fraction multiplication with union of rows and columns

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What kind of chain is edible? Color the union of the two fractions multiplied. Then solve. (Art: Blue x Yellow = Green “union”) Fraction = “Part divided by total” = 1. ½ × ¾ = ( C ) 2. ½ x ¼ = ___ ( F ) 3. ⅝ × ½= ___ ( O ) 4. X ½ = ___ ( A ) 5. X = ___ ( D ) 6. X = ___ ( H ) 7. X = ___ ( I ) 8. X = ___ ( A ) 9. Probability of (roll “odd”, then roll “odd” on dice): x = = Another way: x 10. For the following problem: X = How many rows will be needed, if there are 6 column (& 24 3 8 or 3 out of 8 green 1 3 2 3 2 10 2 3 1 5 2 3 1 3 3 4 2 3 ¾ or 3 of 4 rows shaded yellow 3 6 ½ or 1 of 2 columns shaded blue Part Total 3 6 9 36 1 4 1 2 1 2 1 4 5 6 5 24

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Page 1: Fraction multiplication with union of rows and columns

What kind of chain is edible?Color the union of the two fractions multiplied. Then solve. (Art: Blue x Yellow = Green “union”)Fraction = “Part divided by total” =

1. ½ × ¾ =

( C )

2. ½ x ¼ = ___

( F )

3. ⅝ × ½= ___

( O )

4. X ½ = ___

( A )

5. X = ___

( D )

6. X = ___

( H )

7. X = ___

( I )

8. X = ___

( A )9. Probability of (roll “odd”, then roll

“odd” on dice): x = =

Another way: x =____ ( N )

10. For the following problem: X =

How many rows will be needed, if there are 6 column (& 24 total)? _____ ( O )

Answer: ____ ____ ____ ____ ____ C ____ ____ ____ ____ Mixed Fractions: Teacher Notes for More Activities (with colored pencils or paint)

38 or 3 out of 8 green

1 3

2 3

2 10

2 3

1 5

2 3

1 3

3 4

2 3

¾ or 3 of 4 rows shadedyellow

3 6

½ or 1 of 2 columns shaded blue

PartTotal

1 6

1 8

5 16

4 30

3 8

2 15

6 12

2 9

1 4

4

3 6

3 1

3 2

9 36

1 4

1 2

1 2

1 4

5 6

5 24

Page 2: Fraction multiplication with union of rows and columns

½x = = 1 and ½ (Another way to read is “½ of 3” is “1 ½”.)

1. Shade three whole shapes in yellow (to be consistent with the order of coloring as above.)

2. Then shade ½ of the total picture blue. (Two ways to shade: ½ of each of the 3 boxes or 1 ½ cells.)

3. Where there is both yellow and blue, that is the intersection. Color it green. 3 cells of the 6 total cells make 1 ½ of the original 3 shapes shown.

Step 1 After all three shapes are made yellow, then see Steps 2 and 3 in the boxes below:

Color half blue;Blue and yellow make green

Color half blue;Blue and yellow make green

Color half blue;Blue and yellow make green