{
 "source": "https://peabody.kids/flashcards/math-fractions-skills",
 "id": "math-fractions-skills",
 "title": "Fractions: Terms and Operations",
 "category": "math",
 "subject": "Math",
 "levels": [
  "3-5",
  "6-8"
 ],
 "description": "Fraction vocabulary and how to add, subtract, multiply, divide, simplify and compare fractions.",
 "tags": [
  "fractions",
  "operations"
 ],
 "frontLabel": "Question",
 "backLabel": "Answer",
 "cards": [
  [
   "What does the denominator tell you?",
   "How many equal parts the whole is divided into"
  ],
  [
   "What does the numerator tell you?",
   "How many of those parts are being counted"
  ],
  [
   "Proper fraction",
   "Numerator is smaller than denominator, like 3/5"
  ],
  [
   "Improper fraction",
   "Numerator is equal to or larger than denominator, like 9/4"
  ],
  [
   "Mixed number",
   "A whole number plus a fraction, like 2 1/4"
  ],
  [
   "Equivalent fractions",
   "Different fractions with the same value"
  ],
  [
   "How to make an equivalent fraction",
   "Multiply or divide top and bottom by the same number"
  ],
  [
   "Simplify 6/8",
   "3/4"
  ],
  [
   "Simplify 10/15",
   "2/3"
  ],
  [
   "Simplify 12/18",
   "2/3"
  ],
  [
   "Simplify 24/36",
   "2/3"
  ],
  [
   "Simplify 15/45",
   "1/3"
  ],
  [
   "Simplify 18/24",
   "3/4"
  ],
  [
   "Simplify 20/50",
   "2/5"
  ],
  [
   "Convert 7/4 to a mixed number",
   "1 3/4"
  ],
  [
   "Convert 11/3 to a mixed number",
   "3 2/3"
  ],
  [
   "Convert 2 1/2 to an improper fraction",
   "5/2"
  ],
  [
   "Convert 3 2/5 to an improper fraction",
   "17/5"
  ],
  [
   "Convert 1 3/4 to an improper fraction",
   "7/4"
  ],
  [
   "1/2 + 1/4",
   "3/4"
  ],
  [
   "1/3 + 1/6",
   "1/2"
  ],
  [
   "2/5 + 1/10",
   "1/2"
  ],
  [
   "3/8 + 1/4",
   "5/8"
  ],
  [
   "1/2 + 1/3",
   "5/6"
  ],
  [
   "3/4 + 2/3",
   "1 5/12"
  ],
  [
   "3/4 − 1/4",
   "1/2"
  ],
  [
   "5/6 − 1/3",
   "1/2"
  ],
  [
   "7/8 − 1/2",
   "3/8"
  ],
  [
   "2/3 − 1/4",
   "5/12"
  ],
  [
   "1 − 3/5",
   "2/5"
  ],
  [
   "2/3 × 3/4",
   "1/2"
  ],
  [
   "1/2 × 1/2",
   "1/4"
  ],
  [
   "3/5 × 5/6",
   "1/2"
  ],
  [
   "2/7 × 14",
   "4"
  ],
  [
   "1/3 of 12",
   "4"
  ],
  [
   "3/4 of 20",
   "15"
  ],
  [
   "2/5 of 25",
   "10"
  ],
  [
   "1/2 ÷ 1/4",
   "2"
  ],
  [
   "3/4 ÷ 3/8",
   "2"
  ],
  [
   "2/3 ÷ 4",
   "1/6"
  ],
  [
   "4 ÷ 1/2",
   "8"
  ],
  [
   "How to divide fractions",
   "Multiply by the reciprocal of the second fraction"
  ],
  [
   "Reciprocal of 5/7",
   "7/5"
  ],
  [
   "Reciprocal of 4",
   "1/4"
  ],
  [
   "Common denominator",
   "A shared multiple of the denominators, needed for adding and subtracting"
  ],
  [
   "Least common denominator of 1/4 and 1/6",
   "12"
  ],
  [
   "Least common denominator of 2/3 and 3/5",
   "15"
  ],
  [
   "Which is greater, 3/4 or 2/3?",
   "3/4"
  ],
  [
   "Which is greater, 5/8 or 3/5?",
   "5/8"
  ],
  [
   "Which is smaller, 1/3 or 2/7?",
   "2/7"
  ],
  [
   "Compare 4/9 and 1/2",
   "4/9 < 1/2"
  ],
  [
   "Order 1/2, 1/3, 1/4 from least to greatest",
   "1/4, 1/3, 1/2"
  ],
  [
   "Unit fractions get smaller as the denominator",
   "Gets bigger"
  ],
  [
   "Benchmark fractions",
   "0, 1/2 and 1, used for comparing and estimating"
  ],
  [
   "Is 5/9 more or less than 1/2?",
   "More"
  ],
  [
   "Is 3/8 more or less than 1/2?",
   "Less"
  ],
  [
   "Fraction of a day that is 6 hours",
   "1/4"
  ],
  [
   "Fraction of an hour that is 20 minutes",
   "1/3"
  ],
  [
   "Fraction of a dollar that is a quarter",
   "1/4"
  ],
  [
   "Fraction as division",
   "a/b means a ÷ b"
  ],
  [
   "1/0",
   "Undefined; you cannot divide by zero"
  ],
  [
   "0/5",
   "0"
  ],
  [
   "Fraction bar also means",
   "Divide"
  ],
  [
   "Fraction of a circle in a half turn",
   "1/2"
  ],
  [
   "Number line fraction: halfway between 0 and 1",
   "1/2"
  ],
  [
   "Complex fraction",
   "A fraction with a fraction in the numerator or denominator"
  ]
 ]
}