Simplifying Fractions
22/5 simplified is?
4 2/5
3 x 2/3
2
In fifth grade, 2/3 of the students like to play video games. Of these students, 1/4 of them like to play sports. Of the students who like to play sports, 1/5 of them like soccer.
Step 1:
What fraction of the students in the class like sports?
Step 2:
What fraction of the kids like sports AND soccer?
2/3 x 1/4 = 2/12 = 1/6 of the class likes to play sports (use this answer as the first step in solving the next problem)
1/6 x 1/5 = 1/30 like both sports and soccer
2 1/3 x 2 1/2
5 5/6
4 1/4 converted into an improper fraction is?
*Clue: multiply the denominator by the whole number and add the numerator.
17/4
What is 1/3 of 4?
(*This means 1/3 x 4)
1 1/3
Mrs. Lawrence has 2/3 tank of gas in her car. If she uses 1/2 of that gas to drive to a monster truck rally, how much gas will she have left?
1/3 of a tank of gas
4 4/5 x 2 1/2
12
89/9 simplified is?
9 8/9
Mrs. Culbertson has 5 pizzas. She's going to give 7/9 of her pizza to Mrs. Lawrence's class for being awesome. How much of Mrs. Culbertson's pizzas will Mrs. Lawrence's class get?
(*What is 5 x 7/9?)
Mrs. Lawrence's class will eat 3 8/9 of Mrs. Culbertson's pizza.
The first cake on the shelf weighs 2 2/3 pounds. A second cake weighs 1 3/4 times as much as the first cake. How much does the second cake weigh?
4 2/3 pounds
3 1/3 x 3 1/4
10 5/6
9 3/7 converted to an improper fraction is?
66/7
1/3 x 2 1/4
(Remember to convert the mixed number to an improper fraction before multiplying by 1/3)
9/12 = 3/4
Mr. Rouse has a large fish collection. He got out 9/14 of his fish. He fed 6/9 of those fish. What fraction of Mr. Rouse's fish were fed?
3/7
2 2/5 x 2 1/9
5 1/15
18/7
2 4/18 = 2 4/7
74/8 simplified to a mixed number is?
9 1/4
7 x 4/7
4
2 2/3 x 3 1/4 x 1 2/5=
12 2/15
4 7/9 x 4 2/3
22 8/27