{"id":7046,"date":"2020-04-07T22:56:35","date_gmt":"2020-04-07T21:56:35","guid":{"rendered":"http:\/\/mathsguyon.fr\/?page_id=7046"},"modified":"2020-05-08T19:23:01","modified_gmt":"2020-05-08T18:23:01","slug":"les-fractions","status":"publish","type":"page","link":"https:\/\/mathsguyon.fr\/?page_id=7046","title":{"rendered":"Les fractions"},"content":{"rendered":"

Cours et exercices en vid\u00e9o :<\/span><\/h1>\n

 <\/p>\n

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1. D\u00e9finition :<\/strong><\/h2>\n

<\/code><\/strong>Vid\u00e9o de cours 1\u00a0<\/a> \u00a0\u00a0 –\u00a0 Le cours \u00e0 lire<\/a> –\u00a0 QCM\u00a0 :<\/span> <\/strong>Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 1 :<\/strong><\/h2>\n

\u00c9crire sous forme d\u00e9cimale les nombres suivants : \\(\\Large\\frac{5}{4}~;~\\frac{3}{5}~;~\\frac{7}{2}~;~\\frac{1}{3}\\)\u00a0 Correction<\/a><\/strong><\/span><\/p>\n

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2. Abscisses et proportions :<\/strong><\/h2>\n

Vid\u00e9o 2 <\/strong><\/a>\u00a0 – QCM :<\/span><\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 2<\/strong><\/h2>\n

D\u00e9terminer dans chacune des situations l’abscisse du point A.<\/p>\n

\"\"\"\"<\/strong> Correction
\n<\/strong><\/p>\n

Exercice 3<\/strong><\/h2>\n

Encadrer chacun de ces nombres par deux entiers cons\u00e9cutifs :<\/p>\n

\\(\\Large A=\\frac{11}{4}~;~B=\\frac{23}{5}~;~C=\\frac{27}{7}\\) \u00a0\u00a0 Correction<\/p>\n

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3. \u00c9galit\u00e9 de quotients<\/strong><\/h2>\n

Vid\u00e9o 3 <\/strong><\/a>\u00a0 – QCM :<\/span> <\/strong>Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 4 :<\/strong><\/h2>\n

Effectuer une division d\u00e9cimale :\\(21,3 \\div 0,6\\) \u00a0\u00a0\u00a0\u00a0\u00a0\u00a0\u00a0 \u00a0 Correction<\/a><\/strong><\/span><\/p>\n

Exercice 5 :<\/strong><\/h2>\n

\u00c9crire sous forme d’une fraction irr\u00e9ductible : \\(\\Large{\\frac{1,5}{3,2}~;~\\frac{0,35}{5,5}~;~\\frac{36}{0,24}}\\)\u00a0\u00a0\u00a0\u00a0 Correction d’Elsa<\/span><\/strong><\/p>\n

Exercice 6 :<\/strong><\/h2>\n

Compl\u00e9ter les \u00e9galites de fractions : \\(\\Large\\frac{2}{12}=\\frac{\\dots}{24}~;~\\frac{9}{7}~=~\\frac{63}{\\dots}~;~\\frac{2}{2,5}~=~\\frac{\\dots}{5}~;~\\frac{3}{6}~=~\\frac{\\dots}{9}\\) Correction<\/strong><\/span><\/a><\/p>\n

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4. Comparaison fractions<\/strong><\/h2>\n

Vid\u00e9o 4 <\/strong><\/a>\u00a0 – QCM :<\/span><\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 7 :<\/strong><\/h2>\n

$$\\text{Comparer les nombres suivants\u00a0 : ~} \\dfrac{4}{7}~\\text{et}~\\dfrac{7}{14}~~~;~~\\dfrac{7}{8}~\\text{et}~\\dfrac{16}{15}~~~;~~~\\dfrac{13}{4}~\\text{et}~\\dfrac{27}{8}~~~;~~~\\dfrac{12}{15}~\\text{et}~\\dfrac{12}{14}$$\u00a0\u00a0\u00a0\u00a0 Correction<\/strong><\/a><\/p>\n

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5. Somme de fractions de m\u00eame d\u00e9nominateur<\/strong><\/h2>\n

