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3.10 More difficult fraction sums

Sometimes you have to find equivalent factions for all fractions in the sum in order that the denominators are the same.

To add or subtract fractions, use equivalent fractions to make the denominators the same and then add or subtract the numerators.

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Acknowledgements

The content acknowledged below is Proprietary (see terms and conditions) and is used under licence.

Course image: Courtesy of banlon1964 Flickr [accessed 27 October 2006]

All other material within this course originated at the Open University

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If reading this text has inspired you to learn more, you may be interested in joining the millions of people who discover our free learning resources and qualifications by visiting The Open University -
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Electromagnetic Spectrum Song
Song by Emerson and Wong Yann.  Song is about the electromagnetic spectrum and the different wave lengths.  Shows which waves are the longest and the shortest.  Song is okay but the information they give is good. (04:17)
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Man and Machine: the macroeconomics of the digital revolution [Audio]
Speaker(s): Professor Jeffrey D. Sachs | The automation of robots and artificial intelligence is pretty well advanced in certain industries. The income now is shifting more and more to capital and away from workers, contributing to a general widening of inequality in the United States. Jeff Sachs argues that we need to pursue policies so that the coming generation of smart machines works for us and our well-being, rather than humanity working for the machines and the few who control their operat
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3.2.1 Remarks

  1. By ‘contains’, we mean that we can find part of the surface that is homeomorphic to a Möbius band. The edge of the Möbius band does not need to correspond to an edge at the surface, so that a surface without boundary can be non-orientable (as we shall shortly see).

  2. When seeking Möbius bands in a surface, it can be helpful to look at all possible closed curves on the surface and thicken these into bands.

  3. Remember, fro
    Author(s): The Open University

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15.963 Management Accounting and Control (MIT)
This course is an introduction to the use of accounting information by managers for decision making, performance evaluation and control. The course should be useful for those who intend to work as management consultants, for LFM (Leaders for Manufacturing) students, and in general, for those who will become senior managers.
Author(s): Khan, Mozaffar

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1.2 The Sandham Memorial Chapel

So let us turn first of all to the visual arts, and see how one artist, Stanley Spencer, created a memorial to those who died in the First World War. Spencer was profoundly affected by his experience of the war, and decorated the walls of a chapel especially designed to display his work.

First of all, it will help to have a few biographical details. This is not because you could not understand his painting without knowing about him: you could certainly pick up a lot of information about
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Winning Resources and Support
A short introduction to this album.
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4-point bending under a circular polariscope of annealed polycarbonate bar with hole
Annealed, polycarbonate bar with hole undergoing 4-point bending under a circular polariscope. From TLP: Introduction to photoelasticity, http://www.msm.cam.ac.uk/doitpoms/tlplib/photoelasticity/index.html
Author(s): DoITPoMS, University of Cambridge

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http://creativecommons.org/licenses/by-nc-sa/2.0/uk/

2.4 Comparing early sources of news

Radio and newsreels

Taylor compares the merits of radio and newsreels, as sources of news, with those of newspapers.

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Television Announcement of Death of Dwight Eisenhower (1969)
This is a television report about former President Eisenhower passing away, including a mini-biography. (06:23)
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Computer Basics : What Is a DSL Modem?
A DSL modem, or digital subscriber line, sends digital signals over telephone lines in order for users to access the Internet. Find out how DSL modems convert Internet signals and provide cable ports for a router or Ethernet cable. English cpations. (1:14)
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8.5 Who belongs to Glasgow?

There are many different ways of interpreting and representing the character and identity of a place – many different geographical imaginations. Identities of places are a product of social action and of how people construct their own representations of particular places. Thus this unit explores ideas about place and identity using the concept of ‘geographical imagination’.

This is achieved by examining the images that represent a place, to reveal how those images came about and d
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2 A 4.6 billion-year history

Climate change is a natural process of warming and cooling that has occurred all through the Earth's history. Throughout geological time there have been ‘hot-house’ periods and ice ages. In order to understand the current situation, it is necessary to have some sense of context and perspective, from historical and geological time-scales. The document below shows a chart showing a generalised temperature history of the Earth.

Click on the link below to see the chart


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Khan Academy: Chemistry 1 App for iOS
'Ximarc Studios Inc is proud to bring you Khan Academy Chemistry 1 (videos 1-20). Khan Academy Chemistry allows students to learn Chemistry through various videos which are downloaded directly on your iPhone or iPod touch and in the future to your iPad. Students can watch the video anywhere, anytime, all the time and NEVER be concerned about having access to the internet while you are going through a Khan Academy lesson.Ximarc Studios will continue to bring you great video lessons from the Khan
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21W.732-2 Introduction to Technical Communication: Ethics in Science and Technology (MIT)
This section of Introduction to Technical Communication deals with ethical issues associated with the design, use, and propagation of technology. At virtually all stages of development and use, any technology can carry with it ethical dilemmas for both creators and users. Of particular interest is how such dilemmas are resolved (or complicated) according to how effectively they are communicated to stakeholders.
Author(s): Doherty, Robert

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Dr Roma Chilengi, Head of Clinical Trials at the Kenya Medical Research Institute (KEMRI)/Wellcome Trust Research Programme in Kilifi, Kenya gives an introduction to research ethics. This overview covers the historical origins and landmark events that have influenced current understanding of research ethics. Some of the major ethical codes and fundamental ethical principles are identified and their application in research is discussed. Finally, there is an overview of the role of ethics committe
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5.2 Electronic kitchen scales

A set of electronic kitchen scales is shown in Figure 7. Their basic operation is relatively simple. When they are switched on and, for example, a 500-gram object is placed in the scalepan, the display shows the digits 500 and the letter g.

Twelfth Night, Part 2 of
This animated cartoon abridgment of the great classic play by Shakespeare brings this story to younger students.  Some of Shakespeare's words appear at the bottom of the screen.  Part 2 of  ends in mid-sentence.  (8:16)
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2.4 The atmosphere and polar ice

David A. Rothery Teach Yourself Planets, Chapter 6, pp. 66-75, Hodder Education, 2000, 2003.

Copyright © David Rothery

The Moon's atmosphere is almost as insubstantial as Mercury's, and probably has much the same origin. The Clementine mission returned our first clear views of the lunar poles, showing sites in particular near the south pole that are permanently in shadow, and which could therefore be places where ice might accumulate (Figure 1). Clementine's
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