# Fractions

**Fraction** - a rational number of the form a/b where a is called the numerator and b is called the denominator.

WOW! I'm having a heck of a time getting this page built, go to my blog and search "fractions" meantime...this page isn't going to look anything like this when I'm done...this week jan 15 2011 this page will transform...hmmm never transformed...lol now it's Dec 2011..this is now top of the list...

I have made quite a few blog posts on the topic. (More than 30.) So for now there will be a lot of links to my blog as I build this page out. Go to my blog find the search box and type "fractions"...

You *can* start with very young students because fractions are math and math is just counting. Keep in mind the five basic concepts, and start simply...even with older students. Lets say you run into a student who lacks multiplication skills and fractions skills. Teach **both** at the same time using this method.

You can start the journey here:

http://crewtonramoneshouseofmath.blogspot.com/2010/12/fractions-intro.html

Soon there will be lots of pictures vids and all the things you find elsewhere here at the house of math.

http://crewtonramoneshouseofmath.blogspot.com/2011/01/equivalent-fractions-with-wee-ones.html

This vid needs re-doing I don't know what my processor was doing but you can hear it working overtime and it messed up the audio and video although I kind of like the video effect...

Go here for a simple fraction worksheet.

Math Terms/Definitions: Fractions

These all need drawings/pictures or examples or video.

**Cancellation** - simplifying the multiplication of fractions, the process of abridging operations in division by rejecting equal factors. If a numerator is equal to or a multiple of a denominator one of the numbers may be divided into the other. If the numerator and the denominator have the same number, these two numbers cancel out. If, after these, the numerator is larger than the denominator, there is a remainder when they are divided.

**Complex Fraction** - a fraction whose numerator, or denominator, or both, are fractional.

**Denominator** - the number below the fraction bar that indicates how many parts into which the whole is divided.

**Farey Sequence** - the sequence obtained by arranging in numerical order all the proper fractions having denominators not greater than a given integer.

**Fractional Numbers** - express parts of a number.

**Fractional Parts** - portions of an object or quantity which has been divided into smaller pieces.

**Improper Fraction** - a simple fraction whose value is equal to or greater than one, the numerator is greater than the denominator.

**Least Common Denominator** - the smallest number that can be used as the common denominator for a group of fractions.

**Lowest Common Denominator** - the smallest number that is exactly divisible by each denominator of a set of fractions.

**Lowest Terms** - a fraction in which the numerator and denominator have no common factor.

**Numerator** - the number above the fraction bar that indicates the number of parts of the whole that are in a rational number, the number in the top half of the fraction.

**Proper Fraction** - a simple fraction whose value is less than one, the numerator is smaller than the denominator.

**Ratio** - a rational number of the form a/b where a is called the numerator and b is called the denominator, a comparison of numbers, the quotient or result of one quantity divided by another (fraction).

**Rational Number** - a number that can be written as a fraction with integers as the numerator and denominator.

**Rationalize the Denominator** - a process that gets rid of the radical in the denominator.

**Simple Fraction** - one which has a single integral numerator and denominator.

**Solidus** - the slanted line in a fraction such as a/b dividing the numerator from the denominator.

**Unit Fraction** - a fraction whose numerator is 1.

**Vinculum** - the horizontal bar in a fraction separating the numerator from the denominator.

Playing with improper fractions: