Estimating
Whole # times a fraction
Fraction X Fraction
Write the equation
100

What are the benchmark fractions?

Common fractions that are easy to use when estimating.
100

14 X 2/3

28/3 or 9 1/3

100

5/6 X 1/4

5/24

100

Ms. Prace got a new phone. Her old phone weighed 3/9 ounces less than her new phone. Her new phone weighs 7 ounces. Write an equation to show how much her old phone weighs.

3/9 X 7 = w

200

What are the benchmark fractions for this equation:

3/5 X 1/9

1/2 and 0

200

8/9 of 5

4 4/9

200

8/11 X 5/9

40/99

200

Mrs. Sultan gave each of her 17 students 1/5 of a pie. How many pies did Mrs. Sultan buy?

17 x 1/5 = p

300

Estimate:


4 x 5/11

4 x 1/2 = 2

300

Jill had 36 candy bars. She ate 6/10 of them. How many candy bars did she eat?

6/10 X 36

216/10  or  21 6/10

300

6 3/4 X 3/4

(6 x 3/4) + (3/4 X 3/4)

4 1/2 + 9/16

4 8/16 + 9/16 = 4 17/16 or 5 1/16

300

Ms. Stanley took her dog to the park. While there, her dog played in the water for nearly 1/3 of the time. They were at the park for a total of 75 minutes. How many minutes did her dog spend not getting wet?

2/3 X 75 = m

400

Estimate: Carly wants to drive 5/6 of the way to school. Her school is 17 miles away. About how far does she want to drive?

5/6 x 17

1 X 17 = 17

She wants to drive about 17 miles

400

Josh has a 12 piece set of plates. Each plate weighs    1 2/8 of a pound. How much does the set of plates weigh?

12 x 1 2/8

12 x 1 = 1

12 X 2/8 = 3

3 + 1 = 4 pounds total

400

Find the area of rectangle with a length of 3 3/12 centimeters and a width of 5/6 centimeters.

3 3/12 X 5/6

(3 X 5/6) + (3/12 x 5/6)

15/6 + 15/72 

2 3/6 + 15/72

2 36/72 + 15/72 = 2 51/72


400

Mr. Perlman eats only 5/7 of his lunch each day. This happens every single school day for the entire year (173 days). How much lunch has he wasted this school year?

173 X 2/7 = L

500

Estimate:

Sears school is rewarding students by giving them books. Out of the 412 students who attend Sears, 9/17 of them received a book. Shana was one of those students and she ended up reading 3/7 of her 280 page book. About how many students received a book?

9/17 of 412

1/2 of 412 = about 206 students.

500

Leslie rides her bike to and from Starbucks each morning. It is 2 1/10 miles one way. She likes to have Starbucks each morning before school. How many miles did she ride if she had a full week of school.

2 1/10 + 2 1/10 = 4 2/10 (miles to and from Starbucks)

4 2/10 X 5 = (4 x 5) + (2/10 x 5) 

20 + 1 = 21 miles total

500

Bonus: 

4 3/5 X 7 1/2

(4 X 7) + (4 X 1/2) + (3/5 X 7) + (3/5 X 1/2)

28 + 2 + 4 1/5 + 3/10

28 + 2 + 4 2/10 + 3/10

34 1/2

500

All 3 5th grade classes got together for an end of the year picnic. Mrs. Sultan's class, Ms. Stanleys class, and 1/4 of Ms. Prace's class voted to go after lunch. Of those that voted to go after lunch, 1/2 of them wanted to play sports, 1/6 wanted to play with dolls, and 2/6 wanted to paint their nails. What fraction of the classes wanted to go after lunch and paint their nails?

2 1/4 X 2/6 = n