"Percents greater than 100 and less than 1" is the much required stuff to the students who study math in school level.

How can we know whether a percent is greater than 100 or less than 1?

In a fraction, when the numerator is bigger than the denominator, the percent is greater than 100%.

In a fraction, when the numerator is smaller than the denominator, the percent is either between 1% and 100 % or less than 1 %.

To make sure that the given fraction is less than 1%, better convert the given fraction into decimal and then convert into percent.

In decimal, when the given value is greater than 1, the percent is greater than 100%.

In decimal, when the given value is less than 1, the percent is either between 1% and 100% or less than 1%.

To make sure that the given decimal is less than 1%, better convert the given decimal into percent.

All mixed numbers/fractions are greater than 100%

**Example 1 : **

Classify the fraction 17 / 5 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

In the fraction 17 / 5, the numerator is greater than denominator.

So the fraction 17 / 5 is greater than 100%.

More clearly,

**In the above calculation, the fraction 17 / 5 is equal to 340% which is greater than 100%. **

Let us look at the next example on "Percents greater than 100 and less than 1"

**Example 2 : **

Classify the fraction 7 / 25 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

In the fraction 7 / 25, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 7 / 25 is not greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below.

**In the above calculation, the fraction 7 / 25 is equal to 28% which is between 1% and 100%. **

Let us look at the next example on "Percents greater than 100 and less than 1"

**Example 3 : **

Classify the fraction 3 / 8 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

In the fraction 3 / 8, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 3 / 8 is not greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below.

**In the above calculation, the fraction 3 / 8 is equal to 37.5% which is between 1% and 100%. **

Let us look at the next example on "Percents greater than 100 and less than 1"

**Example 4 : **

Classify the fraction 13 / 8 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

In the fraction 13 / 8, the numerator is greater than denominator.

So the fraction 13 / 8 is greater than 100%.

More clearly,

**In the above calculation, the fraction 13 / 8 is equal to 162.5% which is between 1% and 100%. **

Let us look at the next example on "Percents greater than 100 and less than 1"

**Example 5 : **

Classify the fraction 3 / 800 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

In the fraction 3 / 800, the numerator is less than denominator.

From the above point, all we can conclude is, the fraction 3 / 800 is greater than 100%.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given fraction into percent as given below.

**In the above calculation, the fraction 3 / 800 is equal to 0.375% which is less than 100%. **

Let us look at the next example on "Percents greater than 100 and less than 1"

**Example 6 : **

Classify the decimal 2.742 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

The value of the given decimal is greater than 1.

So, it is greater than 100%

More clearly,

**In the above calculation, the decimal 2.742 is equal to 274.2% which is greater than 100%. **

**Let us look at the next example on "Percents greater than 100 and less than 1"**

**Example 7 : **

Classify the decimal 0.2742 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below.

**In the above calculation, the decimal 0.2742 is equal to 27.42% which is between 1% and 100%. **

**Let us look at the next example on "Percents greater than 100 and less than 1"**

**Example 8 : **

Classify the decimal 0.0032 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below.

**In the above calculation, the decimal 0.0032 is equal to 0.32% which is less than 1%.**

**Let us look at the next example on "Percents greater than 100 and less than 1"**

**Example 9 : **

Classify the decimal 0.032 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below.

**In the above calculation, the decimal 0.0.032 is equal to 3.2% which is between 1% and 100%. **

**Let us look at the next example on "Percents greater than 100 and less than 1"**

**Example 10 : **

Classify the decimal 0.32 as

(A) less than 1 %

(B) greater than 100%

(C) between 1% and 100%

**Solution : **

The value of the given decimal is less than 1.

It may be either between 1% and 100% or less than 1%.

To make sure of the category, let us convert the given decimal into percent as given below.

**In the above calculation, the decimal 0.0.32 is equal to 32% which is between 1% and 100%. **

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