Adding & Subtracting Like Fractions
What is 1/10 + 3/10?
4/10
Using models what is 2/3 + 2/3?
Answer should have four boxes. two boxes representing 2/3's = one whole box shaded and 1/3 box shaded
Model using a number line. 2/3 + 2/3
Benchmarks 0 & 2. Hop from 0 to 2/3 and a hop from 2/3 to 4/3 OR 1 1/3.
2/3 + 1/9= what is the lowest common denominator?
1/4 + 1/3 + 3/4=?
1/4 + 3/4= 1
1 + 1/3 = 1 1/3
What is 3/8 - 1/8?
2/8
What is 1/2 + 1/3?
1/2 + 1/3 = 5/6 model should represent the equation
Number line should show benchmarks 0 & 1. Hop three spaces to the left from 7/9 to to 4/9.
What is 2/3 + 1/9=?
6/9 + 1/9 = 7/9
John used 1 3/4 pounds of salt to melt the ice on the sidewalk. He then used another 3 4/5 pounds on the driveway. If he originally bought 10 pounds of salt, how much does he have left?
Add 1 3/4 lbs. + 3 4/5 lbs. Then subtract sum from 10 lbs.
John will have 4 9/20 lbs. of salt left.
What is the sum of two fifths and one fifth? (in word form)
three fifths
What is 2/3 - 1/6?
The model should show the equation 2/3- 1/6= 12/18 - 3/18 = 9/18 or 1/2
What is 7 2/6 + 5/6=?
Hop +7 wholes, hop + 2/6, hop +5/6= 8 1/6
A farmer harvested 3/8 of a pecan crop on Friday and 1/3 of the corp on Saturday. What fraction of the pecan crop was harvested in the two days?
3/8 + 1/3= 9/24 + 8/24 =17/24 Sentence: The fraction of the pecan crop was harvested in the two days was 17/24.
Gavin had 20 minutes to do a three-problem quiz. He spent 9 3/4 minutes on Problem 1 and 3 4/5 minutes on Problem 2. How much time did he have left for Problem 3? Write the answer in minutes and seconds.
9 3/4 min + 3 4/5 min= ?
Then subtract sum from total 20 min. to equal how much time Gavin had left to answer Problem 3. = 6 9/20 Finally, convert into min & sec. 1 min=60 sec. 6 9/20= 6 27/60 therefore 6 min & 27 sec.
Gavin had 6 min and 27 sec to complete Problem 3.
What is the difference of six ninths and three ninths? (in words)
three ninths
A female Cuban tree frog can be up to 5/12 foot long. A male Cuban tree frog can be up to 1/4 foot long. How much longer is the female Cuban tree frog than the male?
3 1/6 - 1 1/3= ?
1/3= 2/6
3 1/6- 1 2/6= (regroup) 2 (6/6 +1/6)= 2 7/6
2 7/6- 1 2/6 = 1 5/6
Start at 3 1/3= 2 7/6 hop left 1 whole = 1 7/6 then hop left 2/6= 1 5/6
7 3/12- 4 4/6=?
7 3/12- 4 8/12 (regroup)= 6 (12/12 + 3/12) - 4 8/12= 6 15/12 - 4 8/12 =2 7/12
DeAngelo needs 100 kg of garden soil to landscape a building. In the company's storage area, he finds 2 cases holding 24 3/4 kg of garden soil each, and the third case holding 19 3/8 kg. How much gardening soil does DeAngelo still need in order to do the job?
(24 3/4 + 24 3/4 + 19 3/8) - 100 kg=
31 1/8 kg still needed
DeAngelo still needs 31 1/8 kg in order to do the job.
It rained two eighths of an inch in one hour. It rained twice as much in the next hour. What is the total amount of rain in two hours?
It rained six eighths in two hours.
Sherman's backpack weighs 6 1/4 pounds. Brie's backpack weighs 5 3/4 pounds. How much heavier is Sherman's backpack than Brie's backpack?
6 1/4 (regroup) = 5 (4/4 + 1/4)
5 5/4 - 5 3/4= 2/4
Show start on 6 1/4 hop back 5 wholes = 1 1/4 then hop back 3/4 landing on 2/4 Sentence: Sherman's backpack is 2/4 pounds heavier.
Rosa jogged 10 6/32 miles in one week. The next week she jogged 8 7/16 miles. How many more miles did she jog the first week?
10 6/32 - 8 7/16= ?
8 7/16= 8 14/32
10 6/32 - 8 14/32= (regroup) 9 (32/32 + 6/32)- 8 14/32= 9 38/32 - 8 14/32= 1 24/32 OR 1 6/8 OR 1 3/4