Math Grade 4-5

Math: Simplifying Fractions to Lowest Terms

Use common factors to write equivalent fractions

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Use common factors to write equivalent fractions

Math - Grade 4-5

Instructions: Read each problem carefully. Find a common factor for the numerator and denominator, then simplify the fraction to lowest terms. Show your work in the space provided.
  1. 1
    A fraction bar divided into eight equal parts with six parts shaded blue.

    Simplify 6/8 to lowest terms.

  2. 2
    A fraction bar divided into fifteen equal parts with ten parts shaded orange.

    Simplify 10/15 to lowest terms.

  3. 3
    A grid fraction model with eighteen equal parts and twelve shaded green.

    Simplify 12/18 to lowest terms.

  4. 4
    Twelve students are shown, with nine wearing blue shirts.

    A class has 9 students wearing blue shirts out of 12 students total. Write the fraction of students wearing blue shirts in lowest terms.

  5. 5
    A fraction bar divided into twenty-one equal parts with fourteen parts shaded purple.

    Simplify 14/21 to lowest terms.

  6. 6
    A twenty-part grid with sixteen parts shaded teal.

    Simplify 16/20 to lowest terms.

  7. 7
    Two aligned fraction bars show eight twelfths matching two thirds.

    Which fraction is 8/12 in lowest terms: 4/6, 2/3, or 1/2? Explain your choice.

  8. 8
    A twenty-four-part grid with eighteen parts shaded yellow.

    Simplify 18/24 to lowest terms.

  9. 9
    A thirty-part grid with twenty-five parts shaded coral.

    Simplify 25/30 to lowest terms.

  10. 10
    A garden bed with ten plants, six of them tomato plants.

    A garden has 6 tomato plants out of 10 total plants. Write the fraction of tomato plants in lowest terms.

  11. 11
    A thirty-six-part grid with twenty-seven parts shaded blue-green.

    Simplify 27/36 to lowest terms.

  12. 12
    A fraction bar divided into seven equal parts with five parts shaded lavender.

    Is 5/7 already in lowest terms? Explain your answer.

  13. 13
    A twenty-eight-part grid with twenty parts shaded green.

    Simplify 20/28 to lowest terms.

  14. 14
    A ribbon divided into sixteen equal sections with twelve sections colored green.

    A ribbon is divided into 16 equal sections. 12 sections are colored green. Write the green part of the ribbon as a fraction in lowest terms.

  15. 15
    A forty-five-part grid with thirty parts shaded blue.

    Simplify 30/45 to lowest terms and explain the steps you used.

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