A percentage is an equation that makes two fractions equal. A proportion is the term used to describe a declaration that two ratios are equal. When two ratios are identical, their cross products are equal as well. For example, if there are 15 males in a class and 10 females, then the proportion of males to females is 0.5:0.5 or 50%:50%.

Fractions are parts of **a whole number**. If you divide 100 into 2 pieces, they are 50 percent each. Fractions can be expressed as decimal numbers (such as 0.4) or as simple ratios (such as 3 to 4). There are several ways to combine fractions to create new fractions; for example, if I have 0.3 book and 0.7 book, I can make a fraction out of it by dividing the total number of books (10) by the sum of the fractions (10/0.3 + 10/0.7 = 10/0.7 or 14%). Fractions can also be reduced using rules such as those listed below.

Reduce. Reduce fractions by dividing both the numerator and denominator by **the same number**. For example, if you were given the fraction 12/5 and were asked to reduce it, you would divide both the numerator and denominator by 5 and end up with 2 out of **5 books**.

A fraction is a component of **a whole number**. It is made up of **two parts**: a numerator and a denominator. Splitting a number into fractions Dividing a fraction by another fraction is equivalent to multiplying the fraction by its reciprocal (inverse). Therefore, dividing one fraction by another means that product should be divided into the units of the first factor.

For example, if you were to divide 30/7, you would get 4. When you multiply 7 x 1.42857, it returns back to 30 again. Dividing fractions means taking the reciprocal of the product which in this case is 1/4. 25% of your total inventory is used up each month. If **your inventory** lasts for four months, then 100% of your inventory will be consumed during these four months.

Fractions can also be divided by integers. For example, if you had a quantity that was divisible by 2 and 5, it could be split into two equal parts. One part would be doubled and the other half would be left over. 0.5 is always treated as a fraction because it is not possible to divide by zero. Therefore, it cannot be split into two equal parts. Fractions can also be divided by numbers other than integers. For example, if a quantity was divisible by 3 but not 2 or 4, it could be split into three equal parts.

Fractions that refer to the same region, component of a set, or segment. To find the product, multiply the numbers together. A sign, such as 2/5 or 5/1, that is used to represent a portion of a whole, a portion of a set, a place on a number line, or a division of **whole numbers**. Fractions that refer to the same region include regional and provincial flags. Fractions that name a part of a set include **cardinal and ordinal fractions**. Fractions that are used as parts of larger fractions include common fractions.

For example, if you were to divide 100 by 4, you would get 25 or 1/4. Divisions of 100 that don't end in 0 or 5 include 11, 21, 31, 41, 51, 61, 71, 81, 91, and so on. These are all fractions that refer to the same region (the 100th region). You can think of them as portions of 100. Or, they can be seen as elements of a set whose size is 100 things.

Similarly, 3/5 means 30% or 3 of 50 things, or 6 items out of 20. 9/11 means 90% or 9 out of 10.

Regional and provincial flags are often called "fractions" too. For example, the Canadian flag consists of **13 red and white stripes**, representing the 13 provinces and territories, with two red and one white stripe for **each province** and territory.