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1.2 Exercises

From Förberedande kurs i matematik 1

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===Övning 1.2:1===
===Övning 1.2:1===
<div class="ovning">
<div class="ovning">
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Skriv på gemensamt bråkstreck
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Write as one fraction
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.2:2===
===Övning 1.2:2===
<div class="ovning">
<div class="ovning">
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Bestäm minsta gemensamma nämnare
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Determine the lowest common denominator of
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.2:3===
===Övning 1.2:3===
<div class="ovning">
<div class="ovning">
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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.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.2:4===
===Övning 1.2:4===
<div class="ovning">
<div class="ovning">
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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.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.2:5===
===Övning 1.2:5===
<div class="ovning">
<div class="ovning">
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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.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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===Övning 1.2:6===
===Övning 1.2:6===
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<div class="ovning">
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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
 +
<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) 47+711 b) 72−51 c) 61−52
d) 31+41+51 e) 78+43−34

Svar | Lösning a | Lösning b | Lösning c | Lösning d | Lösning e


Övning 1.2:2

Determine the lowest common denominator of

a) 61+110 b) 41−81
c) 112−114 d) 245+175

Svar | Lösning a | Lösning b | Lösning c | Lösning d


Övning 1.2:3

Calcualte the following by using the lowest common denominator.

a) 320+750−110 b) 124+140−116

Svar | Lösning a | Lösning b


Övning 1.2:4

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

a) 53710 b) 8372 c) 31041−51

Svar | Lösning a | Lösning b | Lösning c


Övning 1.2:5

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

a) 271−115 b) 31−2121+31 c) \displaystyle \displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}

Svar | Lösning a | Lösning b | Lösning c


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}}}

Svar | Lösning

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