Math With Mr DJ

Grade 5 · Number & Operations — Fractions · 5.NF.B.4

Multiplying Fractions Worksheets

Free, printable, and ready to teach: a practice worksheet, homework, an exit ticket, and an answer key with step-by-step solutions — plus lesson slides you can edit. No sign-up needed.

First page of the multiplying fractions practice worksheet Open the practice worksheet
Key idea

× means “of”. Tops times tops, bottoms times bottoms — no common denominator. A fraction of a whole number is two steps. Mixed numbers: convert to improper fractions first.

Sample problems

  1. Work out 1/2 × 1/3
  2. Work out 2/3 × 1/4
  3. Work out 3/4 × 2/5
  4. Work out 2/3 of 12, 3/4 of 20 and 5/6 of 18.

Common mistakes to watch for

  • Answered 3 for the second, having divided by 6 and stopped. That is the first of two steps — an unfinished method rather than a wrong one, and worth marking as such.
  • Answered 2¼ by multiplying the wholes and the fractions separately. It is SMALLER than 2½, which is impossible when multiplying by 1½ — more than one lot of something exceeds it.
  • Said Sam “does not need a common denominator for multiplying”. True and it is the rule without the reason, so it will not survive the next mixed-up moment. The reason is that adding COUNTS pieces and so needs them the same size, while multiplying MAKES a new size.

The answer key explains each one, so you can tell what a wrong answer means.

How to use this set

  1. Teach with the slides (about 15 minutes), or watch the video together.
  2. Practice with the worksheet. Questions climb from fluency to application to reasoning.
  3. Check understanding with the exit ticket.
  4. Mark with the answer key — each answer shows the steps and the most likely mistake.

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