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Problem description:
Equivalent Fractions Practice
Check your understanding with eight questions.
{"questions":[{"content":"Complete: 2/5 = __/10.<br>[[input-1]]","widgets":{"input-1":{"type":"input","answer":"4"}},"hints":["The denominator doubles."],"explanation":"Double the numerator: 2/5 = 4/10."},{"content":"Complete: 3/4 = 9/___.<br>[[input-2]]","widgets":{"input-2":{"type":"input","answer":"12"}},"hints":["The numerator was multiplied by 3."],"explanation":"Multiply the denominator by 3: 3/4 = 9/12."},{"content":"Which pair is equivalent?<br>[[choice-3]]","widgets":{"choice-3":{"type":"choice","options":["2/3 and 4/6","2/3 and 3/5","1/4 and 2/5","3/4 and 4/5"],"answer":[0],"explanations":["2/3 = 4/6.","","",""]}},"hints":["Multiply both parts of 2/3 by 2."],"explanation":"2/3 = 4/6."},{"content":"Which fraction is not equivalent to 1/2?<br>[[choice-4]]","widgets":{"choice-4":{"type":"choice","options":["3/6","4/8","5/10","4/10"],"answer":[3],"explanations":["","","","4/10 simplifies to 2/5, not 1/2."]}},"hints":["Equivalent halves have a numerator that is half the denominator."],"explanation":"4/10 simplifies to 2/5, not 1/2."},{"content":"Complete: 4/6 = 2/___.<br>[[input-5]]","widgets":{"input-5":{"type":"input","answer":"3"}},"hints":["Divide both parts by 2."],"explanation":"4/6 simplifies to 2/3."},{"content":"Lena colours 2 of 4 equal squares. Which fraction names the same amount in simplest form?<br>[[choice-6]]","widgets":{"choice-6":{"type":"choice","options":["1/2","1/4","2/2","3/4"],"answer":[0],"explanations":["Two fourths cover one half of the whole.","","",""]}},"hints":["Divide 2/4 by 2."],"explanation":"Two fourths cover one half of the whole."},{"content":"Which operation creates an equivalent fraction from 5/7?<br>[[choice-7]]","widgets":{"choice-7":{"type":"choice","options":["Multiply both parts by 3","Add 3 to both parts","Multiply only the numerator by 3","Subtract 1 from the denominator"],"answer":[0],"explanations":["Multiplying both parts by 3 gives 15/21.","","",""]}},"hints":["Use the same multiplication factor for numerator and denominator."],"explanation":"Multiplying both parts by 3 gives 15/21."},{"content":"Complete: 6/8 = __/4.<br>[[input-8]]","widgets":{"input-8":{"type":"input","answer":"3"}},"hints":["Divide both parts by 2."],"explanation":"6/8 simplifies to 3/4."}],"mix":1}
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