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Simplify Fractions with GCF

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Simplify Fractions with GCF

A team is preparing food packs for a community picnic. Help them write each fraction in its simplest form. To simplify, divide the numerator and denominator by their greatest common factor (GCF). A fraction is in simplest form when the numerator and denominator have no common factor greater than 1.

Spot the simplest form

Choose the simplest equivalent fraction for each picnic pack.

1.Three of the 12 mini muffins in a pack are blueberry. Which fraction shows the blueberry share in simplest form?
  • 1/4
  • 3/9
  • 4/12
  • 1/3
2.Six of the 18 juice boxes are apple flavour. Simplify the fraction of juice boxes that are apple.
  • 1/3
  • 2/3
  • 3/6
  • 6/12
3.Fifteen of 35 fruit pieces are grapes. Which is the simplest fraction for the grape share?
  • 3/7
  • 5/7
  • 3/5
  • 15/20
4.Fourteen of 21 sandwiches are vegetarian. Choose the simplest fraction for the vegetarian share.
  • 2/3
  • 3/2
  • 7/10
  • 14/18

Show your GCF thinking

For each fraction, find the GCF of the numerator and denominator, then divide both by it.

5.A tray has 24 savoury rolls, and 18 are cheese rolls. Simplify the fraction that are cheese. Show the GCF and the division you use.
6.A platter has 14 carrot sticks among 42 vegetable sticks. Find the GCF of 14 and 42, then simplify 14/42.
7.The picnic team packed 28 oat biscuits in a tin of 42 biscuits. Simplify 28/42 and explain why your answer is in simplest form.

Picnic pack quick check

Write each fraction in simplest form. Include a GCF or a division step for at least one.

8.Simplify 9/15, the fraction of a snack box filled with crackers.
9.Simplify 27/36, the fraction of a water jug that has been poured out.
10.A picnic game has 32 blue counters and 48 red counters. Simplify the fraction of all counters that are blue. (Hint: the total is 32 + 48.)

2 printable pages

  • Simplify Fractions with GCF, page 1 of 2: Spot the simplest form, Show your GCF thinking

    Page 1

  • Simplify Fractions with GCF, page 2 of 2: Picnic pack quick check

    Page 2

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