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Cogito

Grade 5 Math · Chapter 5 · Lesson 3

Practice Worksheet

Mixed Numbers with Regrouping

Borrow a whole one and cut it up.

10 problems · about 16 minutes · 5.NF.A.1

NameDate

Figure — use these to answer the problems

Set a top number bigger than the bottom and watch it pass 1.
6/4
4/4
0126/44/4

6/4 is greater than 4/4.

First top number6
First bottom number4
Second top number4
Second bottom number4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Adding Unlike Fractions”

    2/3 + 1/4, in twelfths. What is the top number?

    Answer

  2. From “Finding a Common Denominator”

    2/3 written in fifteenths. What is the top number?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

  1. 4 1/3 − 2 2/3. How many whole ones in the answer?

    Answer

  2. What do you do when the fraction you are taking away is too big?

    • Borrow a whole one and cut it up.
    • Swap the two numbers round.

  3. 1 1/2 + 2 1/2. What is the answer?

    Answer

  4. 3 1/5 − 1 3/5. How many whole ones in the answer?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. How many fifths are in one whole?

    Answer

  2. 2 3/4 + 1 1/4. What is the answer?

    Answer

Stretch Yourself

Mixed problems. Work out what kind of question it is before you start.

2 problems

  1. The Two Planks

    2 3/4 metres plus 1 3/4 metres. How many whole metres in the answer?

    Answerwhole metres

  2. The Ribbon

    5 1/4 metres minus 2 3/4 metres. How many whole metres in the answer?

    Answerwhole metres