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Equivalent Fractions Worksheet

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Equivalent Fractions Worksheet

A group is preparing sandwiches for a picnic. Equivalent fractions name the same amount, even when the numerator and denominator are different. To make an equivalent fraction, multiply or divide both parts by the same number. Answer each question and show your thinking where asked.

Spot the matches

Compare the fractions carefully. You may use the fraction bars to help you see how the same-sized whole can be split in different ways.

1.The picnic platter is divided into 2 equal parts, and 1 part is filled. Which fraction shows the same amount when the platter is divided into 6 equal parts?
  • 2/6
  • 3/6
  • 4/6
  • 1/6
2.A sandwich tray is split into 4 equal pieces, and 3 pieces are chosen. Which fraction is equivalent to 3/4?
  • 6/8
  • 3/8
  • 6/12
  • 9/16
3.Tick every fraction equivalent to 2/5. There may be more than one correct answer.
  • 4/10
  • 6/15
  • 8/20
  • 10/20
4.True or false: 5/6 and 15/18 are equivalent fractions. Give a short reason for your choice.
TrueFalse

Complete the picnic portions

Use the same multiplier or divisor on the numerator and denominator.

5.One quarter of a loaf is set aside. Complete the equivalent fraction: 1/4 = __/12.
6.Three of seven sandwiches are cheese. Complete the equivalent fraction: 3/7 = 9/__.
7.Two fifths of a jug of lemonade is poured. Complete the equivalent fraction: 2/5 = __/15.
8.A tray has 12 equal slices, and 8 are fruit slices. Complete the equivalent fraction: 8/12 = 2/__.
9.Match each fraction on the left to an equivalent fraction on the right. Use each right-hand fraction once.
  • 1/3
  • 3/4
  • 2/5
  • 1/2
  • 4/12
  • 6/8
  • 6/15
  • 3/6
10.The picnic organiser says 15/25 of the sandwiches are vegetarian. Simplify 15/25 to its lowest terms and explain the step you used.
11.Invent two different fractions equivalent to 2/3. For each one, show the number you multiplied both parts by.

3 printable pages

  • Equivalent Fractions Worksheet, page 1 of 3: Spot the matches

    Page 1

  • Equivalent Fractions Worksheet, page 2 of 3: Complete the picnic portions

    Page 2

  • Equivalent Fractions Worksheet, page 3 of 3: 11. Invent two different fractions equivalent to 2/3. For each one, show the number you…

    Page 3

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