Quiz — Correction S16+17 (mana3rach kmlinn walla nsitt xDD).pdf

Question 1 sur 10 20:00

[{"id":129425,"question":"Quel est le résultat de l'addition suivante : 3\/4 + 5\/6 ?","option_a":"19\/12","option_b":"8\/10","option_c":"14\/24","option_d":"11\/12","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour additionner deux fractions, il faut d'abord les mettre sous le même dénominateur. Le dénominateur commun de 4 et 6 est 12. 3\/4 devient 9\/12 et 5\/6 devient 10\/12. L'addition donne alors 19\/12.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"19\/12\", \"b\": \"8\/10\", \"c\": \"14\/24\", \"d\": \"11\/12\"}}","_debug_options_count":4},{"id":129426,"question":"La soustraction 7\/8 - 1\/3 donne un résultat positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour soustraire deux fractions, il faut les mettre sous le même dénominateur. 7\/8 - 1\/3 = 21\/24 - 8\/24 = 13\/24, qui est bien un résultat positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":129427,"question":"Quel est le résultat de la multiplication : 2\/5 × 3\/7 ?","option_a":"6\/35","option_b":"5\/12","option_c":"6\/12","option_d":"5\/35","option_e":"","option_f":"","bonne_reponse":"a","explication":"Pour multiplier deux fractions, on multiplie les numérateurs entre eux et les dénominateurs entre eux. Ainsi, 2\/5 × 3\/7 = (2×3)\/(5×7) = 6\/35.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"6\/35\", \"b\": \"5\/12\", \"c\": \"6\/12\", \"d\": \"5\/35\"}}","_debug_options_count":4},{"id":129428,"question":"La division 4\/9 ÷ 2\/3 est égale à 2\/3.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Diviser par une fraction revient à multiplier par son inverse. Ainsi, 4\/9 ÷ 2\/3 = 4\/9 × 3\/2 = 12\/18 = 2\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":129429,"question":"Quel est le résultat simplifié de l'addition : 1\/6 + 1\/4 ?","option_a":"5\/12","option_b":"2\/10","option_c":"1\/2","option_d":"3\/12","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le dénominateur commun de 6 et 4 est 12. 1\/6 devient 2\/12 et 1\/4 devient 3\/12. L'addition donne 5\/12, qui est déjà simplifié.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"5\/12\", \"b\": \"2\/10\", \"c\": \"1\/2\", \"d\": \"3\/12\"}}","_debug_options_count":4},{"id":129430,"question":"La multiplication de deux fractions négatives donne un résultat positif.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le produit de deux nombres négatifs est toujours positif. Ainsi, (-a\/b) × (-c\/d) = (a×c)\/(b×d), qui est positif.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":129431,"question":"Quel est le résultat de la soustraction : 5\/6 - 1\/2 ?","option_a":"1\/3","option_b":"4\/8","option_c":"2\/6","option_d":"1\/6","option_e":"","option_f":"","bonne_reponse":"a","explication":"Le dénominateur commun de 6 et 2 est 6. 1\/2 devient 3\/6. La soustraction donne 5\/6 - 3\/6 = 2\/6, qui se simplifie en 1\/3.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/3\", \"b\": \"4\/8\", \"c\": \"2\/6\", \"d\": \"1\/6\"}}","_debug_options_count":4},{"id":129432,"question":"La division 3\/4 ÷ 6\/8 est égale à 1.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"b","explication":"3\/4 ÷ 6\/8 = 3\/4 × 8\/6 = 24\/24 = 1. La réponse est donc vraie.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"b\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4},{"id":129433,"question":"Quel est le résultat simplifié de la multiplication : 7\/10 × 5\/14 ?","option_a":"1\/4","option_b":"35\/140","option_c":"1\/2","option_d":"7\/14","option_e":"","option_f":"","bonne_reponse":"a","explication":"7\/10 × 5\/14 = (7×5)\/(10×14) = 35\/140. En simplifiant par 35, on obtient 1\/4.","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"1\/4\", \"b\": \"35\/140\", \"c\": \"1\/2\", \"d\": \"7\/14\"}}","_debug_options_count":4},{"id":129434,"question":"La soustraction 9\/10 - 4\/5 donne un résultat inférieur à 1\/2.","option_a":"Vrai","option_b":"Faux","option_c":"","option_d":"","option_e":"","option_f":"","bonne_reponse":"a","explication":"9\/10 - 4\/5 = 9\/10 - 8\/10 = 1\/10, qui est bien inférieur à 1\/2 (5\/10).","points":1,"type":"qcm","actif":1,"section_id":null,"ordre":0,"_debug_answer_data_type":"string","_debug_answer_data_preview":"{\"correct\": \"a\", \"options\": {\"a\": \"Vrai\", \"b\": \"Faux\", \"c\": \"\", \"d\": \"\"}}","_debug_options_count":4}]