Skillnad mellan versioner av "1.4 Lösning 5a"

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<big><big><math> \frac{x}{3} + {x \over 2} - {x \over 6} \; = \; {2\,x \over 2 \cdot 3} + {3\,x \over 3 \cdot 2} - {x \over 6} \; = \; {2\,x \over 6} + {3\,x \over 6} - {x \over 6} \; = \; {2\,x + 3\,x - x \over 6} \; = \; </math></big></big>
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<big><big><math> \frac{x}{3} + {x \over 2} - {x \over 6} \; = \; {2\,x \over 2\,\cdot\,3} + {3\,x \over 3\,\cdot\,2} - {x \over 6} \; = \; {2\,x \over 6} + {3\,x \over 6} - {x \over 6} \; = \; {2\,x\,+\,3\,x\,-\,x \over 6} \; = \; </math></big></big>
  
  
 
<big><big><math> = \; {4\,x \over 6} \; = \; {2\,x \over 3} \; = \; {2 \over 3} </math></big></big> <math>\!x </math>
 
<big><big><math> = \; {4\,x \over 6} \; = \; {2\,x \over 3} \; = \; {2 \over 3} </math></big></big> <math>\!x </math>

Versionen från 2 augusti 2014 kl. 21.53

\( \frac{x}{3} + {x \over 2} - {x \over 6} \; = \; {2\,x \over 2\,\cdot\,3} + {3\,x \over 3\,\cdot\,2} - {x \over 6} \; = \; {2\,x \over 6} + {3\,x \over 6} - {x \over 6} \; = \; {2\,x\,+\,3\,x\,-\,x \over 6} \; = \; \)


\( = \; {4\,x \over 6} \; = \; {2\,x \over 3} \; = \; {2 \over 3} \) \(\!x \)