[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-360023-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-360023-en":131},{"code":4,"msg":5,"data":6},0,"ok",{"site_id":7,"language":8,"slug":9,"title":10,"keywords":11,"description":12,"schema_data":13,"social_meta":74,"head_meta":76,"extra_data":78,"updated_unix":80},105,"en","unit-rates-with-fractions-b","Unit Rates with Fractions ( B)","","Worksheet on finding unit rates involving fractions. Students compute a unit rate for multiple real-world contexts such as distance traveled per time, money per weight, laps per hour, and volume per batch duration, including mixed numbers and fractional units. A challenge problem uses a cyclist’s fractional miles per fractional hour, requiring parts (a) miles per hour, (b) distance in 3 hours, and (c) time to ride 10 miles. An answer key provides the division setup and simplified results.",{"@graph":14,"@context":73},[15,34,56],{"@type":16,"itemListElement":17},"BreadcrumbList",[18,23,27,31],{"item":19,"name":20,"@type":21,"position":22},"https://docshare.wps.com","Home","ListItem",1,{"item":24,"name":25,"@type":21,"position":26},"https://docshare.wps.com/document/","Document",2,{"item":28,"name":29,"@type":21,"position":30},"https://docshare.wps.com/document/exam/","Exam",3,{"item":32,"name":10,"@type":21,"position":33},"https://docshare.wps.com/document/unit-rates-with-fractions-b/360023/",4,{"url":32,"name":10,"@type":35,"image":36,"author":41,"headline":10,"publisher":44,"fileFormat":47,"inLanguage":8,"description":12,"dateModified":48,"datePublished":49,"encodingFormat":47,"isAccessibleForFree":50,"interactionStatistic":51},"DigitalDocument",{"url":37,"@type":38,"width":39,"height":40},"https://docshare.wps.com/thumbnails/unit-rates-with-fractions-b/360023.png","ImageObject",300,407,{"name":42,"@type":43},"Riley West","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-10-29","2026-09-23",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",15,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does “unit rate” mean on this worksheet?","Question",{"text":63,"@type":64},"Unit rate is the amount per one unit of the second quantity, such as miles per hour. Each problem asks for that rate using the given fractional quantities.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How are the unit rates calculated in these problems?",{"text":68,"@type":64},"Students divide the first quantity by the second quantity (e.g., miles ÷ hour). The answer key often rewrites division by fractions as multiplication by the reciprocal.",{"name":70,"@type":61,"acceptedAnswer":71},"What are the three parts of the cyclist challenge problem?",{"text":72,"@type":64},"a) Find miles per hour, b) find how far the cyclist rides in 3 hours, and c) determine how long it takes to ride 10 miles at the same rate.","https://schema.org",{"og:url":32,"og:type":75,"og:title":10,"og:site_name":45,"og:description":12},"article",{"robots":77,"canonical":32},"index,follow",{"doc_id":79,"site_id":7},360023,1790240276,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,110,115,120,123,127],{"id":22,"doc_module":4,"doc_module_name":25,"category_name":85,"show_sort_weight":86,"slug":87},"Story & Novel",90,"story-novel",{"id":26,"doc_module":4,"doc_module_name":25,"category_name":89,"show_sort_weight":90,"slug":91},"Literature",80,"literature",{"id":33,"doc_module":4,"doc_module_name":25,"category_name":29,"show_sort_weight":93,"slug":94},70,"exam",{"id":96,"doc_module":4,"doc_module_name":25,"category_name":97,"show_sort_weight":98,"slug":99},5,"Comic",60,"comic",{"id":101,"doc_module":4,"doc_module_name":25,"category_name":102,"show_sort_weight":103,"slug":104},6,"Technology",50,"technology",{"id":106,"doc_module":4,"doc_module_name":25,"category_name":107,"show_sort_weight":108,"slug":109},7,"Healthcare",40,"healthcare",{"id":111,"doc_module":4,"doc_module_name":25,"category_name":112,"show_sort_weight":113,"slug":114},8,"Research & Report",30,"research-report",{"id":116,"doc_module":4,"doc_module_name":25,"category_name":117,"show_sort_weight":118,"slug":119},9,"Religion & Spirituality",20,"religion-spirituality",{"id":118,"doc_module":4,"doc_module_name":25,"category_name":121,"show_sort_weight":118,"slug":122},"World Cup","world-cup",{"id":124,"doc_module":4,"doc_module_name":25,"category_name":125,"show_sort_weight":124,"slug":126},10,"Lifestyle","lifestyle",{"id":128,"doc_module":4,"doc_module_name":25,"category_name":129,"show_sort_weight":96,"slug":130},19,"General","general",{"code":4,"msg":82,"data":132},{"doc_id":79,"user_id":133,"nickname":42,"user_avatar":134,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":26,"language":140,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":12,"update_tm":144,"read_time":96,"preview_page_count":4},1099523885074,"https://ap-avatar.wpscdn.com/davatar_9964176cb1d06d4a9deccf72a44ae3dc","Name:    \nUnit Rates with Fractions ( B)  \nDirections: Find the unit rate. Show your work.  \n1. 4 miles in 1/2 hour → unit rate =   8. 2⅔ gallons in 8 hours → unit rate =    \n2. $6 for 1/3 pound → unit rate =   9. 3/4 mile in 1/4 hour → unit rate =    \n3. 9 laps in 3/4 hour → unit rate =   10. 5/6 cup in 5/12 batch → unit rate =    \n4. 8 cups in 1⅓ hours → unit rate =   11. 7/8 mile in 1/8 hour → unit rate =    \n5. 2½ miles in 5 hours → unit rate =   12. 2¼ cups in ½ batch → unit rate =    \n6. 2¼ kg in 9 days → unit rate =   13. 2½ miles in ½ hour → unit rate =    \n7. 3⅓ miles in 5 hours → unit rate =   14. 2¾ cups in ¼ batch → unit rate =    \n15. Challenge Problem  \nA cyclist rides 5/6 mile every 1/6 hour.  \na) What is the unit rate in miles per hour?    \nb) How far will the cyclist ride in 3 hours at this rate?    \nc) How long will it take to ride 10 miles?    \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)  \nANSWER KEY  \nUnit Rates with Fractions  \n1.) 4 miles in 1/2 hour → 4 ÷ 1/2 = 4 × 2 = 8 = 8  \n2.) $6 for 1/3 pound → 6 ÷ 1/3 = 6 × 3 = 18 = 18  \n3.) 9 laps in 3/4 hour → 9 ÷ 3/4 = 9 × 4/3 = 12 = 12  \n4.) 8 cups in 1⅓ hours → 8 ÷ 4/3 = 8 × 3/4 = 6 = 6  \n5.) 2½ miles in 5 hours → 5/2 ÷ 5 = 1/2 = 1/2  \n6.) 2¼ kg in 9 days → 9/4 ÷ 9 = 1/4 = 1/4  \n7.) 3⅓ miles in 5 hours → 10/3 ÷ 5 = 2/3 = 2/3  \n8.) 2⅔ gallons in 8 hours → 8/3 ÷ 8 = 1/3 = 1/3  \n9.) 3/4 mile in 1/4 hour → 3/4 ÷ 1/4 = 3 = 3  \n10.) 5/6 cup in 5/12 batch → 5/6 ÷ 5/12 = 2 = 2  \n11.) 7/8 mile in 1/8 hour → 7/8 ÷ 1/8 = 7 = 7  \n12.) 2¼ cups in ½ batch → 9/4 ÷ 1/2 = 9/2 = 4 1/2  \n13.) 2½ miles in ½ hour → 5/2 ÷ 1/2 = 5 = 5  \n14.) 2¾ cups in ¼ batch → 11/4 ÷ 1/4 = 11 = 11  \n15.) Challenge Problem:  \na) 5 miles per hour (5/6 ÷ 1/6 = 5)  \nb) 15 miles (5 × 3 = 15)  \nc) 2 hours (10 ÷ 5 = 2)  \nMashup Math LLC | Al[l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com](l Rights Reserved | Get More K-12 Math Worksheets at www.mashupmath.com)","cbCaii9KYKKdddbT","https://ap.wps.com/l/cbCaii9KYKKdddbT","pdf",1121084,"English","# Unit Rates with Fractions (B)\n## Directions: Find the unit rate\n## Practice Problems 1-14\n## Challenge Problem","[{\"question\":\"What does “unit rate” mean on this worksheet?\",\"answer\":\"Unit rate is the amount per one unit of the second quantity, such as miles per hour. Each problem asks for that rate using the given fractional quantities.\"},{\"question\":\"How are the unit rates calculated in these problems?\",\"answer\":\"Students divide the first quantity by the second quantity (e.g., miles ÷ hour). The answer key often rewrites division by fractions as multiplication by the reciprocal.\"},{\"question\":\"What are the three parts of the cyclist challenge problem?\",\"answer\":\"a) Find miles per hour, b) find how far the cyclist rides in 3 hours, and c) determine how long it takes to ride 10 miles at the same rate.\"}]","Unit Rates with Fractions ( B) | PDF",1790138531]