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Fraction of a number

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Intros
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Lessons
  1. Fraction of a number using shapes
  2. Fraction of a number using fraction blocks
  3. Fraction of a number using number lines
  4. The 4 steps for fraction multiplication with a whole number
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Examples
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Lessons
  1. Number Lines and Fraction of a Number
    Use the number line to complete the multiplication sentence (fill in and/or analyze):
    1. 5 × 18\frac{1}{8} = ___

      Introduction to Fractions: Fraction of a Number
    2. 25\frac{2}{5} x 6 = ___

      Introduction to Fractions: Fraction of a Number


    3. Introduction to Fractions: Fraction of a Number


    4. Introduction to Fractions: Fraction of a Number
  2. Fraction Blocks and Fraction of a Number
    Use fraction blocks to solve for the fraction of each number.
    1. 4 × 16\frac{1}{6} = ?

      Introduction to Fractions: Fraction of a Number
    2. 23\frac{2}{3} × 6 = ?

      Introduction to Fractions: Fraction of a Number
    3. Which model shows the answer to 19\frac{1}{9} × 5?

      Introduction to Fractions: Fraction of a Number
    4. Which model shows the answer to 3 × 35\frac{3}{5}

      Introduction to Fractions: Fraction of a Number
  3. Fraction Multiplication for Fraction of a Number
    Use the steps for fraction multiplication to solve.
    • Hint: (1) put whole number over 1, (2) cross cancel, (3) multiply numerators; multiply denominators, (4) write in lowest terms
    1. 14 × 17\frac{1}{7} = ?
    2. 311\frac{3}{11} × 11 = ?
    3. 6 × 45\frac{4}{5} = ?
    4. 235\frac{2}{35} × 70 = ?
    5. 48 × 916\frac{9}{16} = ?
    6. Ben lives 5324\frac{53}{24} miles away from the mall. Trixie lives 6 times that distance from the mall. How many miles away from the mall does Trixie live?
  4. Figuring out Fraction Multiplication Backwards
    Fill in the blanks by working backwards.
    1. ? × 18\frac{1}{8} = 6
    2. 526\frac{5}{26} × ? = 526\frac{5}{26}
    3. ? × 19\frac{1}{9} = 0
    4. ? × 34\frac{3}{4} = 6
    5. 620\frac{6}{20} × ? = 712\frac{1}{2}
  5. Fraction of a Number Picture Problems
    Use the picture. Write the multiplication equation with a fraction and a whole number. Then, solve for the fraction of a number.

    1. Introduction to Fractions: Fraction of a Number

    2. Introduction to Fractions: Fraction of a Number

    3. Introduction to Fractions: Fraction of a Number
  6. Fraction of a Number: Word Problem
    Jerry Jepson Elementary School has a population of 380 students. Mrs. Kim's class has 14 girls and 10 boys.
    1. If 16\frac{1}{6} of the class is vegetarian, how many students are vegetarian?
    2. If 38\frac{3}{8} of the class has siblings, how many students have a brother or sister? How many students are only-children?
    3. If 738\frac{7}{38} of the school's students have pets how many students have pets? Out of these pet owners, 47\frac{4}{7} have dogs as pets; how many students have dogs?
    4. If 35\frac{3}{5} of the school wears glasses and 14\frac{1}{4} of Mrs. Kim's class wears glasses, what is the FRACTION of students wearing glasses in the class compared to the entire school?