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1.2 Exercises

From Förberedande kurs i matematik 1

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{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
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| style="border-bottom:1px solid #000" width="5px" |  
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{{Ej vald flik|[[1.2 Bråkräkning|Theory]]}}
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{{Not selected tab|[[1.2 Fractional arithmetic|Theory]]}}
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{{Vald flik|[[1.2 Övningar|Exercises]]}}
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{{Selected tab|[[1.2 Exercises|Exercises]]}}
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===Exercise 1.2:1===
===Exercise 1.2:1===
<div class="ovning">
<div class="ovning">
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Write as one fraction
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Express as a single fraction
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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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: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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</div>{{#NAVCONTENT:Answer|Answer 1.2:1|Solution a|Solution 1.2:1a|Solution b|Solution 1.2:1b|Solution c|Solution 1.2:1c|Solution d|Solution 1.2:1d|Solution e|Solution 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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</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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</div>{{#NAVCONTENT:Answer|Answer 1.2:2|Solution a|Solution 1.2:2a|Solution b|Solution 1.2:2b|Solution c|Solution 1.2:2c|Solution d|Solution 1.2:2d}}
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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:Answer|Svar 1.2:3|Solution a|Lösning 1.2:3a|Solution b|Lösning 1.2:3b}}
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</div>{{#NAVCONTENT:Answer|Answer 1.2:3|Solution a|Solution 1.2:3a|Solution b|Solution 1.2:3b}}
===Exercise 1.2:4===
===Exercise 1.2:4===
<div class="ovning">
<div class="ovning">
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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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Simplify the following by writing each part as one fraction. The fraction should be in the simplest possible form.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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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: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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</div>{{#NAVCONTENT:Answer|Answer 1.2:4|Solution a|Solution 1.2:4a|Solution b|Solution 1.2:4b|Solution c|Solution 1.2:4c}}
===Exercise 1.2:5===
===Exercise 1.2:5===
<div class="ovning">
<div class="ovning">
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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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Simplify the following by writing each part as one fraction. The fraction should be in the simplest possible form.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
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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: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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</div>{{#NAVCONTENT:Answer|Answer 1.2:5|Solution a|Solution 1.2:5a|Solution b|Solution 1.2:5b|Solution c|Solution 1.2:5c}}
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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>
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</div>{{#NAVCONTENT:Answer|Svar 1.2:6|Solution |Lösning 1.2:6}}
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</div>{{#NAVCONTENT:Answer|Answer 1.2:6|Solution |Solution 1.2:6}}

Current revision

       Theory          Exercises      


Exercise 1.2:1

Express as a single fraction

a) 47+711 b) 72−51 c) 61−52
d) 31+41+51 e) 78+43−34

Answer | Solution a | Solution b | Solution c | Solution d | Solution e


Exercise 1.2:2

Determine the lowest common denominator of

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

Answer | Solution a | Solution b | Solution c | Solution d


Exercise 1.2:3

Calculate the following by using the lowest common denominator.

a) 320+750−110 b) 124+140−116

Answer | Solution a | Solution b


Exercise 1.2:4

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

a) 53710 b) 8372 c) 31041−51

Answer | Solution a | Solution b | Solution c


Exercise 1.2:5

Simplify the following by writing each part as one fraction. The fraction should be in the 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}}

Answer | Solution a | Solution b | Solution c


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 | Solution

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