Represent The Whole As The Sum Of Unit Fractions

Flannel Lined Overalls Womens, mod 5 les 1 Decompose a Whole as a Sum of Unit Fractions. About featured snippets•FeedbackPeople also askYou will see more English now.What represent the whole as the sum of the unit fractions 4 7?What is the unit fraction of a whole?How do you write a fraction as a whole number and a unit fraction?Can all fractions be written as the sum of unit fractions?FeedbackQuestions & answersSocraticQuestionHow do you write the fraction as a sum of unit fractions: 5/12?Answer · 0 votes112+112+112+112+112Explanation:112+112+112+112+112=1+1+1+1+112=512MoreBrainly.inQuestionexpress as a sum of unit fraction of 4/7.​Answer · 7 votesAnswer:1 Answer. 4/7=1/7+1/7+1/7+1/7.MoreGauthmathQuestionRepresent the whole as the sum of the unit fractions.Answer · 172 votesAnswer: .MoreStudy.comQuestionHow do you write 5/12 as a sum of unit fractions?Answer · 0 votesTo represent the fraction 5/12 as a sum of unit fractions, let's consider a basket containing 12 different fruits. Each fruit represents a unit part, and we have a total of 12 such unit parts.In this case, each unit part (or fruit) can be expressed as the fraction 112, indicating that it is one out of the 12 total fruits.Now, we are given the fraction 512, which means we need to find a combination of unit fractions that adds up to 512To do this, we can write 512 as the sum of five 112 fractions:512=112+112+112+112+112This means that we take five unit parts (or fruits) out of the 12 total fruits, and each of.MoreQuoraQuestionHow could you express 3/5 as the sum of distinct unit fractions?Answer · 9 votesSince 3/5 = 6/10, you could write it as:6/10 = 1/10 + 5/10 =1/10 + 1/2------I'll repeat the answer a few times, so Q allows me to submit my answer.Since 3/5 = 6/10, you could write it as:6/10 = 1/10 + 5/10 =1/10 + 1/2------Since 3/5 = 6/10, you could write it as:6/10 = 1/10 + 5/10 =1/10 + 1/2------MoreStack ExchangeQuestionHow do I prove that any unit fraction can be represented as the sum of two other distinct unit fractions?Answer · 17 votes1N+1+1N(N+1)=NN(N+1)+1N(N+1)=N+1N(N+1)=1N.Here's a question for further investigation: is the above decomposition of a unit fraction into a pair of distinct unit fractions unique? After all, there is more than one way to split a unit fraction into a triplet of unit fractions.12=14+16+112,but also12=13+18+124.MoreThe University of OklahomaQuestionWrite The Fraction As A Sum Of Unit Fractions 3/10Answer · 99 votesA unit fractions is a rational number written as a fraction ,Where the numerator is one and the denominator is a positive numbers .A unit fractions is therefore the reciprocal of a positive integer.The number 1 can be written as a sum of unit fractions, that is, fractions which have 1 in the numerator. When general, any unit fraction can be decomposed into the sum of two distinct unit fractions:The unit is . And there are 3 of them.= The fraction as a sum of unit fractions .For the more information about Sum of unit fraction click the link below.brainly.com/question/21162320MoreQuizletQuestiona number that is a sum of unit fractions, each an equal part of a set or a whole. Example: 3/5 = 1/5 + 1/5 + 1/5 or 3/5 = 3 * 1/5Answer · 0 votesfractionMoreNumeradeQuestionWhat is the fraction as a sum of unit fractions of 2/5Answer · 3 votesHello students, in this question given the mixed fraction is 2 1 by 5. Now I have to calculate this mixed fraction into improper fraction. So improper fraction is equal to 5 into 2 plus 1 upon 5 which is become 10 plus 1 upon 5 is equal to 11 upon 5. Therefore the improper fraction is 11 upon 5. I hope this video is useful for you. Thank you.MoreStack OverflowQuestionIn my problem I have to write a program that calculates all the unique