we want to know how many parts out of 100 the fraction represents. By multiplying the fraction by 100, we scale it to a 100-based system, which is how percentages are measured.

In this case, we took 39 out of 50 and divided it to get a decimal value of 0.78, which means that 39 is 78% of 50. This decimal result of 0.78 directly translates to 78%, which is simply the fraction expressed as parts per hundred.

Conclusion:

Therefore, 39/50 is 78%. Understanding this conversion is essential in various fields like mathematics, statistics, finance, and everyday life, where converting between fractions, decimals, and percentages is frequently required.