Processing Math: Done
To print higher-resolution math symbols, click the
Hi-Res Fonts for Printing button on the jsMath control panel.
jsMath

1.2 Exercises

From Förberedande kurs i matematik 1

(Difference between revisions)
Jump to: navigation, search
Current revision (11:49, 22 October 2008) (edit) (undo)
 
(14 intermediate revisions not shown.)
Line 2: Line 2:
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
{| border="0" cellspacing="0" cellpadding="0" height="30" width="100%"
| style="border-bottom:1px solid #000" width="5px" |  
| style="border-bottom:1px solid #000" width="5px" |  
-
{{Mall:Ej vald flik|[[1.2 Bråkräkning|Teori]]}}
+
{{Not selected tab|[[1.2 Fractional arithmetic|Theory]]}}
-
{{Mall:Vald flik|[[1.2 Övningar|Övningar]]}}
+
{{Selected tab|[[1.2 Exercises|Exercises]]}}
| style="border-bottom:1px solid #000" width="100%"|  
| style="border-bottom:1px solid #000" width="100%"|  
|}
|}
-
===Övning 1.2:1===
+
 
 +
===Exercise 1.2:1===
<div class="ovning">
<div class="ovning">
-
Skriv på gemensamt bråkstreck
+
Express as a single fraction
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
Line 16: Line 17:
|width="33%" | <math>\displaystyle \frac{2}{7}-\frac{1}{5}</math>
|width="33%" | <math>\displaystyle \frac{2}{7}-\frac{1}{5}</math>
|c)
|c)
-
|width="33%" | <math>\displaystyle \frac{2}{7}-\frac{1}{5}</math>
+
|width="33%" | <math>\displaystyle \frac{1}{6}-\frac{2}{5}</math>
|-
|-
|d)
|d)
Line 23: Line 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>
|}
|}
-
</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}}
+
</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}}
-
===Övning 1.2:2===
+
===Exercise 1.2:2===
<div class="ovning">
<div class="ovning">
-
Bestäm minsta gemensamma nämnare
+
Determine the lowest common denominator of
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
Line 40: Line 41:
|| <math>\displaystyle \frac{2}{45}+\frac{1}{75}</math>
|| <math>\displaystyle \frac{2}{45}+\frac{1}{75}</math>
|}
|}
-
</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}}
+
</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}}
-
===Övning 1.2:3===
+
===Exercise 1.2:3===
<div class="ovning">
<div class="ovning">
-
Beräkna följande uttryck genom att använda minsta gemensamma nämnare:
+
Calculate the following by using the lowest common denominator.
{| width="100%" cellspacing="10px"
{| width="100%" cellspacing="10px"
|a)
|a)
Line 52: Line 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>
|}
|}
-
</div>{{#NAVCONTENT:Svar|Svar 1.2:3|Lösning a|Lösning 1.2:3a|Lösning b|Lösning 1.2:3b}}
+
</div>{{#NAVCONTENT:Answer|Answer 1.2:3|Solution a|Solution 1.2:3a|Solution b|Solution 1.2:3b}}
-
===Övning 1.2:4===
+
===Exercise 1.2:4===
<div class="ovning">
<div class="ovning">
-
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.
+
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)
Line 66: Line 67:
|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>
|}
|}
-
</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}}
+
</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}}
-
===Övning 1.2:5===
+
===Exercise 1.2:5===
<div class="ovning">
<div class="ovning">
-
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.
+
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)
Line 80: Line 81:
|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>
|}
|}
-
</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}}
+
</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}}
-
===Övning 1.2:6===
+
===Exercise 1.2:6===
<div class="ovning">
<div class="ovning">
-
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>
+
Simplify
-
</div>{{#NAVCONTENT:Svar|Svar 1.2:6|Lösning |Lösning 1.2:6}}
+
<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: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) 87−316310−51

Answer | Solution a | Solution b | Solution c


Exercise 1.2:6

Simplify  21−32−7223+21+2141−31

Answer | Solution

Retrieved from "http://wiki.math.se/wikis/2008/bridgecourse1-ImperialCollege/index.php/1.2_Exercises"