Vid\u00e9o 5<\/a> <\/span>\u00a0 – QCM<\/strong>\u00a0 :<\/strong><\/span>Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 8 :<\/strong><\/h2>\n

$$\\text{Calculer : ~} A=\\dfrac{7}{9}+\\dfrac{5}{9}~~~;~~B=\\dfrac{19}{8}-\\dfrac{15}{8}~~~;~~C=\\dfrac{5}{12}+\\dfrac{13}{12}~~~;~~D=\\dfrac{27}{13}-\\dfrac{1}{13}$$ Correction<\/a><\/strong><\/span><\/p>\n

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6. Somme de fractions de d\u00e9nominateur multiples
\n<\/strong><\/h2>\n

Vid\u00e9o 6 <\/strong><\/span><\/a>\u00a0 –\u00a0 QCM :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 9 :<\/strong><\/h2>\n

$$\\text{Calculer : ~} A=\\dfrac{6}{5}+\\dfrac{2}{15}~~~;~~B=\\dfrac{7}{3}-\\dfrac{1}{12}$$\u00a0\u00a0 Correction<\/a><\/strong><\/span><\/p>\n

Exercice 10 :<\/strong><\/h2>\n

$$\\text{Calculer : ~} E=\\dfrac{1}{3}-\\dfrac{1}{6}~;~F=\\dfrac{9}{4}-\\dfrac{7}{12}~;~G=\\dfrac{5}{6}-\\dfrac{3}{48}$$<\/p>\n

$$\\text{Calculer : ~} H=\\dfrac{9}{7}-\\dfrac{64}{63};~I=\\dfrac{19}{99}-\\dfrac{1}{11}$$ Correction<\/strong><\/a><\/p>\n

Exercice 11 :<\/strong><\/h2>\n

Calculer : $$A=2+\\dfrac{3}{10}~~~~B=5-\\dfrac{9}{2}$$\u00a0\u00a0 Correction<\/a><\/strong><\/p>\n

Exercice 12 :<\/strong><\/h2>\n

$$\\text{Calculer : ~} J=4-\\dfrac{3}{2}~~~~K=\\dfrac{9}{4}-1~~~~~L=7+\\dfrac{1}{4}~~~M=\\dfrac{16}{3}-3$$ Correction<\/a><\/strong><\/span><\/p>\n

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7. Somme de fractions quelconques<\/strong><\/h2>\n

Vid\u00e9o 7<\/a>\u00a0 –<\/strong><\/span> \u00a0 QCM :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 13 :<\/strong><\/h2>\n

$$\\text{Calculer :}~~A=\\dfrac{1}{3}+\\dfrac{2}{7}$$ \u00a0\u00a0 \u00a0Correction<\/a><\/strong><\/span><\/p>\n

\n

8. Produit de fractions : d\u00e9finition<\/strong><\/h2>\n

Vid\u00e9o 8<\/a>\u00a0<\/strong><\/span> \u00a0 – QCM\u00a0 :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 14:<\/strong><\/h2>\n

$$\\text{Calculer : ~} A=\\dfrac{7}{5}\\times\\dfrac{3}{4}~~;~~ B=\\dfrac{0,7}{6}\\times\\dfrac{1}{4}~~;~~ C=\\dfrac{1}{5}\\times\\dfrac{8}{7}$$ Correction<\/a><\/strong><\/p>\n

Exercice 15:<\/strong><\/h2>\n

$$\\text{Calculer : ~} A=5\\times\\dfrac{2}{9}~~~;~~~ B=3\\times\\dfrac{11}{7}$$ \u00a0Correction<\/a><\/strong><\/p>\n

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9. Produit de fractions : applications complexes<\/strong><\/h2>\n

\u00a0Vid\u00e9o 9\u00a0<\/a>\u00a0 –\u00a0 QCM :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 16: <\/strong><\/h2>\n

$$\\text{Calculer : ~} A=\\dfrac{12}{14}\\times\\dfrac{21}{20} ~~;~~B=\\dfrac{16}{5}\\times\\dfrac{25}{4}~~;~~C=\\dfrac{9}{2}\\times\\dfrac{6}{14}\\times\\dfrac{21}{3}$$\u00a0 Correction\u00a0 A<\/a><\/strong> \u00a0 Correction B<\/a><\/strong>\u00a0 \u00a0 \u00a0 \u00a0 Correction C<\/a><\/strong><\/p>\n

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10. Synth\u00e8se op\u00e9rations
\n<\/strong><\/h2>\n

