To express the rational number 175\\frac{17}{5}517\u200b as the sum of an integer and a rational number, we begin by performing division<\/strong>.<\/p>\n\n\n\n We ask: How many times does 5 go into 17? Thus,175=3+25\\frac{17}{5} = 3 + \\frac{2}{5}517\u200b=3+52\u200b<\/p>\n\n\n\n 175=3+25\\frac{17}{5} = 3 + \\frac{2}{5}517\u200b=3+52\u200b<\/p>\n\n\n\n Any rational number written in the form of a fraction ab\\frac{a}{b}ba\u200b, where aaa and bbb are integers and b\u22600b \\neq 0b\ue020=0, can also be written as a mixed number<\/strong> or as the sum<\/strong> of a whole number and a proper fraction. This method makes it easier to interpret the value and location of the number on the number line.<\/p>\n\n\n\n In the case of 175\\frac{17}{5}517\u200b, we are dividing 17 into groups of 5. Since 5 fits into 17 three full times (because 5\u00d73=155 \\times 3 = 155\u00d73=15), we take the result 3 as the integer part. After accounting for those 15 units, we are left with 17\u221215=217 – 15 = 217\u221215=2 units. This remainder 2 is then written as a fraction of the original denominator: 25\\frac{2}{5}52\u200b. So the complete expression becomes:175=3+25\\frac{17}{5} = 3 + \\frac{2}{5}517\u200b=3+52\u200b<\/p>\n\n\n\n This method is often used in real-world contexts where it’s easier to understand or compare quantities in terms of whole units and leftover parts. For example, if a recipe calls for 175\\frac{17}{5}517\u200b cups of flour, it might be clearer to measure out 3 full cups and then an additional 25\\frac{2}{5}52\u200b cup.<\/p>\n\n\n\n Thus, expressing 175\\frac{17}{5}517\u200b as 3+253 + \\frac{2}{5}3+52\u200b helps to visualize and work with the number more effectively.<\/p>\n\n\n\n Express the following rational number as the sum of an integer and a rational number: (1) 17\/5 The Correct Answer and Explanation is: To express the rational number 175\\frac{17}{5}517\u200b as the sum of an integer and a rational number, we begin by performing division. Step 1: Divide 17 by 5 We ask: How many times […]<\/p>\n","protected":false},"author":1,"featured_media":0,"comment_status":"open","ping_status":"open","sticky":false,"template":"","format":"standard","meta":{"footnotes":""},"categories":[1],"tags":[],"class_list":["post-27729","post","type-post","status-publish","format-standard","hentry","category-quiz-questions"],"_links":{"self":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27729","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts"}],"about":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/types\/post"}],"author":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/comments?post=27729"}],"version-history":[{"count":1,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27729\/revisions"}],"predecessor-version":[{"id":27731,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/posts\/27729\/revisions\/27731"}],"wp:attachment":[{"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/media?parent=27729"}],"wp:term":[{"taxonomy":"category","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/categories?post=27729"},{"taxonomy":"post_tag","embeddable":true,"href":"https:\/\/gaviki.com\/blog\/wp-json\/wp\/v2\/tags?post=27729"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}Step 1: Divide 17 by 5<\/h3>\n\n\n\n
5\u00d73=155 \\times 3 = 155\u00d73=15
So, 5 goes into 17 three times, with a remainder<\/strong> of 2.<\/p>\n\n\n\nFinal Answer:<\/h3>\n\n\n\n
\n\n\n\nExplanation:<\/h3>\n\n\n\n
![\"\"](\"https:\/\/gaviki.com\/blog\/wp-content\/uploads\/2025\/06\/learnexams-banner8-175.jpeg\")
<\/figure>\n","protected":false},"excerpt":{"rendered":"