Решение пропорции

Этот тренажёр поможет вам научиться уверенно решать задачи на пропорции. Вы будете работать с равенствами дробей и находить неизвестное число ($x$), используя основное свойство пропорции.

В каждом вопросе нужно выбрать правильный ответ из трех предложенных вариантов.

Тренажёр помогает:

• научиться находить неизвестный член пропорции;
• закрепить вычислительные навыки;
• подготовиться к контрольным и проверочным работам.

Для каждого примера есть решение и объяснение ответа. Повторить материал по пропорциям можно в уроке «Пропорции».

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49$","correct_text":"$\\frac{49}{21} = \\frac{7}{3}$","buttons":["44","49","52"]},{"text":"$\\frac{x}{14} = \\frac{1}{2}$","answer":0,"explanation":"$x = (14 \\cdot 1) : 2 = 7$","correct_text":"$\\frac{7}{14} = \\frac{1}{2}$","buttons":["7","14","21"]},{"text":"$\\frac{x}{27} = \\frac{9}{3}$","answer":2,"explanation":"$x = (27 \\cdot 9) : 3 = 81$","correct_text":"$\\frac{81}{27} = \\frac{9}{3}$","buttons":["54","68","81"]},{"text":"$\\frac{x}{30} = \\frac{6}{5}$","answer":0,"explanation":"$x = (30 \\cdot 6) : 5 = 36$","correct_text":"$\\frac{36}{30} = \\frac{6}{5}$","buttons":["36","39","42"]},{"text":"$\\frac{x}{32} = \\frac{4}{8}$","answer":1,"explanation":"$x = (32 \\cdot 4) : 8 = 16$","correct_text":"$\\frac{16}{32} = \\frac{4}{8}$","buttons":["12","16","20"]},{"text":"$\\frac{5}{x} = \\frac{1}{3}$","answer":1,"explanation":"$x = (5 \\cdot 3) : 1 = 15$","correct_text":"$\\frac{5}{15} = \\frac{1}{3}$","buttons":["10","15","20"]},{"text":"$\\frac{8}{x} = \\frac{2}{5}$","answer":0,"explanation":"$x = (8 \\cdot 5) : 2 = 20$","correct_text":"$\\frac{8}{20} = \\frac{2}{5}$","buttons":["20","30","40"]},{"text":"$\\frac{9}{x} = \\frac{3}{4}$","answer":2,"explanation":"$x = (9 \\cdot 4) : 3 = 12$","correct_text":"$\\frac{9}{12} = \\frac{3}{4}$","buttons":["8","10","12"]},{"text":"$\\frac{12}{x} = \\frac{4}{7}$","answer":1,"explanation":"$x = (12 \\cdot 7) : 4 = 21$","correct_text":"$\\frac{12}{21} = \\frac{4}{7}$","buttons":["18","21","24"]},{"text":"$\\frac{7}{x} = \\frac{1}{2}$","answer":2,"explanation":"$x = (7 \\cdot 2) : 1 = 14$","correct_text":"$\\frac{7}{14} = \\frac{1}{2}$","buttons":["9","12","14"]},{"text":"$\\frac{15}{x} = \\frac{5}{6}$","answer":0,"explanation":"$x = (15 \\cdot 6) : 5 = 18$","correct_text":"$\\frac{15}{18} = \\frac{5}{6}$","buttons":["18","21","24"]},{"text":"$\\frac{16}{x} = \\frac{8}{9}$","answer":2,"explanation":"$x = (16 \\cdot 9) : 8 = 18$","correct_text":"$\\frac{16}{18} = \\frac{8}{9}$","buttons":["14","16","18"]},{"text":"$\\frac{10}{x} = \\frac{2}{3}$","answer":0,"explanation":"$x = (10 \\cdot 3) : 2 = 15$","correct_text":"$\\frac{10}{15} = \\frac{2}{3}$","buttons":["15","20","25"]},{"text":"$\\frac{14}{x} = \\frac{7}{5}$","answer":1,"explanation":"$x = (14 \\cdot 5) : 7 = 10$","correct_text":"$\\frac{14}{10} = \\frac{7}{5}$","buttons":["8","10","12"]},{"text":"$\\frac{18}{x} = \\frac{6}{11}$","answer":1,"explanation":"$x = (18 \\cdot 11) : 6 = 33$","correct_text":"$\\frac{18}{33} = \\frac{6}{11}$","buttons":["30","33","36"]},{"text":"$\\frac{3}{4} = \\frac{x}{8}$","answer":0,"explanation":"$x = (8 \\cdot 3) : 4 = 6$","correct_text":"$\\frac{3}{4} = \\frac{6}{8}$","buttons":["6","8","10"]},{"text":"$\\frac{5}{6} = \\frac{x}{12}$","answer":2,"explanation":"$x = (12 \\cdot 5) : 6 = 10$","correct_text":"$\\frac{5}{6} = \\frac{10}{12}$","buttons":["6","8","10"]},{"text":"$\\frac{7}{9} = \\frac{x}{18}$","answer":1,"explanation":"$x = (18 \\cdot 7) : 9 = 14$","correct_text":"$\\frac{7}{9} = \\frac{14}{18}$","buttons":["11","14","17"]},{"text":"$\\frac{2}{5} = \\frac{x}{15}$","answer":1,"explanation":"$x = (15 \\cdot 2) : 5 = 6$","correct_text":"$\\frac{2}{5} = \\frac{6}{15}$","buttons":["4","6","8"]},{"text":"$\\frac{4}{7} = \\frac{x}{21}$","answer":0,"explanation":"$x = (21 \\cdot 4) : 7 = 12$","correct_text":"$\\frac{4}{7} = \\frac{12}{21}$","buttons":["12","15","18"]},{"text":"$\\frac{3}{4} = \\frac{6}{x}$","answer":2,"explanation":"$x = (6 \\cdot 4) : 3 = 8$","correct_text":"$\\frac{3}{4} = \\frac{6}{8}$","buttons":["16","12","8"]},{"text":"$\\frac{5}{6} = \\frac{10}{x}$","answer":1,"explanation":"$x = (10 \\cdot 6) : 5 = 12$","correct_text":"$\\frac{5}{6} = \\frac{10}{12}$","buttons":["10","12","14"]},{"text":"$\\frac{7}{9} = \\frac{14}{x}$","answer":2,"explanation":"$x = (14 \\cdot 9) : 7 = 18$","correct_text":"$\\frac{7}{9} = \\frac{14}{18}$","buttons":["22","20","18"]},{"text":"$\\frac{2}{5} = \\frac{8}{x}$","answer":0,"explanation":"$x = (8 \\cdot 5) : 2 = 20$","correct_text":"$\\frac{2}{5} = \\frac{8}{20}$","buttons":["20","23","26"]},{"text":"$\\frac{4}{7} = \\frac{12}{x}$","answer":2,"explanation":"$x = (12 \\cdot 7) : 4 = 21$","correct_text":"$\\frac{4}{7} = \\frac{12}{21}$","buttons":["17","19","21"]}]}