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Exploring Equivalent Fractions
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Exploring Equivalent Fractions
Help plan servings for a busy food truck. Equivalent fractions name the same amount. To make one, multiply or divide the numerator and denominator by the same non-zero number. Show your thinking where asked.
Compare the portions
Each bar shows one whole divided into equal parts. Shaded parts are shown in blue.
A
B
C
1.The food truck serves a portion of 2/3. Which fraction names the same amount?
- 4/6
- 3/5
- 2/5
- 5/6
2.Which two bars show equivalent portions? Write both labels and the fractions they represent.
3.Reduce 18/24 to its simplest form. State the common factor you divided by.
4.A cook writes 5/8 = 20/32. Is the statement true or false? Explain by describing what happened to the numerator and denominator.
5.Fill in the missing number: 7/9 = __/45. Show the operation you use.
6.A tray has 12 of its 16 mini pies ready to serve. Write this fraction in simplest form, then give another equivalent fraction with a denominator of 8.
7.Match each fraction to an equivalent fraction. Use each option once: 3/4, 5/6, 2/5, 7/10.
- 6/8
- 15/18
- 8/20
- 21/30
- 5/6
- 7/10
- 2/5
- 3/4
8.The specials board says 9/12 of the sandwiches are vegetarian. Simplify the fraction and explain what your simplified fraction tells you.
9.A customer claims 4/7 = 12/21. Verify the claim by showing the same operation applied to both parts of 4/7.
10.Create two different fractions equivalent to 3/5. For each, write the multiplier you used and explain why the value stays the same.
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