Proper Fraction
Proper Fraction - Related Videos
06:34
Proper Use of Autoclaves
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2023
Robert M. Rioux & Zhifeng Chen, Pennsylvania State University, University Park, PA Autoclaving is one of the most commonly used methods in the laboratory for the purpose of decontamination. The most common items decontaminated with an autoclave are those that contact biological samples (typically those containing microorganisms). An autoclave works by utilizing pressurized high temperature steam to kill microorganisms present in the loaded materials. Sufficient steam flow and heat transfer...
04:28
Proper Waste Disposal
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2023
Robert M. Rioux and Taslima A. Zaman, Pennsylvania State University, Pennsylvania, PA Users are responsible for the proper disposal of the waste generated during their work. Improper waste disposal may severely endanger public health and/or the environment. The handling of hazardous waste must be regulated from the moment of generation until its disposal at its offsite final destination facility. A waste management system must be devised before work begins on any laboratory activity. Users...
05:37
Proper Personal Protective Equipment
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2023
Robert M. Rioux & William A Elliott, Pennsylvania State University, University Park, PA Hazards are many and varied in the laboratory, but the right choice of PPE can make the laboratory a safe place to work.
04:57
Proper Care and Cleaning of the Microscope
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Cited by 2 •
2008
Keeping the microscope optics clean is important for high-quality imaging. Dust, fingerprints, excess immersion oil, or mounting medium on or in a microscope causes reduction in contrast and resolution. DIC is especially sensitive to contamination and scratches on the lens surfaces. This protocol details the procedure for keeping the microscope clean.
03:06
Proper Lab Notebook Keeping - Concepts
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2020
Organic Lab Notebook Keeping Record keeping is a vital skill in science and organic chemistry labs. Without proper notes, descriptions, quantities, or observations, an experiment conducted in the lab cannot be replicated or reproduced. Therefore, keeping an accurate and up-to-date notebook is necessary to achieve reproducibility in science. A laboratory notebook is a powerful tool in both academic and industrial settings. It becomes especially important when a discovery is patented and...
FAQs
Common denominators place fractions on the same partition of a whole, so their numerators can be compared directly. For example, rewriting fractions with equivalent forms makes it possible to determine which represents the larger quantity without changing either value. This is especially useful when the original denominators differ.
Multiplying the numerator and denominator by the same nonzero number creates an equivalent fraction because the ratio between the two parts remains unchanged. The representation may use smaller or larger numerical parts, but it describes the same quantity. This principle supports comparison, simplification, and operations requiring compatible denominators.
Fractions with different denominators must first be rewritten using a common denominator. Each numerator is adjusted consistently so that the new fraction remains equivalent, then the numerators can be combined while the shared denominator is retained. This procedure ensures that only like-sized parts are added.
The denominator determines the division applied to the numerator, so it cannot be zero. Division by zero does not produce a defined numerical value, meaning a fraction with a zero denominator cannot represent a valid quantity in ordinary arithmetic. Keeping the denominator nonzero preserves the fraction's mathematical meaning.
A proper fraction can describe a measured portion of a whole, such as a length, amount, or selected part of a total. It can also express a probability when the relevant quantity lies between zero and one. In both settings, the numerator identifies the counted part and the denominator identifies the reference whole.
Proper fractions provide an exact way to represent quantities between zero and one before expressing them as percentages or placing them in algebraic expressions. They can preserve precision when a quantity is not a whole number and can function as part of a larger mathematical relationship, equation, or model.