[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"doc-seo-464303-105":3,"detail-sidebar-cat-0-en-105":81,"doc-detail-464303-en":130},{"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","using-units-rates-with-fractions-solve-each-problem","Using Units Rates with Fractions - Solve Each Problem","","Using units rates with fractions involves solving 10 word problems where quantities are given as mixed numbers and fractional relationships. Students compute unknown amounts by scaling unit rates, then express results as mixed numbers when possible. Scenarios include ink needed per ream of paper, sugar per cup of flour, spray volume for a lawn, water per fully filled bucket, filling tires with time, and thread, pencils, nails, syrup, and peanuts-to-jars conversions, with an answer key provided.",{"@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/using-units-rates-with-fractions-solve-each-problem/464303/",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/using-units-rates-with-fractions-solve-each-problem/464303.png","ImageObject",300,407,{"name":42,"@type":43},"Lucas Martin","Person",{"url":19,"name":45,"@type":46},"DocShare","Organization","application/pdf","2026-11-03","2026-09-30",true,{"@type":52,"interactionType":53,"userInteractionCount":55},"InteractionCounter",{"@type":54},"ViewAction",7,{"@type":57,"mainEntity":58},"FAQPage",[59,65,69],{"name":60,"@type":61,"acceptedAnswer":62},"What does it mean to use unit rates with fractions in these problems?","Question",{"text":63,"@type":64},"Each problem gives a fractional relationship between quantities, and the task is to scale up or down to find the needed amount. The unknown is found by finding the implied per-unit rate first and then applying it.","Answer",{"name":66,"@type":61,"acceptedAnswer":67},"How should answers be written?",{"text":68,"@type":64},"Answers should be given as mixed numbers whenever possible. The worksheet’s instructions specify this format for solutions.",{"name":70,"@type":61,"acceptedAnswer":71},"Are the problems presented with an answer key?",{"text":72,"@type":64},"Yes. The document includes an “Answer Key” section corresponding to the same set of unit-rate-and-fraction problems.","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},464303,1790768009,{"code":4,"msg":82,"data":83},"success",[84,88,92,95,100,105,109,114,119,122,126],{"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":55,"doc_module":4,"doc_module_name":25,"category_name":106,"show_sort_weight":107,"slug":108},"Healthcare",40,"healthcare",{"id":110,"doc_module":4,"doc_module_name":25,"category_name":111,"show_sort_weight":112,"slug":113},8,"Research & Report",30,"research-report",{"id":115,"doc_module":4,"doc_module_name":25,"category_name":116,"show_sort_weight":117,"slug":118},9,"Religion & Spirituality",20,"religion-spirituality",{"id":117,"doc_module":4,"doc_module_name":25,"category_name":120,"show_sort_weight":117,"slug":121},"World Cup","world-cup",{"id":123,"doc_module":4,"doc_module_name":25,"category_name":124,"show_sort_weight":123,"slug":125},10,"Lifestyle","lifestyle",{"id":127,"doc_module":4,"doc_module_name":25,"category_name":128,"show_sort_weight":96,"slug":129},19,"General","general",{"code":4,"msg":82,"data":131},{"doc_id":79,"user_id":132,"nickname":42,"user_avatar":133,"doc_module":4,"category_id":33,"category_name":29,"doc_title":10,"doc_description":12,"doc_content":134,"file_id":135,"file_url":136,"file_type":137,"file_size":138,"view_count":55,"is_deleted":4,"is_public":22,"is_downloadable":22,"audit_status":22,"page_count":30,"language":139,"language_code":8,"site_id":7,"html_lang":8,"table_of_contents":140,"faqs":141,"seo_title":142,"seo_description":12,"update_tm":80,"read_time":110},8796095360427,"https://ap-avatar.wpscdn.com/davatar_994ba38a5ba835b3df7d355c54d3ed8d","Using Units Rates with Fractions  \nName:  \n\n| Solve each problem. Answer as a mixed number (if possible).\u003Cbr>1) A printer cartridge with 3 2⁄ 3 milliliters of ink will print off 2 2⁄ 4 reams of paper. How many milliliters of ink will it take to print 5 reams? |  |  |  |  |  | Answers\u003Cbr>\u003Cbr>1.   |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 2) | A cookie recipe called for 3 1⁄ 2 cups of sugar for every 5⁄ 6 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need? |  |  |  |  | 2.\u003Cbr>3. |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | A container with 3 1⁄ 5 liters of weed killer can spray 1⁄ 4 of a lawn. How many liters would it take to spray 1 entire lawn? |  |  |  |  | 4.\u003Cbr>5. |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 4) | A bucket of water was 1⁄ 2 full, but it still had 2 4⁄ 5 gallons of water in it. How much water would be in one fully filled bucket? |  |  |  |  | 6.\u003Cbr>7. |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 5) | A tire shop had to fill 2 1⁄ 2 tires with air. It took a small air compressor 3 1⁄ 3 seconds to fill them up. How long would it take to fill 9 tires? |  |  |  |  | 8.\u003Cbr>9. |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 6) | It takes 2 1⁄ 2 yards of thread to make 4⁄ 6 of a sock. How many yards of thread will it take to make an entire sock? |  |  |  |  | 10. |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |\n| 7) | A machine made 2 2⁄ 3 pencils in 2 1⁄ 4 minutes. How many pencils would the machine have made after 5 minutes? |  |  |  |  |  |  |  |  |  |  |\n| 8) | A carpenter goes through 2 4⁄ 5 boxes of nails finishing 3 1⁄ 3 rooves. How much would he use finishing 4 rooves? |  |  |  |  |  |  |  |  |  |  |\n| 9) | It takes 3 1⁄ 4 spoons of chocolate syrup to make 2 1⁄ 5 gallons of chocolate milk. How many spoons of syrup would it take to make 3 gallons of chocolate milk? |  |  |  |  |  |  |  |  |  |  |\n| 10) | A bag with 3 4⁄ 6 quarts of peanuts can make 2 3⁄ 6jars of peanut butter. How many quarts of peanuts would you need to make 5 jars? |  |  |  |  |  |  |  |  |  |  |\n| 1-10 |  | 90 | 80 | 70 | 60 | 50 | 40 | 30 | 20 | 10 | 0 |\n\n[Math](Math www.CommonCoreSheets.com 1)[ www.CommonCoreSheets.com](Math www.CommonCoreSheets.com 1)[ 1](Math www.CommonCoreSheets.com 1)  \nUsing Units Rates with Fractions  \nName: Answer Key  \n\n| Solve each problem. Answer as a mixed number (if possible). |  |  |  |  |  | 1.\u003Cbr>2. |  |  | Answers\u003Cbr>7 ~~ ~~1300~~ ~~ |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| 1) | A printer cartridge with 3 2⁄ 3 milliliters of ink will print off 2 2⁄ 4 reams of paper. How many milliliters of ink will it take to print 5 reams? |  |  |  |  |  |  |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 4 ~~ ~~120~~ ~~ |  |  |  |  |\n| 2) | A cookie recipe called for 3 1⁄ 2 cups of sugar for every 5⁄ 6 cup of flour. If you made a batch of cookies using 1 cup of flour, how many cups of sugar would you need? |  |  |  |  | 3.\u003Cbr>4. |  |  | 12 ~~ ~~45~~ ~~ |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 5 ~~ ~~35~~ ~~ |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |  |  |  |  |\n| 3) | A container with 3 1⁄ 5 liters of weed killer can spray 1⁄ 4 of a lawn. How many liters would it take to spray 1 entire lawn? |  |  |  |  | 5.\u003Cbr>6. |  |  | 12 ~~ ~~105~~ ~~ |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 3 ~~ ~~68~~ ~~ |  |  |  |  |\n| 4) | A bucket of water was 1⁄ 2 full, but it still had 2 4⁄ 5 gallons of water in it. How much water would be in one fully filled bucket? |  |  |  |  | 7.\u003Cbr>8. |  |  | 5 ~~ ~~2257~~ ~~ |  |  |  |  |\n|  |  |  |  |  |  |  |  |  | 3 ~~ ~~1580~~ ~~ |  |  |  |  |\n| 5) | A tire shop had to fill 2 1⁄ 2 tires with air. It took a small air compressor","cbCaigOnLyfchr3r","https://ap.wps.com/l/cbCaigOnLyfchr3r","pdf",48834,"English","# Solve Each Problem\n## Printer cartridge ink and paper\n## Cookie recipe sugar and flour\n## Weed killer volume per lawn\n## Water in a fully filled bucket\n## Tire filling time and number of tires\n## Thread for an entire sock\n## Pencil production over time\n## Nail boxes and roofing jobs\n## Chocolate syrup and chocolate milk\n## Peanuts and peanut butter jars","[{\"question\":\"What does it mean to use unit rates with fractions in these problems?\",\"answer\":\"Each problem gives a fractional relationship between quantities, and the task is to scale up or down to find the needed amount. The unknown is found by finding the implied per-unit rate first and then applying it.\"},{\"question\":\"How should answers be written?\",\"answer\":\"Answers should be given as mixed numbers whenever possible. The worksheet’s instructions specify this format for solutions.\"},{\"question\":\"Are the problems presented with an answer key?\",\"answer\":\"Yes. The document includes an “Answer Key” section corresponding to the same set of unit-rate-and-fraction problems.\"}]","Using Units Rates with Fractions - Solve Each Problem | PDF"]