1.2 Exercises

From Förberedande kurs i matematik 1

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===Övning 1.2:1===
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===Exercise 1.2:1===
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Write as one fraction
Write as one fraction
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===Övning 1.2:2===
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===Exercise 1.2:2===
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Determine the lowest common denominator of
Determine the lowest common denominator of
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===Övning 1.2:3===
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===Exercise 1.2:3===
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Calcualte the following by using the lowest common denominator.
Calcualte the following by using the lowest common denominator.
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===Övning 1.2:4===
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===Exercise 1.2:4===
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Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.
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===
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===Exercise 1.2:5===
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Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.
Simplify the following by writing each part as one fraction. The fraction should be in simplest possible form.
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===Övning 1.2:6===
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===Exercise 1.2:6===
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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>
</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 11:05, 3 August 2008

       Teori          Övningar      


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

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}


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}}}