1.2 Exercises

From Förberedande kurs i matematik 1

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===Övning 1.2:1===
===Övning 1.2:1===
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Skriv på gemensamt bråkstreck
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Write as one fraction
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===Övning 1.2:2===
===Övning 1.2:2===
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Bestäm minsta gemensamma nämnare
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Determine the lowest common denominator of
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===Övning 1.2:3===
===Övning 1.2:3===
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Beräkna följande uttryck genom att använda minsta gemensamma nämnare:
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Calcualte the following by using the lowest common denominator.
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===Övning 1.2:4===
===Övning 1.2:4===
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F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat.
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Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.
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===Övning 1.2:5===
===Övning 1.2:5===
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F&ouml;renkla f&ouml;ljande uttryck genom att skriva p&aring; gemensamt br&aring;kstreck. Br&aring;ket ska vara f&auml;rdigf&ouml;rkortat.
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Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.
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{| width="100%" cellspacing="10px"
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===Övning 1.2:6===
===Övning 1.2:6===
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F&ouml;renkla <math>\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}</math>
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Simplify
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<math>\ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}</math>
</div>{{#NAVCONTENT:Svar|Svar 1.2:6|Lösning |Lösning 1.2:6}}
</div>{{#NAVCONTENT:Svar|Svar 1.2:6|Lösning |Lösning 1.2:6}}

Revision as of 10:53, 3 August 2008

       Teori          Övningar      


Övning 1.2:1

Write as one fraction

a) \displaystyle \displaystyle \frac{7}{4}+\frac{11}{7} b) \displaystyle \displaystyle \frac{2}{7}-\frac{1}{5} c) \displaystyle \displaystyle \frac{1}{6}-\frac{2}{5}
d) \displaystyle \displaystyle \frac{1}{3}+\frac{1}{4}+\frac{1}{5} e) \displaystyle \displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}


Övning 1.2:2

Determine the lowest common denominator of

a) \displaystyle \displaystyle \frac{1}{6}+\frac{1}{10} b) \displaystyle \displaystyle \frac{1}{4}-\frac{1}{8}
c) \displaystyle \displaystyle \frac{1}{12}-\frac{1}{14} d) \displaystyle \displaystyle \frac{2}{45}+\frac{1}{75}


Övning 1.2:3

Calcualte the following by using the lowest common denominator.

a) \displaystyle \displaystyle\frac{3}{20}+\frac{7}{50}-\frac{1}{10} b) \displaystyle \displaystyle\frac{1}{24}+\frac{1}{40}-\frac{1}{16}


Övning 1.2:4

Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.

a) \displaystyle \displaystyle\frac{\displaystyle\frac{3}{5}}{\displaystyle\frac{7}{10}} b) \displaystyle \displaystyle\frac{\displaystyle\frac{2}{7}}{\displaystyle\frac{3}{8}} c) \displaystyle \displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}


Övning 1.2:5

Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.

a) \displaystyle \displaystyle \frac{2}{\displaystyle \frac{1}{7}\displaystyle -\frac{1}{15}} b) \displaystyle \displaystyle\frac{\displaystyle\frac{1}{2}\displaystyle+\frac{1}{3}}{\displaystyle\frac{1}{3}\displaystyle-\frac{1}{2}} c) \displaystyle \displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}


Övning 1.2:6

Simplify \displaystyle \ \,\displaystyle \frac{\displaystyle \frac{2}{\displaystyle 3+\frac{1}{2}}\displaystyle + \frac{\displaystyle \frac{1}{2}}{\displaystyle \frac{1}{4}\displaystyle -\frac{1}{3}}}{\displaystyle \frac{1}{2}\displaystyle - \frac{3}{\displaystyle 2-\frac{2}{7}}}