1.2 Övningar

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{{Ej vald flik|[[1.2 Bråkräkning|Teori]]}}
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{{Ej vald flik|[[1.2 Bråkräkning|Theory]]}}
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{{Vald flik|[[1.2 Övningar|Övningar]]}}
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{{Vald flik|[[1.2 Övningar|Exercises]]}}
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===Övning 1.2:1===
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===Exercise 1.2:1===
<div class="ovning">
<div class="ovning">
Write as one fraction
Write as one fraction
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||<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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===Övning 1.2:2===
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===Exercise 1.2:2===
<div class="ovning">
<div class="ovning">
Determine the lowest common denominator of
Determine the lowest common denominator of
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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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</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}}
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===Övning 1.2:3===
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===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)
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|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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</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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===Övning 1.2:4===
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===Exercise 1.2:4===
<div class="ovning">
<div class="ovning">
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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|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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===Övning 1.2:5===
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===Exercise 1.2:5===
<div class="ovning">
<div class="ovning">
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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|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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</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}}
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===Övning 1.2:6===
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===Exercise 1.2:6===
<div class="ovning">
<div class="ovning">
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}}

Aktuelle Version

       Theory          Exercises      


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}
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


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}
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

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}
Answer
Svar 1.2:3
Solution a
Lösning 1.2:3a
Solution b
Lösning 1.2:3b


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}}
Answer
Svar 1.2:4
Solution a
Lösning 1.2:4a
Solution b
Lösning 1.2:4b
Solution c
Lösning 1.2:4c


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}}
Answer
Svar 1.2:5
Solution a
Lösning 1.2:5a
Solution b
Lösning 1.2:5b
Solution c
Lösning 1.2:5c


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}}}

Answer
Svar 1.2:6
Solution
Lösning 1.2:6
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