{"id":7087,"date":"2017-05-08T23:40:11","date_gmt":"2017-05-08T23:40:11","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/prealgebra\/?post_type=chapter&#038;p=7087"},"modified":"2024-04-30T16:33:53","modified_gmt":"2024-04-30T16:33:53","slug":"decimals-and-fractions","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/wm-developmentalemporium\/chapter\/decimals-and-fractions\/","title":{"raw":"Introduction to Exploring the Relationship Between Decimals and Fractions","rendered":"Introduction to Exploring the Relationship Between Decimals and Fractions"},"content":{"raw":"<h2>What you'll learn to do: Understand the relationship between decimals and fractions<\/h2>\r\n[caption id=\"attachment_13058\" align=\"aligncenter\" width=\"960\"]<a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23174044\/chicken-coop-343942_960_720.jpg\"><img class=\"wp-image-13058 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23174044\/chicken-coop-343942_960_720.jpg\" alt=\"A chicken coop made of wood, wire, and corrugated metal, with six chickens inside\" width=\"960\" height=\"660\" \/><\/a> How many rolls of wire does Lucy need to build her chicken coop?[\/caption]\r\n\r\nLucy wants to build a new chicken coop in her backyard. She calculates that she needs 12 1\/4 feet of wire for fencing. At the hardware store, Lucy discovers that the wire comes in rolls measuring 3.5 feet in length each. How many rolls of wire does Lucy need to buy? To determine this, she'll need to convert the fraction in her measurement to a decimal before she can divide the amount of wire she needs by the amount of wire per role. In this section, you'll learn how to convert fractions to decimals and simplify expressions using the order of operations.\r\n\r\nBefore you get started, take this readiness quiz.\r\n<div class=\"textbox examples\">\r\n<h3>readiness quiz<\/h3>\r\n1)\r\n\r\n[ohm_question]146600[\/ohm_question]\r\n\r\nIf you missed this problem, review the video below.\r\n\r\nhttps:\/\/youtu.be\/LkbSiL6uvtU\r\n\r\n2)\r\n\r\n[ohm_question]146232[\/ohm_question]\r\n\r\n3)\r\n\r\n[ohm_question]146239[\/ohm_question]\r\n\r\nIf you missed either of these problems, review the following video.\r\n\r\nhttps:\/\/youtu.be\/fjO3fnt3ABA\r\n\r\n<\/div>","rendered":"<h2>What you&#8217;ll learn to do: Understand the relationship between decimals and fractions<\/h2>\n<div id=\"attachment_13058\" style=\"width: 970px\" class=\"wp-caption aligncenter\"><a href=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23174044\/chicken-coop-343942_960_720.jpg\"><img loading=\"lazy\" decoding=\"async\" aria-describedby=\"caption-attachment-13058\" class=\"wp-image-13058 size-full\" src=\"https:\/\/s3-us-west-2.amazonaws.com\/courses-images\/wp-content\/uploads\/sites\/277\/2017\/05\/23174044\/chicken-coop-343942_960_720.jpg\" alt=\"A chicken coop made of wood, wire, and corrugated metal, with six chickens inside\" width=\"960\" height=\"660\" \/><\/a><\/p>\n<p id=\"caption-attachment-13058\" class=\"wp-caption-text\">How many rolls of wire does Lucy need to build her chicken coop?<\/p>\n<\/div>\n<p>Lucy wants to build a new chicken coop in her backyard. She calculates that she needs 12 1\/4 feet of wire for fencing. At the hardware store, Lucy discovers that the wire comes in rolls measuring 3.5 feet in length each. How many rolls of wire does Lucy need to buy? To determine this, she&#8217;ll need to convert the fraction in her measurement to a decimal before she can divide the amount of wire she needs by the amount of wire per role. In this section, you&#8217;ll learn how to convert fractions to decimals and simplify expressions using the order of operations.<\/p>\n<p>Before you get started, take this readiness quiz.