[{"data":1,"prerenderedAt":-1},["ShallowReactive",2],{"detail-sidebar-cat-0-en-105":3,"doc-seo-294549-105":59,"doc-detail-294549-en":131},{"code":4,"msg":5,"data":6},0,"success",[7,13,18,23,28,33,38,43,48,51,55],{"id":8,"doc_module":4,"doc_module_name":9,"category_name":10,"show_sort_weight":11,"slug":12},1,"Document","Story & Novel",90,"story-novel",{"id":14,"doc_module":4,"doc_module_name":9,"category_name":15,"show_sort_weight":16,"slug":17},2,"Literature",80,"literature",{"id":19,"doc_module":4,"doc_module_name":9,"category_name":20,"show_sort_weight":21,"slug":22},4,"Exam",70,"exam",{"id":24,"doc_module":4,"doc_module_name":9,"category_name":25,"show_sort_weight":26,"slug":27},5,"Comic",60,"comic",{"id":29,"doc_module":4,"doc_module_name":9,"category_name":30,"show_sort_weight":31,"slug":32},6,"Technology",50,"technology",{"id":34,"doc_module":4,"doc_module_name":9,"category_name":35,"show_sort_weight":36,"slug":37},7,"Healthcare",40,"healthcare",{"id":39,"doc_module":4,"doc_module_name":9,"category_name":40,"show_sort_weight":41,"slug":42},8,"Research & Report",30,"research-report",{"id":44,"doc_module":4,"doc_module_name":9,"category_name":45,"show_sort_weight":46,"slug":47},9,"Religion & Spirituality",20,"religion-spirituality",{"id":46,"doc_module":4,"doc_module_name":9,"category_name":49,"show_sort_weight":46,"slug":50},"World Cup","world-cup",{"id":52,"doc_module":4,"doc_module_name":9,"category_name":53,"show_sort_weight":52,"slug":54},10,"Lifestyle","lifestyle",{"id":56,"doc_module":4,"doc_module_name":9,"category_name":57,"show_sort_weight":24,"slug":58},19,"General","general",{"code":4,"msg":60,"data":61},"ok",{"site_id":62,"language":63,"slug":64,"title":65,"keywords":66,"description":67,"schema_data":68,"social_meta":124,"head_meta":126,"extra_data":128,"updated_unix":130},105,"en","asvab-math-cram-sheet-metric-conversions-fractions","ASVAB Math Cram Sheet - Metric Conversions - Fractions","","ASVAB Math Cram Sheet provides a compact set of math reference rules and conversion tables covering mathematical symbols, ratios and proportions, metric conversions, measurement conversions (distance, capacity, weight, and temperature), and core fraction operations. It includes guidance for adding and subtracting fractions with different or same denominators, multiplying and dividing fractions, converting mixed numbers, and converting between percents, fractions, and decimals. The sheet also summarizes PEMDAS and key rules of exponents to support quick problem solving.",{"@graph":69,"@context":123},[70,84,106],{"@type":71,"itemListElement":72},"BreadcrumbList",[73,77,79,82],{"item":74,"name":75,"@type":76,"position":8},"https://docshare.wps.com","Home","ListItem",{"item":78,"name":9,"@type":76,"position":14},"https://docshare.wps.com/document/",{"item":80,"name":20,"@type":76,"position":81},"https://docshare.wps.com/document/exam/",3,{"item":83,"name":65,"@type":76,"position":19},"https://docshare.wps.com/document/asvab-math-cram-sheet-metric-conversions-fractions/294549/",{"url":83,"name":65,"@type":85,"image":86,"author":91,"headline":65,"publisher":94,"fileFormat":97,"inLanguage":63,"description":67,"dateModified":98,"datePublished":99,"encodingFormat":97,"isAccessibleForFree":100,"interactionStatistic":101},"DigitalDocument",{"url":87,"@type":88,"width":89,"height":90},"https://docshare.wps.com/thumbnails/asvab-math-cram-sheet-metric-conversions-fractions/294549.png","ImageObject",300,407,{"name":92,"@type":93},"Ben Jamin","Person",{"url":74,"name":95,"@type":96},"DocShare","Organization","application/pdf","2026-10-20","2026-09-18",true,{"@type":102,"interactionType":103,"userInteractionCount":105},"InteractionCounter",{"@type":104},"ViewAction",11,{"@type":107,"mainEntity":108},"FAQPage",[109,115,119],{"name":110,"@type":111,"acceptedAnswer":112},"What