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### 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) \( \frac{31}{125} - \frac{30}{125} = \frac{1}{125} \)
Solución
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) \( \frac{31}{125} - \frac{30}{125} = \frac{1}{125} \)
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