// Numbas version: exam_results_page_options {"name": "Desimal til br\u00f8k, br\u00f8k til desimal", "extensions": [], "custom_part_types": [], "resources": [], "navigation": {"allowregen": true, "showfrontpage": false, "preventleave": false, "typeendtoleave": false}, "question_groups": [{"pickingStrategy": "all-ordered", "questions": [{"name": "Desimal til br\u00f8k, br\u00f8k til desimal", "tags": [], "metadata": {"description": "", "licence": "All rights reserved"}, "statement": "", "advice": "

b) La $\\var{d/(10^c-1)}\\ldots=x$

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Ganger med $\\var{10^c}$ begge sider av likningen

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$\\var{(10^c)*d/(10^c-1)}\\ldots=\\var{10^c}x$

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Trekker $x$ som er likt $\\var{d/(10^c-1)}\\ldots$ fra begge sidene

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$\\var{(10^c)*d/(10^c-1)}\\ldots-\\var{d/(10^c-1)}\\ldots=\\var{10^c}x-x$

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Da

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$\\var{d}=\\var{10^c-1}x$ 

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og $x$ blir

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$x=\\frac{\\var{d}}{\\var{10^c-1}}$

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eller 

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$\\var{d/(10^c-1)}\\ldots=\\frac{\\var{d}}{\\var{10^c-1}}$

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Skriv brøken $\\dfrac{\\var{b}}{\\var{a}}$ som desimaltall ved å utføre divisjonen for hånd. Avrund svaret til tre desimaler.

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Skriv desimaltallet $\\var{d/(10^c-1)}$ som brøk

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