unit fractions (1/2 +1/3 + 1/6 = 1) that sum to one. I am currently at 570 fractions that sum to one in this format where the number is the denominator (this is my current solution):(31,46,62,65,66,91,100,112,115,120,121,126,128,132,138,140,144,147,152,154,162,168,170,180,184,187,188,189,192,195,207,208,210,215,217,225,230,231,234,235,242,243,247,248,252,258,260,261,264,266,270,272,275,276,280,282,287,288,290,294,296,297,300,301,304,306,308,310,319,320,322,323,325,329,330,336,340,341,344,345,350,351,352,357,360,363,368,369,374,377,378,380,384,387,391,392,396,399,400,403,405,407,408,410,414,416,420,423,425,430,432,434,435,437,440,441,448,450,451,456,462,464,465,470,473,476,480,483,484,486,492,493,495,496,504,506,513,516,517,520,528,533,539,540,544,546,550,551,552,555,559,560,564,567,572,574,575,576,580,585,588,589,600,602,609,611,612,615,616,620,621,624,627,629,630,637,638,640,644,645,646,650,651,656,658,660,663,666,667,672,675,680,684,686,688,690,693,697,700,703,704,705,713,720,725,728,731,735,736,738,740,744,748,752,756,759,760,765,768,774,775,777,779,780,782,783,784,792,795,798,799,800,805,806,810,814,816,817,819,820,828,832,833,836,840,846,848,851,855,860,861,864,868,874,880,882,884,888,891,893,899,900,901,902,903,910,912,918,920,924,925,930,931,936,940,943,945,946,950,952,954,957,960,962,966,968,969,972,975,980,984,987,988,989,990,992,999,1000,1007,1008,1012,1015,1020,1025,1026,1029,1032,1034,1036,1040,1044,1050,1053,1054,1056,1060,1066,1073,1075,1078,1080,1081,1088,1092,1100,1102,1107,1110,1113,1116,1118,1120,1122,1125,1128,1131,1134,1144,1147,1148,1150,1152,1155,1161,1170,1175,1176,1178,1184,1188,1189,1190,1196,1200,1204,1209,1216,1218,1219,1221,1222,1224,1225,1230,1232,1242,1247,1248,1254,1258,1260,1269,1271,1275,1287,1290,1292,1295,1296,1302,1305,1312,1316,1320,1323,1325,1326,1332,1333,1344,1350,1353,1360,1363,1365,1368,1372,1375,1376,1377,1378,1380,1392,1394,1395,1400,1404,1406,1408,1410,1419,1421,1425,1426,1428,1430,1431,1435,1440,1443,1450,1452,1456,1457,1462,1470,1472,1475,1476,1480,1482,1484,1485,1488,1500,1504,1505,1508,1512,1517,1519,1520,1530,1534,1540,1548,1551,1554,1558,1560,1564,1566,1568,1581,1584,1590,1591,1593,1595,1596,1598,1599,1600,1612,1617,1620,1624,1628,1632,1634,1638,1640,1645,1650,1652,1653,1656,1664,1666,1672,1674,1677,1680,1683,1692,1696,1700,1702,1708,1710,1711,1715,1716,1720,1722,1728,1739,1740,1749,1750,1755,1760,1763,1764,1768,1769,1770,1782,1786,1792,1794,1798,1800,1802,1804,1806,1813,1820,1824,1829,1830,1836,1840,1845,1848,1850,1855,1856,1860,1862,1870,1872,1880,1886,1887,1888,1890,1891,1892,1900,1904,1908,1911,1914,1920,1927,1932,1935,1938,1944,1947,1950,1952,1960,1961,1974,1976,1978,1980,1984,1989,2000,2006,2009,2013,2014,2016,2021)I understand that the initial input would affect the end solution but I am looking for more substantial tips on how to make more fractions.The denominator also has to be under 2023. My method is dividing fractions up through a list using simple algorithms and dividing the ones with the least amount of fractions first and moving onto the ones with bigger fractions. I am wondering if anyone could pitch any ideas, algorithms or strategies on how to approach this and make new fractions.Method I’m using:Run a loop through a list of starting fractions (2,3,6) and check if they can be divided into three fractions, if not then divide into two using a*(a+b) b*(a+b) where a and b are factors that multiply to the number. It checks whether it is over the limit, already in the list or a duplicate. I then run it again and again.I am new to coding so my code is messy, please give me tips on how to improve. Please ask me if you want me to pick out smaller pieces of code as examples or cut it down for analysis.list = [2,3,6]import randomlastlist = []foul = 1global authsucglobal possfractsglobal factorsdef factorise(x):factors1 = []for i in range(1, x + 1):if x % i == 0:factors1.append(i)def make1d(x):global factorschecks1 = Truechecks2 = Truechecks3 = Truechecks4 = Truefactors = []success = Falsefor i in range(1, x + 1):if x % i == 0:factors.append(i)if len(factors) > 2:x3 = slice(3)factors = (factors[x3])xx1 = factors[0]xx2 = factors[1]xx3 = factors[2]total = (xx1 + xx2 + xx3)sum1 = (total * (x / xx1))sum2 = (total * (x / xx2))sum3 = (total * (x / xx3))possfracts.append(int(sum1))possfracts.append(int(sum2))possfracts.append(int(sum3))possfracts.remove(x)for i in possfracts:if i in lastlist:make1(i)else:make2(x)def make1(x):global factorschecks1 = Truechecks2 = Truechecks3 = Truechecks4 = Truefactors = []success = Falsefor i in range(1, x + 1):if x % i == 0:factors.append(i)if len(factors) > 2:x3 = slice(3)factors = (factors[x3])xx1 = factors[0]xx2 = factors[1]xx3 = factors[2]total = (xx1 + xx2 + xx3)sum1 = (total * (x / xx1))sum2 = (total * (x / xx2))sum3 = (total * (x / xx3))possfracts.append(int(sum1))possfracts.append(int(sum2))possfracts.append(int(sum3))possfracts.remove(x)for i in possfracts:if i in lastlist or i in list:make1d(i)else:make2(x)def makefracts1(x):global factorschecks1 = Truechecks2 = Truechecks3 = Truechecks4 = Truefactors = []success = Falsefor i in range(1, x + 1):if x % i == 0:factors.append(i)if len(factors) > 2:x3 = slice(3)factors = (factors[x3])xx1 = factors[0]xx2 = factors[1]xx3 = factors[2]total = (xx1 + xx2 + xx3)sum1 = (total * (x / xx1))sum2 = (total * (x / xx2))sum3 = (total * (x / xx3))possfracts.append(int(sum1))possfracts.append(int(sum2))possfracts.append(int(sum3))for i in possfracts:if i in lastlist or i in list:make1(i)auth(x)else:makefracts2(x)def make2(x):switch = Truewhile switch == True:f1 = random.randint(1, x)f2 = random.randint(1, x)fra1 = (f1 * (f1 + f2))fra2 = (f2 * (f1 + f2))if fra1 not in lastlist or fra2 not in lastlist or fra1 not in list or fra2 not in list: #should I remove the list checker?if f1 * f2 == x:possfracts.append(fra1)possfracts.append(fra2)possfracts.remove(x)switch = Falsedef checkdup():for i in possfracts:if possfracts.count(i) ==2:make1(i)def makefracts2(x):switch = Truewhile switch == True:global fra11global fra22global fra1global fra2f1 = random.randint(1,x)f2 = random.randint(1,x)if f1 * f2 == x:fra1 = (f1 * (f1 + f2))fra2 = (f2 * (f1 + f2))possfracts.append(fra1)possfracts.append(fra2)switch = Falsefor i in possfracts:if i in lastlist or i in list:make1(i)auth2(x)def auth(k):global possfractsglobal authsucauthsuc = Falsetoo_big = Falsealreadythere = Falseat2 = Falseat3 = Falseif len(set(possfracts)) != (len(possfracts)):alreadythere = Truefor i in possfracts:if i > 2023:too_big = Truefor i in possfracts:if i in lastlist:at2 = Truefor i in possfracts:if i in list:at3 = Trueif too_big == True or alreadythere == True or at2 == True or at3 == True:possfracts = []makefracts2(k)else:for i in possfracts:authsuc = Truelastlist.append(i)print(possfracts)list.remove(k)def auth2(k):global authsucauthsuc = Falsetoo_big = Falsealreadythere = Falseat2 = Falseat3 = Falseglobal foulfoul = []if len(set(possfracts)) != (len(possfracts)):alreadythere = Truefor i in possfracts:if i > 2023:too_big = Truefor i in possfracts:if i in lastlist:at2 = Truefor i in possfracts:if i in list:at3 = Trueif alreadythere == True or too_big == True or at3 == True or at2 == True:lastlist.append(k)list.remove(k)else:for i in possfracts:authsuc = Truelastlist.append(i)print(possfracts)list.remove(k)def facts2(y):for i in range(1, y + 1):if y % i == 0:factors1.append(i)def proof(x):x[:] = [1/i for i in x]print(sum(x))def findsmall():for i in list:factors1 = []for x in range(1, i + 1):if i % x == 0:factors1.append(i)if len(factors1) < 3:makefracts2(i)switch = Truewhile switch == True:factors1 = []possfracts = []if len(list) == 0:prooflist = []for i in lastlist:prooflist.append(i)print(list)print(len(lastlist))print(lastlist)proof(prooflist)count = 0for i in range(2024):amount = lastlist.count(i)if amount > 1:count = count + 1print(i)print(count)proof(prooflist)list = lastlistlastlist = []findsmall()pos = int(list[0])facts2(pos)if len(factors1) < 3:makefracts2(pos)else:makefracts1(pos)print(len(lastlist))print(lastlist)count = 0for i in range(2000):amount = lastlist.count(i)if amount > 1:count = count + 1print (i)print(count)proof(lastlist)When I run the program with only the algorithm dividing the fractions into two (as mentioned previously) it generates a larger sum then using the algorithms that divide it into 3,4,5 fractions. I wonder if it is a problem with the process I am using and I am open to suggestions.Answer · 6 votesThis is actually a variation of the subset sum problem (which is NP complex).If you find the lcm between all numbers from 2 to 2020, you get a denominator (D) that you can use to represent each of the fractions as a distinct positive integer. When the sum of any subset of these integer is equal to D, you get a corresponding list of fractions that sum up to 1.For example, if we want to represent all fractions of 1/n for value of n up to 10, we first find the lcm of 2,3,4,.10 which is 2520. Every 1/n fraction can be represented with an integer that you compute by dividing 2520 by the corresponding divisor:1/2 = 1260 / 2520 (2520/2 = 1260) 1260 1260/2520 1/21/3 = 840 / 2520 (2520/3 = 840) + 840 + 840/2520 + 1/31/4 = 630 / 2520 (2520/4 = 630)1/5 = 504 / 2520 (2520/5 = 504)1/6 = 420 / 2520 (2520/6 = 420) + 420 + 420/2520 + 1/61/7 = 360 / 2520 (2520/7 = 360) ----- ---------- -----1/8 = 315 / 2520 (2520/8 = 315) 2520 2520/2520 11/9 = 280 / 2520 (2520/9 = 280)1/10= 252 / 2520 (…MoreAnswers.comQuestionHow can you tell that a fraction is a unit fraction?Answer · 0 votesThe numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.The numerator of the fraction is 1.More Feedback Complementary ResultsHow to write fractions as multiples of unit fraction11:24Fractions as Multiples of a Unit Fraction - 4.NF.4YouTube · InstructaBeats3:27Math Grade 4 Fractions as Multiple of Unit FractionsYouTube · Ann Arbor Public Schools13:524th Grade Math 8.1, Multiples of Unit FractionsYouTube · JoAnn's SchoolMore results Feedback Web results Flannel Look Men, Represent fractions as the sum of unit fractions using pictures. 4:47Represent fractions as the sum of unit fractions using picturesIn this lesson you will learn how to represent a fraction as a sum of unit .YouTube · LearnZillion · Sep 30, 20215 key moments in this video Flannel Lounger, what is the whole as the sum of the unit fractions for 4/7. Aug 25, 2015 · 1 answer1 Answer . Below you can see why that is true. 1/2=7/14. 4/7=8/14. 7/14 + 1/14 .how to get whole as the sum of the unit fractionJul 30, 20127/7 as the sum of the unit fractions - Math Homework AnswersAug 19, 2019More results from www.mathhomeworkanswers.org Flannel Muumuu, How do you write the fraction as a sum of unit fractions: 5/12?. Dec 15, 2016 — 1/12+1/12+1/12+1/12+1/12 1/12+1/12+1/12+1/12+1/12 =(1+1+1+1+1)/12=5/12.1 answer  ·  112+112+112+112+112Explanation:112+112+112+112+112=1+1+1+1+112=512 Flannel Nail Art, Find the Sum of Fractions by Decomposing the Fractions. Learn how to perform operations on fractions by decomposing them and writing them as a sum of smaller fractions. Flannel Napkins, What Is a Unit Fraction? Definition, Non-unit, Examples, Facts. In math, a unit fraction can be defined as a fraction whose numerator is 1. It represents 1 shaded part of all the equal parts of the whole. 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