noun

definition

A part of a whole, especially a comparatively small part.

definition

A ratio of two numbers, the numerator and the denominator, usually written one above the other and separated by a horizontal bar.

definition

A component of a mixture, separated by fractionation.

definition

In a eucharistic service, the breaking of the host.

definition

A small amount.

definition

The act of breaking, or state of being broken, especially by violence.

verb

definition

To divide or break into fractions.

Examples of fractions in a Sentence

These two fractions are equal to each other, and also to 1530.

This helps fractions come to life in the everyday environment.

A fraction written in this way is called a decimal fraction; or we might define a decimal fraction as a fraction having a power of To for its denominator, there being a special notation for writing such fractions.

Fractions other than decimal fractions are usually called vulgar fractions.

The Egyptians as a rule used only unit-fractions, other fractions being expressed as the sum of unit-fractions.

The Greeks originally used unit-fractions, like the Egyptians; later they introduced the sexagesimal fractions of the Babylonians, extending the system to four or more successive subdivisions of the unit representing a degree.

They also, but apparently still later and only occasionally, used fractions of the modern kind.

In the sexagesimal system the numerators of the successive fractions (the denominators of which were the successive powers of 60) were followed by', ", "', ", the denominator not being written.

Since represented 60, and o was the next letter, the latter appears to have been used to denote absence of one of the fractions; but it is not clear that our present sign for zero was actually derived from this.

In the case of fractions of the more general kind, the numerator was written first with ', and then the denominator, followed by ", was written twice.

The Romans commonly used fractions with denominator 12; these were described as unciae (ounces), being twelfths of the as (pound).

Hindu treatises on arithmetic show the use of fractions, containing a power of io as denominator, as early as the beginning of the 6th century A.D.

Even where the decimal notation would seem to arise naturally, as in the case of approximate extraction of a square root, the portion which might have been expressed as a decimal was converted into sexagesimal fractions.

Also most fractions cannot be expressed exactly as decimals; and this is also the case for surds and logarithms, as well as for the numbers expressing certain ratios which arise out of geometrical relations.

For multiplication by a proper fraction or a decimal, it is sometimes convenient, especially when we are dealing with mixed quantities, to convert the multiplier into the sum or difference of a number of fractions, each of which has i as its numerator.

Continued fractions, one of the earliest examples of which is Lord Brouncker's expression for the ratio of the circumference to the diameter of a circle (see Circle), were elaborately discussed by John Wallis and Leonhard Euler; the convergency of series treated by Newton, Euler and the Bernoullis; the binomial theorem, due originally to Newton and subsequently expanded by Euler and others, was used by Joseph Louis Lagrange as the basis of his Calcul des Fonctions.

There are many different printed and bound books available that focus on fractions exclusively.

Many of the upper elementary grade workbooks include fractions in a variety of forms.

One of the disadvantages of these printed books is that they sometimes contain material other than just fractions.

This can help you see if your child even understands fractions before you start printing off fraction worksheets for him or her to perform.

For example, your child may understand how to add fractions, but need some additional help with multiplying before being given worksheets covering this concept.

The Internet abounds with free printable worksheets and items to help your child learn fractions.

Math Drills - This site offers not only fraction worksheets but printable manipulatives to help your child learn fractions hands on.

TeachNology - Tons of free worksheets featuring fractions of different sizes and types.

You'll even find pizza fractions and similar items to help make learning fun.

Whichever method you choose for locating the worksheets you'll use to teach your child fractions, remember that daily practice is vital when it comes to math.

Fraction Worksheet -Includes a fraction worksheet generator that produces like or unlike fractions.

Counting on fingers and toes, for example, helps children learn how to count, but more in-depth concepts such as decimals and fractions can be made easier through the use of games and tools.

If you have not worked on fractions, stick with whole numbers, such as dollars or five dollars to avoid confusing your child.

Using models can help children to understand basic mathematical concepts such as fractions and percentages.

Fractions lesson plans represent a challenging milestone in your child's academic career.

It is often around the time that a student is introduced to fractions and more complicated mathematical concepts that confusion may begin to settle in.

This isn't necessarily because fractions are so difficult in and of themselves, but the concept can be more abstract for children and more complicated to absorb.

There is no shortage of fractions lesson plans available on the web.

Fractions do not always seem as tangible a concept to young students as the mathematical fundamentals of addition, subtraction, multiplication, and division.

However, fractions are a mathematical fundamental that is necessary for most types of advanced math.

Solidifying the concept of fractions is essential for a child's mathematical development.

Introducing the idea that fractions are highly applicable to a person's day-to-day activities is important.

LessonPlanet.com offers many worksheets and activities regarding the introduction of fractions.

Fractions appear at the second grade level.

This isn't necessarily a site for full fractions lesson plans, but it is an excellent resource for honing skills.

When it comes to introducing fractions to stressed students, lessons will always be benefited by the supplementation of as much hands-on experience as possible.

An excellent way to supplement your homeschooler's fractions lessons is to bake with your child, showing him how two-half cups are equivalent to a full cup and so forth.

Even small basic concepts like fractions pave the way for a successful study of math.

This is why, regardless of time and costs, ensuring that your child comprehends his fractions lessons thoroughly is fundamental before the child can be expected to advance.

The jewelry industry maintains strict regulations on the ranges of carat weights that may be grouped into particular fractions to help uphold the high quality standards of the industry.

A game that focuses on learning fractions through fun.

After you are done cooking, use meal time to introduce fractions.

This is a great way to show how fractions work.

Not only is this hands-on game lots of fun, it also helps teach early mathematic skills such as adding, subtracting, and even fractions!

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