Worksheet: Simplifying Fractions: Division with Models

In this worksheet, we will practice using models to find the simplest form of a proper fraction and explaining how this relates to dividing the numerator and denominator by the same number.

Q1:

Anthony and Jacob have two different whiteboards, as shown.

They decide to color them. Anthony finishes his board as shown.

Then, Jacob finishes his.

Write the fraction that represents Anthony’s whiteboard.

  • A420
  • B416
  • C424

Write the fraction that represents Jacob’s whiteboard.

  • A110
  • B16
  • C18

Is Jacob’s model the simplest form of Anthony’s model?

  • ANo
  • BYes

Q2:

Using the following model, simplify 1216.

  • A1416
  • B34
  • C1016
  • D24

Q3:

Given the following model, which of the following is the simplest form of 26?

  • A
  • B
  • C

Q4:

Using the following model, simplify 46.

  • A56
  • B23
  • C45
  • D13

Q5:

Given the following model, fill in the blank to simplify: 68=.

  • A14
  • B34
  • C38
  • D18

Q6:

Which of the following fractions represents this model?

  • A424
  • B421
  • C821
  • D824

Which of the following fractions represents this model?

  • A25
  • B14
  • C23
  • D13

Using the previous models, are the two fractions equal?

  • AYes
  • BNo

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