QCM :<\/strong> Identifi\u00e9<\/a>\u00a0– Anonymes<\/a><\/h2>\n

Exercice 17:<\/strong><\/h2>\n

$$\\text{Calculer : ~} A=\\dfrac{8}{9}-\\dfrac{2}{9}\\times\\dfrac{7}{3}~~~B=3-\\dfrac{9}{15}\\times\\dfrac{5}{12}$$ \u00a0 Correction<\/strong><\/span><\/a><\/p>\n

$$\\text{Calculer : ~} A=\\dfrac{1}{9}-\\dfrac{15}{9}\\times\\dfrac{1}{6}$$ \u00a0 Correction<\/strong><\/a><\/p>\n

\n

11. Fraction d’une quantit\u00e9<\/strong><\/h2>\n

Vid\u00e9o 10 <\/strong><\/span>– \u00a0 QCM :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 18:<\/strong><\/h2>\n

$$\\text{Calculer les }\\dfrac{4}{5}~\\text{de}~\\dfrac{35}{9}\u00a0 \\text{et Calculer le tiers de quatre septi\\`eme}$$<\/p>\n

Correction<\/a><\/strong><\/span><\/p>\n

Exercice 19:<\/strong><\/h2>\n

Karim boit trois dixi\u00e8mes d’une bouteille de soda. Alissa boit ensuite les deux cinqui\u00e8mes du reste.<\/p>\n

Quelle fraction reste-t-il ?\u00a0\u00a0\u00a0 Aide pour d\u00e9marrer<\/a>\u00a0\u00a0\u00a0\u00a0\u00a0 –\u00a0\u00a0\u00a0 <\/strong><\/span>Correction<\/strong><\/span><\/a><\/p>\n

Exercice 20:<\/strong><\/h2>\n

Raoul boit les deux cinqui\u00e8mes d’une bouteille de jus de pomme contenant $$\\dfrac{3}{4} \\text{L}$$.<\/p>\n

Quelle quantit\u00e9 de jus de pomme, exprim\u00e9e en cL, Raoul a-t-il bue?\u00a0\u00a0 \u00a0 <\/strong>Correction<\/strong><\/a><\/p>\n

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12. Pourcentage d’une quantit\u00e9<\/strong><\/h2>\n

Vid\u00e9o 11 :<\/strong><\/span> QCM<\/span> :<\/strong> Identifi\u00e9s<\/a>\u00a0\u00a0 – Anonymes<\/a><\/h2>\n

Exercice 21:<\/strong><\/h2>\n

$$\\text{Calculer 20\\% de 600 ; 63\\% de 210 euros puis 42\\% de }~\\dfrac{10}{7}? $$\u00a0 \u00a0 <\/strong>Correction<\/strong><\/p>\n

Exercice 22:<\/strong><\/h2>\n

Ce sont les soldes. Le pull de r\u00eave que Raoul souhaite acheter \u00e0 82\u20ac est affich\u00e9 \u00e0 -25%.<\/p>\n

Quel est le montant de la r\u00e9duction ? Quel est le prix que Raoul de ra payer ? \u00a0 <\/strong>Correction<\/strong><\/p>\n

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\u00a0<\/span><\/strong><\/h2>\n

 <\/p>\n

 <\/p>\n

 <\/p>\n","protected":false},"excerpt":{"rendered":"

Cours et exercices en vid\u00e9o :   1. D\u00e9finition : Vid\u00e9o de cours 1\u00a0 \u00a0\u00a0 –\u00a0 Le cours \u00e0 lire –\u00a0 QCM\u00a0 : Identifi\u00e9s\u00a0\u00a0 – Anonymes Exercice 1 : \u00c9crire sous forme d\u00e9cimale les nombres suivants : \\(\\Large\\frac{5}{4}~;~\\frac{3}{5}~;~\\frac{7}{2}~;~\\frac{1}{3}\\)\u00a0 Correction 2. … Continuer la lecture →<\/span><\/a><\/p>\n","protected":false},"author":1,"featured_media":0,"parent":0,"menu_order":0,"comment_status":"closed","ping_status":"closed","template":"","meta":{"footnotes":""},"class_list":["post-7046","page","type-page","status-publish","hentry"],"_links":{"self":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7046","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages"}],"about":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/types\/page"}],"author":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/users\/1"}],"replies":[{"embeddable":true,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fcomments&post=7046"}],"version-history":[{"count":122,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7046\/revisions"}],"predecessor-version":[{"id":7372,"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=\/wp\/v2\/pages\/7046\/revisions\/7372"}],"wp:attachment":[{"href":"https:\/\/mathsguyon.fr\/index.php?rest_route=%2Fwp%2Fv2%2Fmedia&parent=7046"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}