{"book":"adl0938","page":498,"text":"۴۹۱\n\nبدرستی باید فهماند، در آموختن کسور مدارج ذیل را ملحوظ باید داشت:-\n(۱) جمع و تفریق اینقسم کسور که نسب نمای شان عدد مشترک باشد،\nمثلاً ۱/۶ + ۳/۶\n(۲) جمع و تفریق آن کسور که هم مخرج کردن نسب نمائشان ضرور باشد\nمثلا ۱/۲ + ۱/۳ = ۱x۳ / ۲x۳ + ۱x۲ / ۳x۲ = ۳/۶ + ۲/۶ = ۵/۶\nدرین شکل اگر ا ب احد را تعبیر کند پس\nا س = ۱/۳\nا د = ۱/۲\nا ر = ۱/۶\nو ی = ۲/۶\nو د = ۳/۶\nا د + و ی ۵/۶ را تعبیر خواهد کرد.\n(۳) عمل آخری جمع و تفریق\nتفریق\nپارچه طولانی تر ظاهر میکند که فرق ۱/۲ و ۵/۶ = ۱/۱۲ میباشد\nپس طلاب را بفهمانید که تفریق اینطور کرده میشود، که اول ذو اضعاف اقل","chars":543,"image":"https://storage.googleapis.com/adl-page-images/adl0938/00498.jpg","first_page":1,"last_page":719,"title":"ʻIlm al-taʻalīm عالم التعليم","permalink":"https://afghanpress.org/book/adl0938/498","canvas":"https://afghanpress.org/iiif/adl0938/canvas/498","source":"https://afghanistandl.nyu.edu/books/adl0938/","source_pdf":"https://afghanistandl.nyu.edu/pdf/adl0938_download.pdf","rights":{"image":{"statement":"Public domain. NYU states: \"All works presented on this website are, unless otherwise indicated, in the public domain. The images available on this website may be freely reproduced, distributed and transmitted by anyone for any purpose, commercial or non-commercial.\"","uri":"http://rightsstatements.org/vocab/NoC-US/1.0/","holder":"New York University Libraries","source":"https://afghanistandl.nyu.edu/about.html","delivery":"Images are served from a copy mirrored by this project, not from NYU's servers, under the reproduction terms above.","endorsement":"This is an independent project. It is not affiliated with, endorsed by, or reviewed by New York University."},"text":{"statement":"Machine-generated transcription, dedicated to the public domain under CC0 1.0. No warranty of accuracy: see the provenance block on every page.","uri":"https://creativecommons.org/publicdomain/zero/1.0/","holder":"Steps Ventures"}},"provenance":{"text_produced_by":"gemini-3.1-pro-preview","thinking_level":"low","read_completed":"2026-08-09","per_page_confidence":null,"per_page_confidence_note":"Not recorded during the corpus run. No calibrated per-page score exists, and none is estimated here.","human_reviewed":false,"accuracy_context":"Roughly two thirds of characters agree with a modern printed edition of the same text. Much of the disagreement is editorial, not misreading. Treat the transcription as a finding aid and read the page image before quoting.","primary_source":"The page image. The text is an index into it."}}