MATHEMATICS - MULTIPLYING AND DIVIDING FRACTIONS

Dividing Fractions Worksheet

  • Focuses on dividing fractions and understanding the process
  • Includes real-world applications like measuring and estimating
  • Covers error analysis in fraction division
  • Designed for Grade 6 students with medium difficulty

Here are the first 3 questions. Click “View all questions” to see the complete assessment.

Q1.

What is 3/5 ÷ 2/7?

  1. A) 6/35
  2. B) 10/21
  3. C) 5/6
  4. D) 21/10

Q2.

Which proper fraction makes 4/9 ÷ x = 2/3 true?

  1. A) 1/3
  2. B) 3/4
  3. C) 2/3
  4. D) 8/27

Q3.

A jug contains 3/4 L of juice. Each cup holds 1/8 L. How many full cups can be filled?

  1. A) 6 cups
  2. B) 4 cups
  3. C) 8 cups
  4. D) 5 cups

Q4.

Which whole number is the best estimate for 7/8 ÷ 3/10?

  1. A) 3
  2. B) 2
  3. C) 1
  4. D) 4

Q5.

Which calculation correctly shows how to find 5/6 ÷ 3/4?

  1. A) 5/6 × 4/3 = 10/9
  2. B) 5/6 × 3/4 = 5/8
  3. C) 6/5 × 3/4 = 9/10
  4. D) (5 ÷ 3)/(6 ÷ 4) = 10/9

Q6.

Let R = 2/3 ÷ 1/6 and S = 2/3 ÷ 5/6. Which statement is true?

  1. A) S = 5R
  2. B) R = 2S
  3. C) R = 5S
  4. D) R = S

Q7.

A student writes 4/5 ÷ 2/3 = (4 × 2)/(5 × 3) = 8/15. Which statement best explains the student's error?

  1. A) The numerators should have been added before multiplying the denominators.
  2. B) The second fraction should have been subtracted from the first fraction.
  3. C) The first fraction should stay unchanged, and the reciprocal of the second fraction should be used.
  4. D) Both fractions should have been changed to their reciprocals.

Q8.

A ribbon is 5/6 m long. It is cut into pieces that are each 1/9 m long. What is the greatest number of full pieces that can be cut?

  1. A) 7
  2. B) 9
  3. C) 6
  4. D) 8

Q9.

The fraction strip shows a shaded part of one whole. How many groups of 1/8 are contained in the shaded part?

Diagram for question 9: The fraction strip shows a shaded part of one whole. How many groups of 1/8 are contained in the shaded part?
  1. A) 4
  2. B) 6
  3. C) 7
  4. D) 5

Q10.

The number line is divided into equal intervals. What is the value at point B divided by the value at point A?

Diagram for question 10: The number line is divided into equal intervals. What is the value at point B divided by the value at point A?
  1. A) 3
  2. B) 2/3
  3. C) 2
  4. D) 1/3

What this assessment covers

Concepts tested

  • Dividing fractions by fractions
  • Estimating results of fraction division
  • Understanding and correcting errors in fraction division
  • Applying fraction division to real-world scenarios
  • Interpreting fraction division on number lines

Question Mix

  • Medium questions included

Skills you build

  • Perform fraction division calculations
  • Estimate results of fraction operations
  • Analyze and correct mathematical errors
  • Apply mathematical concepts to practical situations
  • Interpret mathematical representations like number lines

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