Fractional Forms
Fractional Forms - Related Videos
10:09
Fractional Distillation
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2023
Source: Laboratory of Dr. Nicholas Leadbeater — University of Connecticut Distillation is perhaps the most common laboratory technique employed by chemists for the purification of organic liquids. Compounds in a mixture with different boiling points separate into individual components when the mixture is carefully distilled. The two main types of distillation are "simple distillation" and "fractional distillation", and both are widely used in organic chemistry laboratories. Simple distillation...
01:25
Point-Slope Form
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2026
Point-slope form is a method for expressing the equation of a straight line when its slope and the coordinates of one point on the line are known. It is particularly useful because it directly connects the slope, which describes the line’s rate of change, with a specific point through which the line passes.The slope of a line measures how much the vertical coordinate changes relative to a change in the horizontal coordinate. A positive slope shows that y increases as x increases, while a...
07:57
Using the GELFREE 8100 Fractionation System for Molecular Weight-Based Fractionation with Liquid Phase Recovery
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Cited by 17 •
2009
The accompanying video describes the use of the GELFREE 8100 Fractionation System, which partitions complex protein samples on the basis of molecular weight and recovers the fractions in liquid phase. The video describes how the technology works, how it is used, and provides resultant data, with polyacrylamide gel electrophoresis analysis of fractionated bovine liver homogenate.
11:51
Purification of the Dendritic Filopodia-rich Fraction
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2019
In this protocol, we introduce a method for purifying the dendritic filopodia-rich fraction from the phagocytic cup-like protrusion structure on cultured hippocampal neurons by taking advantage of the specific and strong affinity between a dendritic filopodial adhesion molecule, TLCN, and an extracellular matrix molecule, vitronectin.
04:25
Preparation of Subcellular Fractions from Leukemic Cells: A Method to Generate Cellular and Nuclear Fractions from Leukemic Cells
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2023
This video describes the preparation of subcellular fractions from leukemic cells which is a method to generate cellular and nuclear fractions from leukemic cells. The nuclear and cytoplasmic fractions can be used for further downstream analysis.
FAQs
This works by scaling the numerator and denominator together, so their ratio remains unchanged. The restriction to a nonzero number matters because division by zero is not allowed, and a zero denominator cannot represent a valid fractional form. This equivalence lets one quantity appear in several exact forms without changing the amount it describes.
A fraction can be reduced when its numerator and denominator share a factor: dividing both by that same nonzero factor produces an equivalent form with smaller numbers. Simplification does not alter the represented quantity; it changes only its appearance. This is useful when comparing values, presenting results clearly, or preparing expressions for later mathematical operations.
These two forms can express the same value while emphasizing different features. An improper fraction keeps the quantity in a single numerator-denominator structure, which can support algebraic expressions and arithmetic. A mixed number separates a whole-number part from a fractional remainder, often making the size of a measured quantity easier to interpret.
They provide an exact representation that can be rewritten into decimal or percentage form when another style of communication is more useful. The fractional form retains the ratio of integers, while decimal and percentage presentations can support comparison or reporting. Moving among these forms helps relate symbolic mathematics to measurements, rates, and quantitative statements without changing the underlying value.
First place the quantities in equivalent forms that make their relative sizes easier to inspect, taking care to preserve value through the same nonzero change to numerator and denominator. The comparison can then be interpreted in context, such as a proportion, measurement, or probability. Exact fractional notation is especially useful when rounded decimals could obscure small differences.
In each setting, the numerator and denominator can preserve a precise relationship between two quantities. That makes a fraction useful for describing a part of a whole in probability, a comparison in a proportion, or a rate linking measured quantities. The same value can then be converted into another form when interpretation or communication requires it.