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Fraction Rules Reference Guide

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Fraction Rules Reference Guide

Use the rule cards to help a team prepare kai for a picnic. Show working where asked, and simplify answers when possible.

Rule cards

ADD OR SUBTRACT: Make denominators the same, then add or subtract the numerators. Example: 1/2 + 1/3 = 3/6 + 2/6 = 5/6. MULTIPLY: Multiply numerators together and denominators together. Example: 2/3 × 1/4 = 2/12 = 1/6. DIVIDE: Keep the first fraction, flip the second fraction, then multiply. Example: 1/2 ÷ 1/4 = 1/2 × 4/1 = 2. SIMPLIFY: Divide numerator and denominator by the same factor. Example: 8/12 = 2/3. VOCABULARY: The numerator is the top number; the denominator is the bottom number. Equivalent fractions have the same value, such as 1/2 and 2/4. A reciprocal is a fraction flipped over, such as 2/3 becoming 3/2.

1.The picnic team has 3/8 of a tray of cheese scones and adds 2/8 of a tray. How much of a tray do they have altogether? Simplify if possible.
2.A jug is 3/4 full of lemonade. The team pours out 1/4 of the jug. What fraction remains?
3.The team combines 1/2 of a bag of crackers with 1/4 of a bag. What fraction of a bag is that?
  • 1/6
  • 2/6
  • 3/4
  • 2/4
4.A recipe uses 2/3 of a cup of oats per batch. How many cups of oats are needed for 3 batches?
5.A fruit loaf is cut into 5 equal pieces. The team takes 2/3 of a loaf. How many loaf-pieces is that?
6.There is 3/4 of a litre of soup. Each bowl holds 1/8 of a litre. How many bowls can be filled?
7.Simplify the fraction 12/18. Show the common factor you divide by.
8.Which fractions are equivalent to 1/2? Choose all that apply.
  • 2/4
  • 3/5
  • 4/8
  • 5/10
9.True or false: 7/5 is a proper fraction because its numerator is larger than its denominator. Correct the statement if it is false.
TrueFalse
10.A friend says 2/3 ÷ 1/6 means 2/3 × 1/6. Explain the mistake and calculate the correct answer.
11.A picnic loaf needs 3/4 cup of flour. You have already added 1/2 cup. How much more flour is needed? Show how you make the denominators match.

2 printable pages

  • Fraction Rules Reference Guide, page 1 of 2: Rule cards

    Page 1

  • Fraction Rules Reference Guide, page 2 of 2: 5. A fruit loaf is cut into 5 equal pieces. The team takes 2/3 of a loaf. How many…

    Page 2

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