do the common mathematical symbols on the sheet mean?","Question",{"text":113,"@type":114},"The sheet maps phrases such as equal, times, divided by, plus, and subtracted from to symbols like =, ×, ÷, +, and −.","Answer",{"name":116,"@type":111,"acceptedAnswer":117},"How are metric conversions performed according to the sheet?",{"text":118,"@type":114},"Metric units are treated as powers of 10: to convert to a larger unit, divide by the base of 10s; to convert to a smaller unit, multiply by the base of 10s.",{"name":120,"@type":111,"acceptedAnswer":121},"What are the steps for adding or subtracting fractions with different denominators?",{"text":122,"@type":114},"Convert to equivalent fractions using a common denominator via a scale factor, then add or subtract using the same-denominator rules (combine numerators over the common denominator) and simplify if possible.","https://schema.org",{"og:url":83,"og:type":125,"og:title":65,"og:site_name":95,"og:description":67},"article",{"robots":127,"canonical":83},"index,follow",{"doc_id":129,"site_id":62},294549,1789691363,{"code":4,"msg":5,"data":132},{"doc_id":129,"user_id":133,"nickname":92,"user_avatar":134,"doc_module":4,"category_id":19,"category_name":20,"doc_title":65,"doc_description":67,"doc_content":135,"file_id":136,"file_url":137,"file_type":138,"file_size":139,"view_count":105,"is_deleted":4,"is_public":8,"is_downloadable":8,"audit_status":8,"page_count":105,"language":140,"language_code":63,"site_id":62,"html_lang":63,"table_of_contents":141,"faqs":142,"seo_title":143,"seo_description":67,"update_tm":130,"read_time":144},2336478466772,"https://ap-avatar.wpscdn.com/davatar_3d24733baf745e90a7e4bdd5f77d97b2","ASVAB MATH CRAM SHEET  \nMATHEMATICAL SYMBOLS  \n\n| Phrase | Symbol |\n| --- | --- |\n| equal, is, was, will be, has, costs, gets to, is the same as, becomes | = |\n| times, of, multiplied by, product of, twice, doubles, halves, triples | × |\n| divided by, per, ratio of/to, out of | ÷ |\n| plus, added to, sum, combined, and, more than, totals of | + |\n| subtracted from, less than, decreased by, minus, difference between | − |\n| what, how much, original value, how many, a number, a variable | 􀀛, n, etc. |\n\nLesser Known Symbols  \nThe Golden Ratio: φ  \nInifinity: ∞  \nEuler’s Number: e Universal Quantifier: ∀  \nMembership Sign: ∈  \nRATIOS AND PROPORTIONS  \nRatios of Two Items  \n\n| Items | Ratio | Fraction | Written | Simplified Ratio |\n| --- | --- | --- | --- | --- |\n| 6 oranges, 8 apples | 6:8 | 6/8 | 6 oranges to 8 apples | 3:4 |\n| 8 trains, 14 cars | 8:14 | 8/14 | 8 trains to 14 cars | 4:7 |\n| 4 feet, 3 feet | 4:3 | 4/3 | 4 feet to 3 feet | 4:3 |\n\n\n| Ratios |  |  |  |  |\n| --- | --- | --- | --- | --- |\n|  | Part to part |  | Part to whole |  |\n|  | 2:1 | 1:2 | 2:3 | 1:3 |\n|  | 2/1 | 1/2 | 2/3 | 1/3 |\n|  | 2 to 1 | 1 to 2 | 2 to 3 | 1 to 3 |\n\n\n| Proportions |  |  |  |  |  |  |  |  |  |\n| --- | --- | --- | --- | --- | --- | --- | --- | --- | --- |\n| | 3:4 | = | 6:8 |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n|  | 3:4 | :: | 6:8 |  |  |  |  |  |  |\n|  |  |  |  | |  |  |  |  |  |\n|  | 3 is to 4 | as | 6 is to 8 |  |  |  |  |  |  |\n|  |  |  |  |  |  |  |  |  |  |\n\n\n| Calculating Proportions |  |  |\n| --- | --- | --- |\n| 6\u003Cbr>2 | = | 12\u003Cbr>? |\n| \u003Cbr>24 6\u003Cbr>÷6\u003Cbr>\u003Cbr>6\u003Cbr>=\u003Cbr>2\u003Cbr>4 = x\u003Cbr>|  |  |\n| 6 12\u003Cbr>~~ ~~ = ~~ ~~\u003Cbr>2 4 |  |  |\n\nASVAB MATH CRAM SHEET  \nMETRIC CONVERSIONS  \nMetric units are multiples of 10s. To convert to a larger unit, divide numbers by base of 10s. To convert to a smaller unit, multiply numbers by base of 10s.  \nKing  \nkilo  \n1,000.0  \n(103)  \nHenry  \nhecto  \nDied  \ndeca  \n100.0 10.0  \n(102) (101)  \n1.0 0.1 0.01 0.001  \n(100) (10-1) (10-2) (10-3)  \nlarger units smaller units  \nTime Conversions  \n1 minute = 60 seconds  \n1 hour = 60 minutes  \n1 day = 24 hours  \n1 week = 7 days  \n1 year ≈ 52 weeks  \n1 year = 365 days (366 in leap year)  \nMetric Units of Volume  \n1 liter (L) = 1,000 milliliters (mL)  \n1 milliliter (mL) = 1 cubic centimeter (cm³)  \nMetric Units of Distance  \n1 kilometer (km) = 1,000 meters (m)  \n1 meter (m) = 100 centimeters (cm)  \n1 centimeter (cm) = 10 millimeters (mm)  \nConvert 12 kilometers to centimeters  \n12 kilometers ×  \n×  \n 100 cm  = 1,200,000 cm  \n1 m  \nMetric Units of Mass  \n1 kilogram (kg) = 1,000 grams (g)  \n1 gram (g) = 1,000 milligrams (mg)  \nMEASUREMENT CONVERSIONS  \nDISTANCE  \n1 ft = 12 in  \n1 in = 2.54 cm  \n1 yd = 3 ft  \n1 m ≈ 3.28 ft ≈ 1.09 yd  \n1 mi = 5,280 ft ≈ 1.61 km  \n\n| CAPACITY\u003Cbr>1 oz ≈ 28.35 g\u003Cbr>1 cup = 8 oz\u003Cbr>2 cups = 1 pint\u003Cbr>2 pints = 1 quart\u003Cbr>4 quarts= 1 gallon\u003Cbr>1 gallon ≈ 3.8 L | WEIGHT\u003Cbr>1 lb = 16 oz\u003Cbr>1 kg ≈ 2.2 lb ≈ 35.27 oz\u003Cbr>1 t = 2,000 lb ≈ 907.19 kg |\n| --- | --- |\n\nTEMPERATURE  \n°F = ~~ ~~95~~ ~~ (°C) + 32  \n°C = ~~ ~~95~~ ~~ (°F)– 32  \nASVAB MATH CRAM SHEET  \nFRACTIONS  \n\n| Proper Fraction\u003Cbr> 1  Numerator is less than\u003Cbr>8 the denominator | Improper Fraction\u003Cbr> 8  Numerator is greater\u003Cbr>3 than the denominator | Mixed Number\u003Cbr>3 ~~ ~~18~~ ~~ Whproople numer fractbieor an tnodgether |\n| --- | --- | --- |\n\nAdd or subtract fractions with different denominators  \n1. Change to equivalent fractions with common denominators using a scale factor  \n2. Add or subtract following the rules for fractions with the same denominators  \nA  \n+  \nC  \n=  \nAD  \n+  \nBC  \n=  \nAD + BC  \nB D BD BD BD  \nA  \n-  \nC  \n=  \nAD  \n-  \nBC  \nAD-BC  \n=   \nB D BD BD BD  \nAdd or subtract fractions with the same denominators  \n1. Add or subtract the numerators  \n2. Keep the denominator the same  \n3. Simplify if possible  \nA  \n+  \nC  \n=  \nA + C  \nB B B  \nA C A-C  \n -  =   \nB B B  \n\n| Multiply fractions\u003Cbr>1. Multiply the numerators\u003Cbr>2. Multiply the denominators\u003Cbr>3. Simplify","cbCairrQq3o0KwIC","https://ap.wps.com/l/cbCairrQq3o0KwIC","pdf",3490908,"English","# Mathematical Symbols\n# Ratios and Proportions\n# Metric Conversions\n# Measurement Conversions\n## Distance, Capacity, Weight, Temperature\n# Fractions\n# Percents, Fractions, and Decimals\n# Algebraic Expression (PEMDAS)\n# Rules of Exponents","[{\"question\":\"What do the common mathematical symbols on the sheet mean?\",\"answer\":\"The sheet maps phrases such as equal, times, divided by, plus, and subtracted from to symbols like =, ×, ÷, +, and −.\"},{\"question\":\"How are metric conversions performed according to the sheet?\",\"answer\":\"Metric units are treated as powers of 10: to convert to a larger unit, divide by the base of 10s; to convert to a smaller unit, multiply by the base of 10s.\"},{\"question\":\"What are the steps for adding or subtracting fractions with different denominators?\",\"answer\":\"Convert to equivalent fractions using a common denominator via a scale factor, then add or subtract using the same-denominator rules (combine numerators over the common denominator) and simplify if possible.\"}]","ASVAB Math Cram Sheet - Metric Conversions - Fractions | PDF",28]