Converting Fractions to Percentages and Vice Versa - Examples, Exercises and Solutions

We use the formula:

$\frac{x}{100}=x\%$

$\frac{87}{100}=87\%$

We use the formula:

$\frac{x}{100}=x\%$

$\frac{201}{100}=201\%$

The fraction:

$\frac{x}{100}$is actually x percent.

Therefore we use the formula:

$\frac{x}{100}=x\%$

$\frac{7}{100}=7\%$

We use the formula:

$\frac{x}{100}=x\%$

$\frac{7.5}{100}=7.5\%$

We use the formula:

$\frac{x}{100}=x\%$

Therefore:

$\frac{13.3}{100}=13.3\%$

A percentage is actually a form of fraction, or more precisely, a fraction out of a hundred.

In other words, it is a fraction where the denominator is always 100.

Therefore, in order to convert a fraction into a percentage, we multiply it so that the denominator becomes 100.

20*5=100

15*5=75

Therefore the fraction is 75/100 and the percentage is 75%.

When we have a fraction whose denominator is not 100, we will have to convert it to 100

That is:

$10\times10=100$

Now we also multiply the numerator by 10:

$\frac{3.3\times10}{10\times10}=\frac{33}{100}$

Now we use the formula:

$\frac{x}{100}=x\%$

$\frac{33}{100}=33\%$

To convert a fraction to a percentage, we must convert the denominator to 100.

In this case, we know that 4*25 = 100

Therefore, we multiply both the numerator and the denominator by 25.

3*25 = 75

4*25 = 100

We are left with 75/100, which is actually 75%

And this is the solution!

To convert a fraction to a percentage, the denominator must be converted to 100

$25\times4=100$

We also multiply the numerator by the same number, that is, 4:

$\frac{22\times4}{25\times4}=\frac{88}{100}$

Now we use the formula

$\frac{x}{100}=x\%$

$\frac{88}{100}=88\%$

Write the numbers in the form of a fraction:

$\frac{200}{50}$

Now we multiply by 100 to find out the percentage:

$\frac{200}{50}\times100=$

Keep in mind that 200 can be broken down into an exercise:

$50\times4$

That is:

$\frac{50\times4}{50}\times100=$

We simplify the two 50s in the fraction and obtain:

$4\times100=400$

In the first step, we will convert the data we have into a fraction.

64/32 

Now we will find out that the numbers are divisible by each other,

64/32 = 2

To convert an integer into a percentage, multiply it by 100.

2*100 = 200

200%

Let's write the numbers as fractions:

$\frac{36}{144}$

Now let's multiply by 100 to reveal the percentage:

$\frac{36}{144}\times100=$

Let's note that we can break down 144 into the following expression:

$36\times4$

In other words:

$\frac{36}{36\times4}\times100=$

We can simplify the two 36s in the fraction as follows:

$\frac{100}{4}=25$