In order to convert between fractions and percentages and vice versa, it's important to remember that one percent - .
If you remember this principle, the calculations are simple.
Master fraction to percentage conversion with step-by-step practice problems. Learn to convert percentages to fractions and vice versa with guided solutions.
In order to convert between fractions and percentages and vice versa, it's important to remember that one percent - .
If you remember this principle, the calculations are simple.
In the numerator, we write the given percentage number (without the percentage sign)
and in the denominator, we always write the number .
We reduce the fraction that we obtained as much as possible in order to achieve the final answer.
We expand or reduce the fraction so that the number appears in its denominator.
We will make sure to perform the expansion/reduction operation on both the numerator and denominator to maintain the value of the fraction.
What we obtained in the numerator will be the percentage and that will be the final answer.
Important note - not every fraction can be converted to percentages (without a calculator) since not every given denominator can be converted to through expansion or reduction.
Convert the fraction \( \frac{135}{100} \) to a percentage:
Write the percentage 118% as a fraction with a denominator of 100.
To solve this problem, we'll follow a simple conversion:
Since the problem asks for the fraction with a denominator of 100, we have arrived at the correct form.
Therefore, the fraction form of 118% with a denominator of 100 is .
Answer:
Write the percentage 33% as a fraction with a denominator of 100.
To solve this problem, we will employ the following straightforward steps:
Therefore, the solution to the problem is .
Comparing with the given choices, the correct option is
Answer:
Write the percentage 54% as a fraction with a denominator of 100.
To solve the problem of converting a percentage to a fraction, follow these steps:
Therefore, the percentage 54% as a fraction with a denominator of 100 is .
Answer:
Write the percentage 66% as a fraction with a denominator of 100.
To solve the problem of converting 66% into a fraction with a denominator of 100, we follow these simple steps:
Therefore, the percentage 66% expressed as a fraction with a denominator of 100 is .
Answer:
Convert the fraction
to a percentage:
To solve this problem, follow these steps:
Now, let's work through each step:
Step 1: We see that the fraction is , where 100 is the denominator, which is the standard for percentages.
Step 2: Since percentages are essentially fractions out of 100, the numerator directly translates into the percentage.
Thus, the percentage represented by is 75%.
Therefore, the solution to the problem is 75%.
Answer:
75%