Simplifying Fractions
Simplifying Fractions - Related Videos
07:46
Setting Limits on Supersymmetry Using Simplified Models
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Cited by 6 •
2013
This paper demonstrates a protocol for recasting experimental simplified model limits into conservative and aggressive limits on an arbitrary new physics model. Publicly available LHC experimental results can be recast in this manner into limits on almost any new physics model with a supersymmetry-like signature.
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...
10:09
Application of Simplified Stent-bridging Pancreaticogastrostomy in Open Pancreaticoduodenectomy
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2026
Here, we present the stent-bridging pancreaticogastrostomy (PG) technique, which uses a stent to bridge the remnant pancreas to the stomach during open pancreaticoduodenectomy. The stent-bridging PG aims to simplify the anastomosis, achieve complete diversion of pancreatic juice, and minimize manipulation of the pancreatic remnant.
09:48
Fast and Simplified Method for High Through-put Isolation of miRNA from Highly Purified High Density Lipoprotein
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Cited by 2 •
2016
MicroRNAs play an important regulatory role and are emerging as novel therapeutic targets for various human diseases. It has been shown that miRNAs are carried in high density lipoproteins. We have developed a simplified method to rapidly isolate purified HDL suitable for miRNA analysis from human plasma.
03:03
Mixtures of Gases: Dalton's Law of Partial Pressures and Mole Fractions
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2020
Unless individual gases chemically react with each other, the individual gases in a mixture of gases do not affect each other’s pressure. Each gas in a mixture exerts the same pressure that it would exert if it were present alone in the container. The pressure exerted by each individual gas in a mixture is called its partial pressure. This means that in a mixture containing three different gases A, B, and C, if PA is the partial pressure of gas A; PB is the partial pressure of gas B; PC is the...
FAQs
The greatest common factor (GCF) is the key divisor because it captures every factor shared by the numerator and denominator while removing the largest possible common contribution in one step. Dividing both terms by that same number preserves their relationship. If a larger common divisor existed, the original choice was not the GCF.
Prime factorization breaks each numerator and denominator into prime factors, such as 2, 3, or 5. Matching factors reveal which factors are shared and therefore which divisor can be used. This approach is especially helpful when common factors are not immediately visible, and it provides a systematic way to locate the GCF before performing the division.
Beyond making a fraction shorter, simplification exposes the numerical relationship represented by its two parts. That clearer form can make fractions easier to compare and interpret, particularly when several rational numbers appear together. In mathematics, reducing unnecessary shared factors also supports clearer communication of results without changing the value being represented.
To simplify a fraction, first identify the factors shared by its numerator and denominator, then select their greatest common factor. Divide both parts by that divisor, and inspect the resulting numerator and denominator for any remaining shared factor. Prime factorization can support the first step when the common factors are difficult to identify directly.
Use the simplified form when presenting a final fraction or when a calculation with rational numbers, ratios, or proportions would be easier to read in reduced terms. The process does not alter the represented value, so it can clarify the result while preserving the numerical relationship needed for later work.
In probability, ratios, and algebraic expressions, simplified fractions provide a compact way to communicate numerical results. They can also support work with rational numbers and equations by presenting relationships without unnecessary shared factors. This clarity helps readers interpret the result and gives later mathematical steps a cleaner starting form.