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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?
- 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.
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.
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