**Introduction:**

**Percent greater than 100 or less than 1:**** **

100% is equal to 100 out of 100, or 1. Percents greater than 100% are fractions (or decimals). Generally, percent greater than 100% is an improper fraction in types of fractions, while percents less than 100% are proper fractions (or decimals) less than 1.

**Expressing Percents as Decimals:**

To convert a percent into a decimal, move the decimal point 2 places to the left and drop the percent sign.

155% becomes 1.55.

If the number in front of the percent has fewer than two places in front of the decimal, add zeros to the left of the number, and then move the decimal place.

1.98% = 01.98% = 0.0198.

**Expressing Decimals as Percents:**

To convert a decimal into a percent, move the decimal point two places to the right and add the % sign.

If there are fewer than two places to the right of the decimal, add zeros at the end of the number after the decimal point.

For example,

- 0.986 = 98.6%

- 1.8 = 1.80 = 180%.

**Represent Percent Greater than 100 or Less than 1**

**Example1: **The Length of the ribbon is 120% compare to the old ribbon. Write 120% as a fraction.

**Example:** You want to see a movie. The cost of admission to a movie is 1 7/8 times of renting a video. Write the fraction into a decimal.

**Solution: We have, **

Steps1: Use the definition of percent

Step 2: Move the decimal point two places to the right.

**Example:**** **Classify the decimal 0.065 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.

= 0.065

=(0.065× 100)%

=6.5%

In the above calculation, the decimal is 6.5% which is between 1% to 100%.

**Convert each percent as a decimal.**

- 380%

- 300%

- 150%

- 440%

- 355%

- 452%

**Concept Map:**

- All mixed numbers/fractions are greater than 100%.
- In the fraction 13/8 the numerator is greater than denominator.

- So the fraction 13/8 is greater than 100%.
- When the value of given decimal is greater than 1, then the conversion of decimal number to percent is always greater than 100%.
- A proper fraction represents a percent less than 100%.

### What have we learned:

• Percent greater than 100 or less than 1.

• Use a model to represent a part that is greater than 100 or less than 1.

• Represent percent more than 100 as a fraction.

• Represent percent more than 100 as a decimal.

#### Related topics

#### Addition and Multiplication Using Counters & Bar-Diagrams

Introduction: We can find the solution to the word problem by solving it. Here, in this topic, we can use 3 methods to find the solution. 1. Add using counters 2. Use factors to get the product 3. Write equations to find the unknown. Addition Equation: 8+8+8 =? Multiplication equation: 3×8=? Example 1: Andrew has […]

Read More >>#### Dilation: Definitions, Characteristics, and Similarities

Understanding Dilation A dilation is a transformation that produces an image that is of the same shape and different sizes. Dilation that creates a larger image is called enlargement. Describing Dilation Dilation of Scale Factor 2 The following figure undergoes a dilation with a scale factor of 2 giving an image A’ (2, 4), B’ […]

Read More >>#### How to Write and Interpret Numerical Expressions?

Write numerical expressions What is the Meaning of Numerical Expression? A numerical expression is a combination of numbers and integers using basic operations such as addition, subtraction, multiplication, or division. The word PEMDAS stands for: P → Parentheses E → Exponents M → Multiplication D → Division A → Addition S → Subtraction Some examples […]

Read More >>#### System of Linear Inequalities and Equations

Introduction: Systems of Linear Inequalities: A system of linear inequalities is a set of two or more linear inequalities in the same variables. The following example illustrates this, y < x + 2…………..Inequality 1 y ≥ 2x − 1…………Inequality 2 Solution of a System of Linear Inequalities: A solution of a system of linear inequalities […]

Read More >>
Comments: