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ZADATCI ZA vIEŻBU 1. Zbroji raztomke: a \( \frac{1}{8}+\frac{2}{8} \) b) \( \frac{7}{16}+\frac{5}{16} \) c) \( \frac{2}{16}+\frac{9}{16} \) d) \( \frac{19}{47}+\frac{21}{47} \) e) \( \frac{2}{11}+\frac{2}{11} \). e) \( \frac{3}{13}+\frac{7}{13} \), 8) \( \frac{49}{29}+\frac{9}{29} \) h) \( \frac{37}{200}+\frac{112}{200} \) 2 Odurmi noviomi - a) \( \frac{3}{4}-\frac{1}{4} \). b) \( \frac{5}{11}-\frac{3}{11} \), c) \( \frac{34}{37}-\frac{13}{37} \) d) \( \frac{37}{100}-\frac{19}{100} \). e) \( \frac{3}{9}-\frac{2}{9} \) f) \( \frac{-}{9}-\frac{6}{9} \) g) \( \frac{45}{70}-\frac{15}{70} \) h) \( \frac{31}{125}-\frac{30}{125} \)

Ask by Edwards Peters. in Croatia
Jan 21,2025

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Answer

### 1. Zbroji razlomke: a) \( \frac{1}{8} + \frac{2}{8} = \frac{3}{8} \) b) \( \frac{7}{16} + \frac{5}{16} = \frac{12}{16} = \frac{3}{4} \) c) \( \frac{2}{16} + \frac{9}{16} = \frac{11}{16} \) d) \( \frac{19}{47} + \frac{21}{47} = \frac{40}{47} \) e) \( \frac{2}{11} + \frac{2}{11} = \frac{4}{11} \) f) \( \frac{3}{13} + \frac{7}{13} = \frac{10}{13} \) g) \( \frac{49}{29} + \frac{9}{29} = \frac{58}{29} = 2 \) h) \( \frac{37}{200} + \frac{112}{200} = \frac{149}{200} \) ### 2. Oduzmi razlomke: a) \( \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \) b) \( \frac{5}{11} - \frac{3}{11} = \frac{2}{11} \) c) \( \frac{34}{37} - \frac{13}{37} = \frac{21}{37} \) d) \( \frac{37}{100} - \frac{19}{100} = \frac{18}{100} = \frac{9}{50} \) e) \( \frac{3}{9} - \frac{2}{9} = \frac{1}{9} \) f) \( \frac{-1}{9} - \frac{6}{9} = -\frac{7}{9} \) g) \( \frac{45}{70} - \frac{15}{70} = \frac{30}{70} = \frac{3}{7} \) h) \( \frac{31}{125} - \frac{30}{125} = \frac{1}{125} \)

Solution

Calculate the value by following steps: - step0: Calculate: \(\frac{19}{47}+\frac{21}{47}\) - step1: Transform the expression: \(\frac{19+21}{47}\) - step2: Add the numbers: \(\frac{40}{47}\) Calculate or simplify the expression \( 3/13 + 7/13 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{13}+\frac{7}{13}\) - step1: Transform the expression: \(\frac{3+7}{13}\) - step2: Add the numbers: \(\frac{10}{13}\) Calculate or simplify the expression \( 7/16 + 5/16 \). Calculate the value by following steps: - step0: Calculate: \(\frac{7}{16}+\frac{5}{16}\) - step1: Transform the expression: \(\frac{7+5}{16}\) - step2: Add the numbers: \(\frac{12}{16}\) - step3: Reduce the fraction: \(\frac{3}{4}\) Calculate or simplify the expression \( 2/16 + 9/16 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{16}+\frac{9}{16}\) - step1: Transform the expression: \(\frac{2+9}{16}\) - step2: Add the numbers: \(\frac{11}{16}\) Calculate or simplify the expression \( 3/4 - 1/4 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{4}-\frac{1}{4}\) - step1: Transform the expression: \(\frac{3-1}{4}\) - step2: Subtract the numbers: \(\frac{2}{4}\) - step3: Reduce the fraction: \(\frac{1}{2}\) Calculate or simplify the expression \( 1/8 + 2/8 \). Calculate the value by following steps: - step0: Calculate: \(\frac{1}{8}+\frac{2}{8}\) - step1: Transform the expression: \(\frac{1+2}{8}\) - step2: Add the numbers: \(\frac{3}{8}\) Calculate or simplify the expression \( 3/9 - 2/9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{3}{9}-\frac{2}{9}\) - step1: Transform the expression: \(\frac{3-2}{9}\) - step2: Subtract the numbers: \(\frac{1}{9}\) Calculate or simplify the expression \( 5/11 - 3/11 \). Calculate the value by following steps: - step0: Calculate: \(\frac{5}{11}-\frac{3}{11}\) - step1: Transform the expression: \(\frac{5-3}{11}\) - step2: Subtract the numbers: \(\frac{2}{11}\) Calculate or simplify the expression \( 45/70 - 15/70 \). Calculate the value by following steps: - step0: Calculate: \(\frac{45}{70}-\frac{15}{70}\) - step1: Reduce the fraction: \(\frac{9}{14}-\frac{15}{70}\) - step2: Reduce the fraction: \(\frac{9}{14}-\frac{3}{14}\) - step3: Transform the expression: \(\frac{9-3}{14}\) - step4: Subtract the numbers: \(\frac{6}{14}\) - step5: Reduce the fraction: \(\frac{3}{7}\) Calculate or simplify the expression \( 37/100 - 19/100 \). Calculate the value by following steps: - step0: Calculate: \(\frac{37}{100}-\frac{19}{100}\) - step1: Transform the expression: \(\frac{37-19}{100}\) - step2: Subtract the numbers: \(\frac{18}{100}\) - step3: Reduce the fraction: \(\frac{9}{50}\) Calculate or simplify the expression \( 49/29 + 9/29 \). Calculate the value by following steps: - step0: Calculate: \(\frac{49}{29}+\frac{9}{29}\) - step1: Transform the expression: \(\frac{49+9}{29}\) - step2: Add the numbers: \(\frac{58}{29}\) - step3: Reduce the numbers: \(\frac{2}{1}\) - step4: Calculate: \(2\) Calculate or simplify the expression \( -1/9 - 6/9 \). Calculate the value by following steps: - step0: Calculate: \(\frac{-1}{9}-\frac{6}{9}\) - step1: Rewrite the fraction: \(-\frac{1}{9}-\frac{6}{9}\) - step2: Reduce the fraction: \(-\frac{1}{9}-\frac{2}{3}\) - step3: Reduce fractions to a common denominator: \(-\frac{1}{9}-\frac{2\times 3}{3\times 3}\) - step4: Multiply the numbers: \(-\frac{1}{9}-\frac{2\times 3}{9}\) - step5: Transform the expression: \(\frac{-1-2\times 3}{9}\) - step6: Multiply the numbers: \(\frac{-1-6}{9}\) - step7: Subtract the numbers: \(\frac{-7}{9}\) - step8: Rewrite the fraction: \(-\frac{7}{9}\) Calculate or simplify the expression \( 2/11 + 2/11 \). Calculate the value by following steps: - step0: Calculate: \(\frac{2}{11}+\frac{2}{11}\) - step1: Transform the expression: \(\frac{2+2}{11}\) - step2: Add the numbers: \(\frac{4}{11}\) Calculate or simplify the expression \( 34/37 - 13/37 \). Calculate the value by following steps: - step0: Calculate: \(\frac{34}{37}-\frac{13}{37}\) - step1: Transform the expression: \(\frac{34-13}{37}\) - step2: Subtract the numbers: \(\frac{21}{37}\) Calculate or simplify the expression \( 31/125 - 30/125 \). Calculate the value by following steps: - step0: Calculate: \(\frac{31}{125}-\frac{30}{125}\) - step1: Reduce the fraction: \(\frac{31}{125}-\frac{6}{25}\) - step2: Reduce fractions to a common denominator: \(\frac{31}{125}-\frac{6\times 5}{25\times 5}\) - step3: Multiply the numbers: \(\frac{31}{125}-\frac{6\times 5}{125}\) - step4: Transform the expression: \(\frac{31-6\times 5}{125}\) - step5: Multiply the numbers: \(\frac{31-30}{125}\) - step6: Subtract the numbers: \(\frac{1}{125}\) Calculate or simplify the expression \( 37/200 + 112/200 \). Calculate the value by following steps: - step0: Calculate: \(\frac{37}{200}+\frac{112}{200}\) - step1: Reduce the fraction: \(\frac{37}{200}+\frac{14}{25}\) - step2: Reduce fractions to a common denominator: \(\frac{37}{200}+\frac{14\times 8}{25\times 8}\) - step3: Multiply the numbers: \(\frac{37}{200}+\frac{14\times 8}{200}\) - step4: Transform the expression: \(\frac{37+14\times 8}{200}\) - step5: Multiply the numbers: \(\frac{37+112}{200}\) - step6: Add the numbers: \(\frac{149}{200}\) Evo rješenja za zadatke: ### 1. Zbroji razlomke: a) \( \frac{1}{8} + \frac{2}{8} = \frac{3}{8} \) b) \( \frac{7}{16} + \frac{5}{16} = \frac{12}{16} = \frac{3}{4} \) c) \( \frac{2}{16} + \frac{9}{16} = \frac{11}{16} \) d) \( \frac{19}{47} + \frac{21}{47} = \frac{40}{47} \) e) \( \frac{2}{11} + \frac{2}{11} = \frac{4}{11} \) f) \( \frac{3}{13} + \frac{7}{13} = \frac{10}{13} \) g) \( \frac{49}{29} + \frac{9}{29} = \frac{58}{29} = 2 \) h) \( \frac{37}{200} + \frac{112}{200} = \frac{149}{200} \) ### 2. Oduzmi razlomke: a) \( \frac{3}{4} - \frac{1}{4} = \frac{2}{4} = \frac{1}{2} \) b) \( \frac{5}{11} - \frac{3}{11} = \frac{2}{11} \) c) \( \frac{34}{37} - \frac{13}{37} = \frac{21}{37} \) d) \( \frac{37}{100} - \frac{19}{100} = \frac{18}{100} = \frac{9}{50} \) e) \( \frac{3}{9} - \frac{2}{9} = \frac{1}{9} \) f) \( \frac{-1}{9} - \frac{6}{9} = -\frac{7}{9} \) g) \( \frac{45}{70} - \frac{15}{70} = \frac{30}{70} = \frac{3}{7} \) h) \( \frac{31}{125} - \frac{30}{125} = \frac{1}{125} \) Ako imate dodatnih pitanja ili trebate dodatna objašnjenja, slobodno pitajte!

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Postavke za zbrajanje razlomaka daju divnu priliku za vežbu! Kada zbrajate razlomke, uvek obavezno proverite da li su im imenitelji jednaki. Ako jesu, samo sabirate brojnike i ostavljate imitelj isti. Ako nisu, prvo ih dovedite na zajednički imenitelj. I ne zaboravite da pojednostavite rezultat! Oduzimanje razlomaka je slično kao i zbrajanje, ali ovde morate biti pažljivi, posebno s negativnim razlomcima. Kad oduzimate, naravno, treba da se fokusirate na brojnike i imenitelje. I opet, proverite da li možete pojednostaviti rezultat kako biste napravili vaš odgovor što jednostavnijim!

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