Consider the following expression..
Estimate
Word Problems
100

3/4 + 1/5 = 

3/4 x 5 = 15/20

1/5 x 4 = 4/20

15/20 + 4/20 = 19/20

100

2/3 + 1/6 =

Less than 1?

Between 1 and 2?

Greater than 2?

2/3 + 1/6 = Less than 1

100

Leslie made 3/6 of a ham sandwich. Her dog, Luna, decided to taste test 1/3 of the sandwich that she made. What fraction of the sandwich is left after Luna’s taste test?

A. 1/6

B. 2/3

C. 2/6

D. 1/2

3/6 - 1/3 (2) =

3/6 - 2/6 = 1/6

A. 1/6

200

3  3/4 + 2  1/5 = 

3  3/4 (5) + 2  1/5 (4) =

3  15/20 + 2  4/20 =

5  19/20

200

2  3/4  +  1  1/5 =

Less than 3?

Between 3 and 4?

Greater than 4?

2  3/4  +  1  1/5 = Between 3 and 4

200

Marty has been growing carrots in his garden this summer. On Monday he picked 1/5 gallon of carrots. On Tuesday he picked another 2/3 gallon of carrots.

ESTIMATE and then SOLVE.

 

ESTIMATE: Marty picked between 1/2 and 1 gallon of carrots. 

SOLVE: 1/5 (3) + 2/3 (5) = 3/15 + 10/15 = 13/15

Marty picked 13/15 gallons of carrots. 

300

5/6 - 3/8 =

5/6 (8) - 3/8 (6) =

40/48 - 18/48 =

22/48

or divide by 2 to simplify to 11/24

300

5/6 - 2/8 =

Less than 1?

Between 1 and 2?

Greater than 2?

5/6 - 2/8 = Less than 1

300

Jamie is making a candy salad for her friends. She starts by adding 3/4 pound of starbursts, 2/3 pound of skittles and 5/12 pound of jolly ranchers. How many pounds of candy does she have for her friends? Justify your solution with numbers or words.

3/4 + 2/3 + 5/12  =

3/4 (3) + 2/3 (4) + 5/12 =

9/12 + 8/12 + 5/12 =

22/12 = 1  10/12 OR 1  5/6

400

3  5/6 - 1  3/4 =

3  5/6 (4) - 1  3/4 (6) =

3  20/24 - 1  18/24 =

2  2/24 OR 2 1/12

400

2  5/6 - 1  3/4 =

Less than 1?

Between 1 and 2?

Greater than 2?

2  5/6 - 1  3/4 = Between 1 and 2

400

Jamie’s friend, Joe, accidentally spilled 6/10 of their 1 2/5 lbs of candy salad. How much candy salad do they have left? Is this amount more than a pound or less than a pound? Justify your solution with numbers or words.

1  2/5 (2) - 6/10 =

1  4/10 - 6/10 =

14/10 - 6/10 =

8/10 OR Simplified to 4/5

This is less than a pound. 

500

4  3/5 - 2  1/3 =

4  3/5 (3) - 2  1/3 (5) =

4  9/15 - 2  5/15 =

2  4/15

500

4  1/4 - 1  1/2 =

Less than 2?

Between 2 and 3?

Greater than 3?

4  1/4 - 1  1/2 = Between 2 and 3

500

Mikey rides his bike 2  3/4 kilometers from his home to the store. He rides his bike 3  1/3 kilometers from the store to the park. If he meets his friend for pizza 7/12 kilometers away, what is the total distance he traveled?

2  3/4 (3) + 3  1/3 (4) + 7/12 =

2  9/12 + 3  4/12 + 7/12 =

5  20/12 = 6  8/12 OR 6  2/3

Mikey rode his bike 6  2/3 kilometers.

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