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Equivalent Halves and Tenths

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Equivalent Halves and Tenths

Help a food truck prepare fair portions. Each model must show equal-sized parts. Equivalent fractions name the same amount, even when the parts are split differently.

Build a half

Use the fraction bars to compare halves and tenths.

1.The first bar is split into 2 equal parts, with 1 part shaded. The second is split into 10 equal parts, with 5 parts shaded. Write a fraction for each shaded amount, then complete: ___ = ___.
2.Ari says, “5/10 is greater than 1/2 because 5 is greater than 1.” Is Ari correct? Explain using the idea of equal-sized parts.
3.A recipe needs half a litre of juice. Which amount is the same as 1/2 litre?
00.10.20.30.40.50.60.70.80.91
  • 0.2 L
  • 0.5 L
  • 5 L
  • 1.5 L

Solve the stall puzzles

Check that each whole is divided into equal parts before deciding what the fraction means.

4.The stall has a tray of 10 equal brownie pieces. Five pieces are sold. What fraction of the tray was sold? Give an equivalent fraction with denominator 2.
5.Mere marks a point halfway between 0 and 1 on a number line. What decimal is at the point? Write the same value as a fraction in tenths.
00.10.20.30.40.50.60.70.80.91
6.True or false? 1/2, 5/10 and 0.5 all describe the same amount. Explain how you can check.
7.Fill in the missing numerator: __/10 = 1/2. How do you know?
8.Match each form of one-half to its description: 1/2, 5/10, 0.5. Descriptions: one out of two equal parts; five tenths; five tenths written as a decimal.
  • 1/2
  • 5/10
  • 0.5
  • five tenths
  • one out of two equal parts
  • five tenths written as a decimal
9.A class shares a 10-piece fruit platter equally. Five pieces are apple. What fraction of the platter is apple? Is that amount more than, less than, or equal to one-half?
10.Make your own fraction-bar model of one-half split into tenths. Shade the correct number of parts, then write the matching fraction and decimal.

3 printable pages

  • Equivalent Halves and Tenths, page 1 of 3: Build a half

    Page 1

  • Equivalent Halves and Tenths, page 2 of 3: Solve the stall puzzles

    Page 2

  • Equivalent Halves and Tenths, page 3 of 3: 8. Match each form of one-half to its description: 1/2, 5/10, 0.5. Descriptions: one out

    Page 3

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