1.2 Übungen

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Zeile 24: Zeile 24:
||<math> \displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}</math>
||<math> \displaystyle \frac{8}{7}+\frac{3}{4}-\frac{4}{3}</math>
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</div>{{#NAVCONTENT:Svar|Svar 1.2:1|Lösning a|Lösning 1.2:1a|Lösning b|Lösning 1.2:1b|Lösning c|Lösning 1.2:1c|Lösning d|Lösning 1.2:1d|Lösning e|Lösning 1.2:1e}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:1|Solution a|Lösning 1.2:1a|Solution b|Lösning 1.2:1b|Solution c|Lösning 1.2:1c|Solution d|Lösning 1.2:1d|Solution e|Lösning 1.2:1e}}
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|| <math>\displaystyle \frac{2}{45}+\frac{1}{75}</math>
|| <math>\displaystyle \frac{2}{45}+\frac{1}{75}</math>
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|}
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</div>{{#NAVCONTENT:Svar|Svar 1.2:2|Lösning a|Lösning 1.2:2a|Lösning b|Lösning 1.2:2b|Lösning c|Lösning 1.2:2c|Lösning d|Lösning 1.2:2d}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:2|Solution a|Lösning 1.2:2a|Solution b|Lösning 1.2:2b|Solution c|Lösning 1.2:2c|Solution d|Lösning 1.2:2d}}
===Exercise 1.2:3===
===Exercise 1.2:3===
<div class="ovning">
<div class="ovning">
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Calcualte the following by using the lowest common denominator.
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Calculate the following by using the lowest common denominator.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
Zeile 53: Zeile 53:
|width="50%"| <math>\displaystyle\frac{1}{24}+\frac{1}{40}-\frac{1}{16}</math>
|width="50%"| <math>\displaystyle\frac{1}{24}+\frac{1}{40}-\frac{1}{16}</math>
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|}
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</div>{{#NAVCONTENT:Svar|Svar 1.2:3|Lösning a|Lösning 1.2:3a|Lösning b|Lösning 1.2:3b}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:3|Solution a|Lösning 1.2:3a|Solution b|Lösning 1.2:3b}}
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|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}</math>
|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{1}{4}-\frac{1}{5}}{\displaystyle\frac{3}{10}}</math>
|}
|}
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</div>{{#NAVCONTENT:Svar|Svar 1.2:4|Lösning a|Lösning 1.2:4a|Lösning b|Lösning 1.2:4b|Lösning c|Lösning 1.2:4c}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:4|Solution a|Lösning 1.2:4a|Solution b|Lösning 1.2:4b|Solution c|Lösning 1.2:4c}}
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|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}</math>
|width="33%"| <math>\displaystyle\frac{\displaystyle\frac{3}{10}\displaystyle-\frac{1}{5}}{\displaystyle\frac{7}{8}\displaystyle-\frac{3}{16}}</math>
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|}
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</div>{{#NAVCONTENT:Svar|Svar 1.2:5|Lösning a|Lösning 1.2:5a|Lösning b|Lösning 1.2:5b|Lösning c|Lösning 1.2:5c}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:5|Solution a|Lösning 1.2:5a|Solution b|Lösning 1.2:5b|Solution c|Lösning 1.2:5c}}
Zeile 88: Zeile 88:
Simplify
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>
<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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</div>{{#NAVCONTENT:Svar|Svar 1.2:6|Lösning |Lösning 1.2:6}}
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</div>{{#NAVCONTENT:Answer|Svar 1.2:6|Solution |Lösning 1.2:6}}

Version vom 11:26, 14. Aug. 2008

 

Vorlage:Ej vald flik Vorlage:Vald flik

 


Exercise 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}


Exercise 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}


Exercise 1.2:3

Calculate 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}


Exercise 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}}


Exercise 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}}


Exercise 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}}}