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Math Grade 2-3 Answer Key

Unit Fractions: 1/2, 1/3, 1/4, 1/6, and 1/8

Naming one equal part of a whole

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Unit Fractions: 1/2, 1/3, 1/4, 1/6, and 1/8

Naming one equal part of a whole

Math - Grade 2-3

Instructions: Read each problem carefully. Write the unit fraction for one equal part. Show your thinking in the space provided.
  1. 1

    A sandwich is cut into 2 equal pieces. You eat 1 piece. What unit fraction of the sandwich did you eat?

    The bottom number tells how many equal pieces are in the whole.

    You ate 1/2 of the sandwich because 1 out of 2 equal pieces was eaten.
  2. 2

    A rectangle is divided into 3 equal parts. One part is shaded. Write the unit fraction that shows the shaded part.

    The shaded part is 1/3 of the rectangle because 1 out of 3 equal parts is shaded.
  3. 3

    A pie is cut into 4 equal slices. What fraction names one slice?

    One out of four equal parts is called one fourth.

    One slice is 1/4 of the pie because the whole pie is divided into 4 equal slices.
  4. 4

    A granola bar is divided into 6 equal sections. Mia breaks off 1 section. What unit fraction of the bar did Mia break off?

    Mia broke off 1/6 of the granola bar because she took 1 of the 6 equal sections.
  5. 5

    A paper strip is divided into 8 equal parts. One part is colored blue. Write the fraction for the blue part.

    Count the total number of equal parts for the denominator.

    The blue part is 1/8 of the paper strip because 1 out of 8 equal parts is colored.
  6. 6

    Fill in the blank: In the fraction 1/4, the 4 tells how many equal parts are in the whole. The whole has blank equal parts.

    The whole has 4 equal parts because the denominator in 1/4 is 4.
  7. 7

    Fill in the blank: One equal part of a whole divided into 3 equal parts is called blank.

    Use the denominator 3 to name the fraction.

    One equal part of a whole divided into 3 equal parts is called 1/3 or one third.
  8. 8

    Which unit fraction is larger: 1/2 or 1/8? Explain how you know.

    Think about sharing one cookie with 2 people or with 8 people.

    1/2 is larger because a whole divided into 2 equal parts has bigger pieces than a whole divided into 8 equal parts.
  9. 9

    Which unit fraction is smaller: 1/3 or 1/6? Explain how you know.

    1/6 is smaller because a whole divided into 6 equal parts has smaller pieces than a whole divided into 3 equal parts.
  10. 10

    Look at a circle divided into 6 equal slices. If 1 slice is shaded, what unit fraction is shaded?

    The numerator is 1 because only one slice is shaded.

    The shaded part is 1/6 of the circle because 1 of the 6 equal slices is shaded.
  11. 11

    A square is split into 4 equal smaller squares. One smaller square is shaded. What fraction of the large square is shaded?

    The shaded part is 1/4 of the large square because 1 of the 4 equal smaller squares is shaded.
  12. 12

    Order these unit fractions from largest to smallest: 1/2, 1/4, 1/8.

    For unit fractions, the smaller denominator makes the larger piece.

    The fractions from largest to smallest are 1/2, 1/4, and 1/8 because fewer equal parts make larger pieces.
  13. 13

    Order these unit fractions from smallest to largest: 1/3, 1/6, 1/2.

    The fractions from smallest to largest are 1/6, 1/3, and 1/2 because more equal parts make smaller pieces.
  14. 14

    A ribbon is cut into 8 equal pieces. Sam uses 1 piece. Lee says Sam used 1/6 of the ribbon. Is Lee correct? Explain.

    Check how many equal pieces the whole ribbon has.

    Lee is not correct. Sam used 1/8 of the ribbon because the ribbon was cut into 8 equal pieces and Sam used 1 piece.
  15. 15

    Draw or describe a shape that shows 1/3. Make sure the parts are equal.

    A correct drawing or description shows one whole divided into 3 equal parts with 1 part shaded or chosen. That represents 1/3.
LivePhysics™.com Math - Grade 2-3 - Answer Key