Dividing Fractions

Dividing fractions is the mathematical process of determining how many units of one fractional quantity fit into another, making it essential for comparing ratios, scaling measurements, and solving real-world problems. The standard method multiplies the first fraction by the reciprocal of the second, because division by a nonzero number is equivalent to multiplication by its multiplicative inverse; for example, dividing by 2/3 means multiplying by 3/2. Students typically simplify factors before or after multiplication and check that the divisor is not zero. This operation supports work with proportions, rates, measurements, algebraic expressions, and practical calculations involving parts of whole quantities.

Dividing Fractions - Related Videos

Education

JoVE Core - Electrical Engineering

Voltage Dividers

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2024

In electrical circuits, resistors can be connected in series, sequentially linked one after the other. In a series configuration, the same current flows through each resistor. Ohm's law is a fundamental principle to understand the behavior of resistors in series. It expresses the voltage across these resistors in terms of the current and resistance. Kirchhoff's voltage law implies that the sum of the voltages across the resistors in series equals the source voltage. This means that the current...

Current Dividers

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2025

In parallel electrical connections, resistors are linked between the same pair of nodes, creating an equal voltage across each resistor. Kirchhoff's current law is applied to these connections, establishing that the sum of currents through these resistors equals the source current. Utilizing Ohm's law, the source current is determined as the product of the source voltage and the sum of the reciprocals of individual resistances. This relationship simplifies the process of finding the current...

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...

Dividing Net Income or Net Loss Among Partners

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2026

In a partnership, the distribution of net income or loss is primarily governed by the partnership agreement. In the absence of such an agreement, the default legal standard requires that all profits and losses be divided equally among the partners, regardless of their respective inputs.Profit Allocation MethodsSeveral methods exist to allocate partnership profits and losses. One straightforward approach is using a fixed ratio, such as a 60:40 split, as stipulated in a partnership agreement.

Research

JoVE Journal - Biology
Free Sample

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.

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