<\/p>\n<div class=\"textbox examples\">\n<h3>readiness quiz<\/h3>\n<p>1)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146600\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146600&theme=oea&iframe_resize_id=ohm146600&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed this problem, review the video below.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-1\" title=\"Example:  Dividing a Decimal by a Whole Number\" width=\"500\" height=\"281\" src=\"https:\/\/www.youtube.com\/embed\/LkbSiL6uvtU?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<p>2)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146232\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146232&theme=oea&iframe_resize_id=ohm146232&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>3)<\/p>\n<p><iframe loading=\"lazy\" id=\"ohm146239\" class=\"resizable\" src=\"https:\/\/ohm.lumenlearning.com\/multiembedq.php?id=146239&theme=oea&iframe_resize_id=ohm146239&show_question_numbers\" width=\"100%\" height=\"150\"><\/iframe><\/p>\n<p>If you missed either of these problems, review the following video.<\/p>\n<p><iframe loading=\"lazy\" id=\"oembed-2\" title=\"Decimal Notation:  Ordering Decimals\" width=\"500\" height=\"375\" src=\"https:\/\/www.youtube.com\/embed\/fjO3fnt3ABA?feature=oembed&#38;rel=0\" frameborder=\"0\" allowfullscreen=\"allowfullscreen\"><\/iframe><\/p>\n<\/div>\n\n\t\t\t <section class=\"citations-section\" role=\"contentinfo\">\n\t\t\t <h3>Candela Citations<\/h3>\n\t\t\t\t\t <div>\n\t\t\t\t\t\t <div id=\"citation-list-7087\">\n\t\t\t\t\t\t\t <div class=\"licensing\"><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Shared previously<\/div><ul class=\"citation-list\"><li>Chicken Coop. <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/pixabay.com\/p-343942\/?no_redirect\">https:\/\/pixabay.com\/p-343942\/?no_redirect<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/about\/cc0\">CC0: No Rights Reserved<\/a><\/em><\/li><li>Ex: Dividing a Decimal by a Whole Number. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com). <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/LkbSiL6uvtU\">https:\/\/youtu.be\/LkbSiL6uvtU<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Decimal Notation: Ordering Decimals. <strong>Authored by<\/strong>: James Sousa (Mathispower4u.com) . <strong>Located at<\/strong>: <a target=\"_blank\" href=\"https:\/\/youtu.be\/fjO3fnt3ABA\">https:\/\/youtu.be\/fjO3fnt3ABA<\/a>. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em><\/li><li>Question ID: 146232, 146239, 146600. <strong>Authored by<\/strong>: Lumen Learning. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: IMathAS Community License CC-BY + GPL<\/li><\/ul><div class=\"license-attribution-dropdown-subheading\">CC licensed content, Specific attribution<\/div><ul class=\"citation-list\"><li>Prealgebra. <strong>Provided by<\/strong>: OpenStax. <strong>License<\/strong>: <em><a target=\"_blank\" rel=\"license\" href=\"https:\/\/creativecommons.org\/licenses\/by\/4.0\/\">CC BY: Attribution<\/a><\/em>. <strong>License Terms<\/strong>: Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757<\/li><\/ul><\/div>\n\t\t\t\t\t\t <\/div>\n\t\t\t\t\t <\/div>\n\t\t\t <\/section>","protected":false},"author":21,"menu_order":14,"template":"","meta":{"_candela_citation":"[{\"type\":\"cc-attribution\",\"description\":\"Prealgebra\",\"author\":\"\",\"organization\":\"OpenStax\",\"url\":\"\",\"project\":\"\",\"license\":\"cc-by\",\"license_terms\":\"Download for free at http:\/\/cnx.org\/contents\/caa57dab-41c7-455e-bd6f-f443cda5519c@9.757\"},{\"type\":\"cc\",\"description\":\"Chicken Coop\",\"author\":\"\",\"organization\":\"\",\"url\":\"https:\/\/pixabay.com\/p-343942\/?no_redirect\",\"project\":\"\",\"license\":\"cc0\",\"license_terms\":\"\"},{\"type\":\"cc\",\"description\":\"Ex: Dividing a Decimal by a Whole Number\",\"author\":\"James Sousa 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