{
  "Id": "a7bfe333-c6d3-49ec-b34e-8af46e7881cf",
  "Title": "Fractions: Parts, Equivalence, and Operations Practice",
  "Subject": "Mathematics",
  "Topic": "Fractions\u2014parts of a whole, equivalence, comparison, simplification, and operations",
  "Instructions": "Read each question carefully and answer to the best of your ability. Show all working for word problems.",
  "EstimatedMinutes": 35,
  "StudentProfileId": "",
  "SourceFileName": " fractions.pdf",
  "SessionMaterialId": "8499eeea-dc89-4b86-86d3-ec710e4ce069",
  "GeneratedAt": "2026-07-25T12:07:36.688234Z",
  "Questions": [
    {
      "Id": 1,
      "Type": "multiple_choice",
      "Text": "Lena sipped 2/3 of her smoothie in the morning and another 1/6 in the afternoon. To find the total fraction she drank, which operation should you use?",
      "Options": [
        "A. Add",
        "B. Subtract",
        "C. Multiply",
        "D. Divide"
      ],
      "Answer": "A. Add",
      "Points": 5
    },
    {
      "Id": 2,
      "Type": "multiple_choice",
      "Text": "Compute: 5/6 \u2212 1/4 = ?",
      "Options": [
        "A. 7/12",
        "B. 3/10",
        "C. 2/3",
        "D. 9/10"
      ],
      "Answer": "A. 7/12",
      "Points": 5
    },
    {
      "Id": 3,
      "Type": "true_false",
      "Text": "The fractions 2/3 and 8/12 are equivalent.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 2
    },
    {
      "Id": 4,
      "Type": "multiple_choice",
      "Text": "Which of the following is an improper fraction?",
      "Options": [
        "A. 13/12",
        "B. 4/5",
        "C. 2/3",
        "D. 5/6"
      ],
      "Answer": "A. 13/12",
      "Points": 5
    },
    {
      "Id": 5,
      "Type": "fill_blank",
      "Text": "The fraction with numerator 3 and denominator 10 is _____.",
      "Options": [],
      "Answer": "3/10",
      "Points": 3
    },
    {
      "Id": 6,
      "Type": "word_problem",
      "Text": "A smoothie recipe requires 2/5 cup of yogurt per serving. If Omar makes 7 servings, how much yogurt will he use in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Total yogurt = servings \u00D7 yogurt per serving\nStep 2: Total yogurt = 7 \u00D7 2/5 = 14/5\nStep 3: Convert to mixed number: 14/5 = 2 4/5\nAnswer: 2 4/5 cups",
      "Points": 15
    },
    {
      "Id": 7,
      "Type": "multiple_choice",
      "Text": "Which fraction is equivalent to 6/8?",
      "Options": [
        "A. 9/12",
        "B. 12/18",
        "C. 8/14",
        "D. 5/6"
      ],
      "Answer": "A. 9/12",
      "Points": 5
    },
    {
      "Id": 8,
      "Type": "true_false",
      "Text": "A mixed number is always less than 1.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "False",
      "Points": 2
    },
    {
      "Id": 9,
      "Type": "word_problem",
      "Text": "A hiker travels 1 1/4 miles before lunch and 2 2/3 miles after lunch. How far does the hiker travel in total? Show your working.",
      "Options": [],
      "Answer": "Step 1: Convert to improper fractions: 1 1/4 = 5/4, 2 2/3 = 8/3\nStep 2: Find common denominator (12): 5/4 = 15/12, 8/3 = 32/12\nStep 3: Add: 15/12 \u002B 32/12 = 47/12\nStep 4: Convert to mixed number: 47/12 = 3 11/12\nAnswer: 3 11/12 miles",
      "Points": 15
    },
    {
      "Id": 10,
      "Type": "fill_blank",
      "Text": "Reduce 36/48 to lowest terms: _____.",
      "Options": [],
      "Answer": "3/4",
      "Points": 3
    },
    {
      "Id": 11,
      "Type": "multiple_choice",
      "Text": "Which fraction is the greatest?",
      "Options": [
        "A. 3/7",
        "B. 4/9",
        "C. 5/12",
        "D. 2/5"
      ],
      "Answer": "B. 4/9",
      "Points": 5
    },
    {
      "Id": 12,
      "Type": "true_false",
      "Text": "On a number line, 5/8 is located to the right of 1/2.",
      "Options": [
        "True",
        "False"
      ],
      "Answer": "True",
      "Points": 2
    },
    {
      "Id": 13,
      "Type": "short_answer",
      "Text": "In 2\u20133 sentences, explain the difference between proper fractions, improper fractions, and mixed numbers. Give one example of each.",
      "Options": [],
      "Answer": "Model answer: A proper fraction has a numerator smaller than its denominator (e.g., 3/5), so its value is less than 1. An improper fraction has a numerator greater than or equal to its denominator (e.g., 7/4). A mixed number combines a whole number and a proper fraction (e.g., 1 3/4).",
      "Points": 10
    },
    {
      "Id": 14,
      "Type": "word_problem",
      "Text": "A pitcher holds 3 liters of juice. Each glass holds 3/8 liter. How many full glasses can be poured from the pitcher? Show your working.",
      "Options": [],
      "Answer": "Step 1: Number of glasses = total juice \u00F7 juice per glass\nStep 2: Number of glasses = 3 \u00F7 (3/8)\nStep 3: Divide by a fraction: 3 \u00D7 8/3 = 8\nAnswer: 8 full glasses",
      "Points": 15
    }
  ],
  "TotalPoints": 92
}