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Math Grade 4-5

Equivalent Fractions: Finding Equal Parts

Use equal parts to name fractions with the same value

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Practice finding equivalent fractions by splitting wholes into equal parts, using models, and multiplying or dividing the numerator and denominator by the same number.

Read each problem carefully. Show your work in the space provided. Use equal parts to explain why the fractions are equivalent.

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Use equal parts to name fractions with the same value

Math - Grade 4-5

Instructions: Read each problem carefully. Show your work in the space provided. Use equal parts to explain why the fractions are equivalent.
  1. 1
    Rectangle divided into four equal parts with the left half shaded.

    A rectangle is divided into 2 equal parts, and 1 part is shaded. If each part is split into 2 equal smaller parts, what fraction of the rectangle is shaded now?

  2. 2
    Two fraction strips showing one third equal to two sixths.

    Fill in the blank to make the fractions equivalent: 1/3 = ___/6.

  3. 3
    Two fraction strips showing two fifths equal to four tenths.

    Fill in the blank to make the fractions equivalent: 2/5 = ___/10.

  4. 4
    Fraction strip divided into eight parts with six parts shaded.

    A fraction strip shows 3/4 shaded. If each fourth is split into 2 equal parts, what equivalent fraction has a denominator of 8?

  5. 5
    Two aligned fraction strips showing two thirds and four sixths as the same amount.

    Are 2/3 and 4/6 equivalent fractions? Explain your answer.

  6. 6
    Two fraction strips showing three fifths equal to nine fifteenths.

    Write an equivalent fraction for 3/5 with a denominator of 15.

  7. 7
    Two circles showing two sixths and one third as the same shaded amount.

    A circle is divided into 6 equal slices, and 2 slices are shaded. What simpler fraction names the same shaded part?

  8. 8
    Two fraction strips showing four eighths equal to one half.

    Fill in the blank to make the fractions equivalent: 4/8 = ___/2.

  9. 9
    A ten-square grid half shaded next to a matching rectangle with one half shaded.

    Mia shaded 5 out of 10 equal squares in a grid. Leo shaded 1 out of 2 equal parts in a matching rectangle. Did they shade the same amount? Explain.

  10. 10
    Two fraction strips showing three fourths equal to nine twelfths.

    Find the missing denominator: 3/4 = 9/___ .

  11. 11
    Two fraction strips showing two fourths and one half as the same amount.

    Which fraction is equivalent to 2/4: 1/4, 1/2, or 3/4? Explain how you know.

  12. 12
    Number line divided into sixths with a dot at the same position as one third.

    A number line from 0 to 1 is divided into 3 equal parts. The point at 1/3 is marked. If the same number line is divided into 6 equal parts, what fraction is at the same point?

  13. 13
    Three fraction strips showing one fourth and two equivalent shaded amounts.

    Write two fractions that are equivalent to 1/4.

  14. 14
    Two fraction strips showing six twelfths equal to one half.

    Simplify the fraction 6/12 by finding an equivalent fraction with smaller numbers.

  15. 15
    Two circles showing two sixths and one third with equal shaded areas.

    Jamal says 2/6 is equivalent to 1/3 because both fractions can show the same amount of a whole. Draw or describe equal parts to prove he is correct.

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