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Fraction Basics beer-selection.com Topical overview | Jr Math overview | MathBits" Teacher resources Terms that Use call Person: Donna Roberts
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A fraction is a part of a whole.

You are watching: The number on the bottom of a fraction is called the

The height number indicates the variety of parts being considered. (such as 3 pieces of pizza) The bottom number indicates the number of parts right into which the entirety is equally divided. (such as a pizza split into 4 equal pieces)


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Visualizing Fractions: name the portion represented by the adhering to shadings?

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A portion with a one in the numerator is referred to as a unit fraction.


When handling fractions, the height number is referred to as the numerator and the bottom number is called the denominator. These room terms the you must know.
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The molecule is the variety of the sections taken into consideration (it is multiplication): 3 • ¼ The denominator is the number of parts into which the whole is divided: 1 ÷ 4 The fraction bar (called a vinculum or a division bar) may be read as "divided by" as as soon as converting ¾ right into a decimal (¾ = 3 ÷ 4 = 0.75). Walk you an alert the connection in between a fraction, such as a/b and the division symbol, ÷. The dots above and listed below the bar stand for 2 numbers.
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fractions on a Number Line: represent the fraction, illustrated by the one diagram below, ~ above a number line.


To create a number line representation of a fraction: 1. Attract a number line. 2. Label the place of 0 and also 1 (leave lot of of room)
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3. The denominator (bottom) will tell girlfriend the variety of equal part to create between 0 and also 1. 4. The numerator (top) will certainly tell friend the number of the equal sections to shade to stand for the fraction.

Decomposing Fractions: (breaking fountain down right into parts)

A single fraction can be stood for as numerous fractions put together (added together).


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All of this entries stand for the same quantity, i beg your pardon is 7 "one-eighth" sections, as checked out by the same complete shadings in the diagrams. In the second and third listings above, notice that the numerators include up come the molecule of the initial (first) portion which is 7.

wrong Fractions and also Mixed Numbers: A proper fraction is a fraction that is less than one, with the numerator (top) much less than the denominator (bottom). It is the kind of fraction we most often see, such as ¼, ¾, and ½.

An improper fraction is a fraction where the numerator (top) is better than (or same to) the denominator (bottom).

The fraction

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deserve to be assumed of as 7 x , explained as "7 one-eighths", and also displayed as:
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The fraction deserve to be thought of together 10 x , described as "10 one-eighths", and also displayed as:

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an alert that in the improper fraction we have the entire "whole" add to a small more. Improper fountain may have actually ONE copy that the "whole" or multiple copies of the "whole". Notification in this problem we have actually "ONE whole" add to "2 one-eighths". This can be composed as a blended number together
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. Us now know that .

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A mixed number is number consists of an integer and also a proper fraction. Not correct fractions have the right to be changed into blended numbers, together we witnessed above.


A quick technique to surprise an improper portion to a mixed number:
transform come a mixed number. Divide the molecule by the denominator. (Divide the top by the bottom.) The answer will be the number of wholes. The remainder will be the brand-new numerator.