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 Free flashcards from Peabody at peabody.kids/flashcards/math-fractions-skills