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Cogito

Grade 5 Math · Chapter 5 · Lesson 2

Practice Worksheet

Adding Unlike Fractions

Match, then count.

10 problems · about 15 minutes · 5.NF.A.1

NameDate

Figure — use these to answer the problems

Two fractions in the same unit. The third bar is the answer.
3/6
2/6
5/6

3 sixths plus 2 sixths is 5 sixths, which is written 5/6.

First top number3
First bottom number6
Second top number2
Second bottom number6
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

2 problems

  1. From “Finding a Common Denominator”

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

    Answer

  2. From “Dividing Decimals”

    How many halves fit into 9?

    Answer

Warm Up

Straightforward practice. Get the method working first.

4 problems

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

    Answer

  2. What are the two steps for adding unlike fractions?

    • Match the units, then count them.
    • Add the tops and add the bottoms.

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

    Answer

  4. 1/4 + 2/5, in twentieths. What is the top number?

    Answer

Build It Up

The same ideas with more to keep track of.

2 problems

  1. 3/4 − 1/6, in twelfths. What is the top number?

    Answer

  2. 5/6 − 1/2, in sixths. What is the top number?

    Answer

Stretch Yourself

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

2 problems

  1. The Two Jugs

    1/2 litre plus 1/4 litre, in quarters. What is the top number?

    Answer

  2. The Walk

    2/3 mile plus 1/6 mile, in sixths. What is the top number?

    Answer