Compare fractions
(1) Compare the fractions (insert the sign (<), (>) or (=)): (a) \( \dfrac{7}{11} \; \square \; \dfrac{7}{15} \) (b) \( \dfrac{2}{12} \; \square \; \dfrac{2}{9} \) (c) \( \dfrac{12}{14} \; \square \; \dfrac{8}{14} \) (d) \( \dfrac{11}{14} \; \square \; \dfrac{13}{14} \) (2) Compare the fractions (insert the sign (<), (>) or (=)): (a) \( \dfrac{7}{10} \; \square \; \dfrac{48}{42} \) (b) \( \dfrac{6}{9} \; \square \; \dfrac{8}{6} \) (c) \( \dfrac{7}{14} \; \square \; \dfrac{10}{20} \) (d) \( \dfrac{10}{16} \; \square \; \dfrac{9}{24} \) |
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(3) Compare mixed numbers and fractions (insert the sign (<), (>) or (=)):
(a) \( 2\dfrac{1}{8} \; \square \; 2\dfrac{7}{8} \)
(b) \( 1\dfrac{1}{10} \; \square \; 2\dfrac{1}{4} \)
(c) \( 3\dfrac{1}{5} \; \square \; 3\dfrac{4}{5} \)
(d) \( 13\dfrac{8}{9} \; \square \; 13\dfrac{8}{11} \)
(4) The following fractions are marked on the number line:
\( \dfrac{3}{7},\; \dfrac{5}{6},\; 1\dfrac{4}{5},\; \dfrac{9}{6},\; 2\dfrac{6}{10} \)
(a) Koji je najmanji, a koji je najveći razlomak?
(b) Poredaj razlomke, počevši od najmanjeg.
(5) Elijah and Popay are eating apples of equal size. Elijah cut her apple into ( 2 ) equal parts and ate ( 1 ) part. Popay divided his apple into ( 4 ) equal parts and ate ( 2 ) parts. Who ate more apple?
(6) In one school, ( \dfrac{2}{5} ) of sixth-grade boys wear glasses. ( \dfrac{1}{3} ) of sixth-grade girls wear glasses. Are there more boys than girls who do not wear glasses? (Compare the fractions of those who do not wear them.)
(7) Three boys have the same amount of money. The first spent ( \dfrac{4}{5} ) of his money. The second spent ( \dfrac{13}{30} ) of his money, and the third ( \dfrac{17}{21} ) of his money. Who spent the most, and who has the least money left?
(8) Solve each fraction. Then order the resulting fractions, starting from the smallest.
(a) Razlomak 1: razlomak je nepravilan. Brojilac i imenilac se razlikuju za \( 2 \). Imenilac je \( 2 \). neparni broj (tj. drugi neparni broj). Napiši razlomak.
(b) Razlomak 2: imenilac je \( 5 \) puta veći od imenilaca razlomka 1. Brojilac je \( 3 \). neparan broj (tj. treći neparni broj). Napiši razlomak.
(c) Razlomak 3: brojilac je jednak brojiocu razlomka 1. Imenilac je za \( 1 \) veći od brojioca. Napiši razlomak.
(d) Razlomak 4: ovaj razlomak je mješoviti broj sa jednim cijelim. Brojilac pravog razlomka je jednak imeniocu razlomka 1. Imenilac je \( 2 \). paran prirodni broj (tj. drugi paran broj). Napiši mješoviti broj.
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