{"id":197,"date":"2022-06-16T16:54:26","date_gmt":"2022-06-16T16:54:26","guid":{"rendered":"https:\/\/courses.lumenlearning.com\/alphamodule\/?post_type=chapter&p=197"},"modified":"2022-06-16T16:54:42","modified_gmt":"2022-06-16T16:54:42","slug":"data-collection-and-organization-background-youll-need-2","status":"publish","type":"chapter","link":"https:\/\/courses.lumenlearning.com\/alphamodule\/chapter\/data-collection-and-organization-background-youll-need-2\/","title":{"raw":"Data Collection and Organization: Background You'll Need 2","rendered":"Data Collection and Organization: Background You’ll Need 2"},"content":{"raw":"

Simplifying Fractions<\/h3>\r\nFractions that are written differently, like [latex]\\frac{14}{24}[\/latex] and [latex]\\frac{7}{12}[\/latex] may have the same numerical value. There are a couple of ways to see this\u2014by removing common factors or by converting to decimals. Examples of both are shown below.\r\n\r\nRemoving common factors:\r\n

[latex]\\frac{14}{24}= \\frac{2 \\cdot7}{2 \\cdot 12}= \\frac{7}{12}[\/latex]<\/p>\r\nWhen we remove all the common factors from the numerator and denominator, we say we have reduced<\/strong> or simplified<\/strong> the fraction.\r\n\r\nConverting to decimals:\r\n

[latex]\\frac{14}{24}=0.5833[\/latex]<\/p>\r\n

[latex]\\frac{7}{12}=0.5833[\/latex]<\/p>\r\n\r\n

\r\n

Question 3<\/h3>\r\nPractice reducing, or simplifying, fractions:\r\n\r\n \r\n\r\nPart A: What proportion of the students has blue eyes? Give your answer as a simplified fraction and check your work by converting to decimals.\r\n\r\n[reveal-answer q=\"158448\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"158448\"]See the text above for a demonstration.[\/hidden-answer]\r\n\r\n \r\n\r\nPart B: What proportion of the students has green eyes? Give your answer as a simplified fraction and check your work by converting to decimals.\r\n\r\n[reveal-answer q=\"739894\"]Hint[\/reveal-answer]\r\n[hidden-answer a=\"739894\"]See the text above for a demonstration.[\/hidden-answer]\r\n\r\n<\/div>\r\nDid you feel comfortable working with the fractions in this support activity? If you feel you need more practice, you can visit the student resources\u00a0Equivalent Fractions<\/span> and Fractions, Decimals, Percentages<\/span> for additional support. It's time to move on to the\u00a0What to Know\u00a0<\/em>assignment for this section.","rendered":"

Simplifying Fractions<\/h3>\n

Fractions that are written differently, like [latex]\\frac{14}{24}[\/latex] and [latex]\\frac{7}{12}[\/latex] may have the same numerical value. There are a couple of ways to see this\u2014by removing common factors or by converting to decimals. Examples of both are shown below.<\/p>\n

Removing common factors:<\/p>\n

[latex]\\frac{14}{24}= \\frac{2 \\cdot7}{2 \\cdot 12}= \\frac{7}{12}[\/latex]<\/p>\n

When we remove all the common factors from the numerator and denominator, we say we have reduced<\/strong> or simplified<\/strong> the fraction.<\/p>\n

Converting to decimals:<\/p>\n

[latex]\\frac{14}{24}=0.5833[\/latex]<\/p>\n

[latex]\\frac{7}{12}=0.5833[\/latex]<\/p>\n

\n

Question 3<\/h3>\n

Practice reducing, or simplifying, fractions:<\/p>\n

 <\/p>\n

Part A: What proportion of the students has blue eyes? Give your answer as a simplified fraction and check your work by converting to decimals.<\/p>\n

Hint<\/span><\/p>\n
See the text above for a demonstration.<\/div>\n<\/div>\n

 <\/p>\n

Part B: What proportion of the students has green eyes? Give your answer as a simplified fraction and check your work by converting to decimals.<\/p>\n

Hint<\/span><\/p>\n
See the text above for a demonstration.<\/div>\n<\/div>\n<\/div>\n

Did you feel comfortable working with the fractions in this support activity? If you feel you need more practice, you can visit the student resources\u00a0Equivalent Fractions<\/span> and Fractions, Decimals, Percentages<\/span> for additional support. It’s time to move on to the\u00a0What to Know\u00a0<\/em>assignment for this section.<\/p>\n","protected":false},"author":17533,"menu_order":8,"template":"","meta":{"_candela_citation":"[]","CANDELA_OUTCOMES_GUID":"","pb_show_title":"on","pb_short_title":"","pb_subtitle":"","pb_authors":[],"pb_section_license":""},"chapter-type":[],"contributor":[],"license":[],"class_list":["post-197","chapter","type-chapter","status-publish","hentry"],"part":156,"_links":{"self":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/197","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters"}],"about":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/types\/chapter"}],"author":[{"embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/users\/17533"}],"version-history":[{"count":1,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/197\/revisions"}],"predecessor-version":[{"id":201,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/197\/revisions\/201"}],"part":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/parts\/156"}],"metadata":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapters\/197\/metadata\/"}],"wp:attachment":[{"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/media?parent=197"}],"wp:term":[{"taxonomy":"chapter-type","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/pressbooks\/v2\/chapter-type?post=197"},{"taxonomy":"contributor","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/contributor?post=197"},{"taxonomy":"license","embeddable":true,"href":"https:\/\/courses.lumenlearning.com\/alphamodule\/wp-json\/wp\/v2\/license?post=197"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}