Adding Fractions
Adding Fractions - Related Videos
09:13
Marginal Dishonesty: The Adding-to-10 Task
0 Views •
2023
Source: Julian Wills & Jay Van Bavel—New York University Classical economic theory asserts that people are rational and self-interested. In addition to seeking wealth and status, people are motivated by other goals. As a result, financial motives can sometimes be dwarfed by other internal needs, such as maintaining a positive self-concept or affiliating with other group members. Ethical dilemmas, such as the temptation to cheat on taxes, can result when these motives are in conflict. On...
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...
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.
09:20
In situ Subcellular Fractionation of Adherent and Non-adherent Mammalian Cells
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Cited by 29 •
2010
In situ subcellular fractionation of mammalian cells on microscope coverslips allows the visualisation of protein localisation.
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
Matching denominators show that the fractions divide a whole into the same-sized parts. The numerators then count portions of one shared unit, so those counts can be combined while the denominator stays unchanged. Adding unlike denominators directly would combine differently sized parts, producing an invalid total rather than a correctly represented sum.
The least common multiple provides the smallest denominator shared by the original denominators. Rewriting each fraction with that denominator creates equivalent fractions without changing their values. Using this smallest convenient choice usually keeps the numerators and later simplification more manageable, although any valid common denominator can support the calculation.
Reduction expresses the same quantity with fewer, larger fractional units by dividing the numerator and denominator by a common factor. It does not change the sum, but it produces the standard simplified form and makes results easier to compare or use in later calculations. A fraction is fully reduced when no common factor remains.
The fractional parts may produce an improper fraction, meaning the numerator is at least as large as the denominator. Regrouping converts each complete group of fractional units into one whole and combines that whole with the integer portions. For example, a fractional total of one whole increases the whole-number part rather than remaining separate.
First inspect the denominators and choose a common denominator when they differ. Rewrite each fraction as an equivalent fraction, add the numerators, and retain the shared denominator. Then reduce the result, and convert an improper result to a mixed number when appropriate. With mixed numbers, handle the integer and fractional parts while checking for regrouping.
In equations, fraction addition combines terms that may represent portions of a quantity, allowing the total to be simplified before other operations are performed. The same reasoning supports comparing amounts, working with ratios, and interpreting measurements. In probability, adding compatible fractional outcomes can represent a combined chance, provided the quantities are being totaled in the same context.