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Cogito

Grade 3 Math · Chapter 5 · Lesson 10

Practice Worksheet

Fractions of Different Wholes

Half of what?

10 problems · about 13 minutes · 3.NF.A.3

NameDate

Figure — use these to answer the problems

Here both fractions share one whole, so the comparison is fair.
1/2
1/4
011/21/4

1/2 is greater than 1/4.

Left top number1
Left bottom number2
Right top number1
Right bottom number4
Figure 1

Warm-Up Review

From earlier lessons. Loosen up before the new work.

4 problems

  1. From “Fractions Greater Than One”

    How many fifths land on the 2?

    Answer

  2. From “Equivalent Fractions”

    How many sixths equal 1/3?

    Answer

  3. From “Comparing Fractions With the Same Top”

    Which is bigger, 3/4 or 3/6?

    • 3/4
    • 3/6

  4. From “Comparing Fractions With the Same Bottom”

    Which is bigger, 3/4 or 1/4?

    • 3/4
    • 1/4

Warm Up

Straightforward practice. Get the method working first.

3 problems

  1. Two same-size pizzas. Which is more, 3/4 or 1/2?

    • 3/4
    • 1/2

  2. What must be true before you compare two fractions?

    • They must be parts of the same whole.
    • They must have the same denominator.

  3. Is 1/2 always more than 1/3?

    • Only if they are parts of the same whole.
    • Yes, always.

Build It Up

The same ideas with more to keep track of.

1 problem

  1. Two same-size bars. Which is more, 2/3 or 2/5?

    • 2/3
    • 2/5

Stretch Yourself

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

2 problems

  1. Two Different Cakes

    Ana eats 1/2 of a small cake. Leo eats 1/4 of a huge cake. Who ate more cake?

    • You cannot tell without the cake sizes.
    • Ana, because 1/2 beats 1/4.

  2. The Same Cake

    Two people share one cake. One takes 1/2 and one takes 1/4. Who took more?

    • The one who took 1/2.
    • The one who took 1/4.