{"id":96,"date":"2015-01-29T19:53:16","date_gmt":"2015-01-29T19:53:16","guid":{"rendered":"https:\/\/www.learningwithkayla.org\/?page_id=96"},"modified":"2015-01-29T19:53:16","modified_gmt":"2015-01-29T19:53:16","slug":"answers-to-book-1-problems","status":"publish","type":"page","link":"https:\/\/www.learningwithkayla.org\/?page_id=96","title":{"rendered":"Answers to Book 1 Problems"},"content":{"rendered":"<p>Answers<\/p>\n<p>1. \u00a0 \u00a0 [pmath]1\/6[\/pmath] +\u00a0 [pmath]3\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]4\/6[\/pmath] , \u00a0 \u00a0 \u00a0 \u00a0\u00a0 [pmath]6\/6[\/pmath] &#8211; \u00a0 [pmath]4\/6[\/pmath]\u00a0 = \u00a0 [pmath]2\/6[\/pmath]<\/p>\n<p>2.\u00a0\u00a0\u00a0\u00a0 [pmath]4\/8[\/pmath] +\u00a0 [pmath]1\/8[\/pmath] = \u00a0 [pmath]5\/8[\/pmath], \u00a0 \u00a0 \u00a0 \u00a0\u00a0 [pmath]8\/8[\/pmath] &#8211;\u00a0 [pmath]5\/8[\/pmath] =\u00a0 [pmath]3\/8[\/pmath]<\/p>\n<p>3.\u00a0\u00a0\u00a0 [pmath]3\/8[\/pmath] +\u00a0 [pmath]4\/8[\/pmath] =\u00a0 [pmath]7\/8[\/pmath] , \u00a0 \u00a0 \u00a0\u00a0 [pmath]8\/8[\/pmath] &#8211;\u00a0 [pmath]7\/8[\/pmath] =\u00a0 [pmath]1\/8[\/pmath]<\/p>\n<p>4.\u00a0\u00a0\u00a0 [pmath]2\/12[\/pmath] +\u00a0 [pmath]4\/12[\/pmath] +\u00a0 [pmath]5\/12[\/pmath] =\u00a0 [pmath]11\/12[\/pmath] ,\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 [pmath]12\/12[\/pmath] &#8211;\u00a0 [pmath]11\/12[\/pmath] =\u00a0 [pmath]1\/12[\/pmath]<\/p>\n<p>5a. \u00a0 [pmath]5\/8[\/pmath]\u00a0\u00a0\u00a0\u00a0 5b. \u00a0 [pmath]2\/8[\/pmath]\u00a0\u00a0\u00a0\u00a0 5c. \u00a0 [pmath]3\/8[\/pmath]\u00a0\u00a0\u00a0\u00a0 5d. \u00a0 [pmath]4\/12[\/pmath]<\/p>\n<p>5e.\u00a0\u00a0 [pmath]14\/14[\/pmath] = 1\u00a0\u00a0\u00a0\u00a0 5f.\u00a0\u00a0 [pmath]6\/7[\/pmath]\u00a0\u00a0\u00a0 5g.\u00a0\u00a0 [pmath]3\/5[\/pmath]\u00a0\u00a0\u00a0\u00a0 5h.\u00a0\u00a0 [pmath]5\/12[\/pmath]<\/p>\n<p>5i.\u00a0\u00a0 [pmath]9\/10[\/pmath]\u00a0\u00a0\u00a0\u00a0 5j.\u00a0\u00a0 [pmath]3\/12[\/pmath]\u00a0\u00a0\u00a0\u00a0 5k.\u00a0\u00a0 [pmath]3\/10[\/pmath]\u00a0\u00a0\u00a0\u00a0 5l.\u00a0\u00a0 [pmath]4\/12[\/pmath]<\/p>\n<p>Did you notice that 5b is the inverse of 5a? Inverses \u201cundo\u201d each other. That sounds funny, so let me explain: In 5a, you added two-eighths to three-eighths to get five-eighths. In 5b, you took the answer to 5a (five-eighths) and subtracted one of the things you added (three-eighths) to get the other thing you added (two-eighths). So we can say that 5b \u201cundid\u201d 5a. That\u2019s pretty cool, isn\u2019t it? I\u2019ve got a lot more cool stuff in my other books. Oh, in my next book, you\u2019ll meet my friend, Cleveland. He\u2019s cool, too!<\/p>\n","protected":false},"excerpt":{"rendered":"<p>Answers 1. \u00a0 \u00a0 [pmath]1\/6[\/pmath] +\u00a0 [pmath]3\/6[\/pmath]\u00a0 =\u00a0\u00a0 [pmath]4\/6[\/pmath] , \u00a0 \u00a0 \u00a0 \u00a0\u00a0 [pmath]6\/6[\/pmath] &#8211; \u00a0 [pmath]4\/6[\/pmath]\u00a0 = \u00a0 [pmath]2\/6[\/pmath] 2.\u00a0\u00a0\u00a0\u00a0 [pmath]4\/8[\/pmath] +\u00a0 [pmath]1\/8[\/pmath] = \u00a0 [pmath]5\/8[\/pmath], \u00a0 \u00a0 \u00a0 \u00a0\u00a0 [pmath]8\/8[\/pmath] &#8211;\u00a0 [pmath]5\/8[\/pmath] =\u00a0 [pmath]3\/8[\/pmath] 3.\u00a0\u00a0\u00a0 [pmath]3\/8[\/pmath] +\u00a0 [pmath]4\/8[\/pmath] =\u00a0 [pmath]7\/8[\/pmath] , \u00a0 \u00a0 \u00a0\u00a0 [pmath]8\/8[\/pmath] &#8211;\u00a0 [pmath]7\/8[\/pmath] =\u00a0 [pmath]1\/8[\/pmath] 4.\u00a0\u00a0\u00a0 [pmath]2\/12[\/pmath] +\u00a0 &hellip; <a href=\"https:\/\/www.learningwithkayla.org\/?page_id=96\" class=\"more-link\">Continue reading <span class=\"screen-reader-text\">Answers to Book 1 Problems<\/span> <span class=\"meta-nav\">&rarr;<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"open","ping_status":"open","template":"","meta":{"footnotes":""},"class_list":["post-96","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/96","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=96"}],"version-history":[{"count":10,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/96\/revisions"}],"predecessor-version":[{"id":109,"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=\/wp\/v2\/pages\/96\/revisions\/109"}],"wp:attachment":[{"href":"https:\/\/www.learningwithkayla.org\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=96"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}