Simplify/Reduce
Write Mixed Numbers
Multiples and Factors
Add/Sub Fractions
Word Problems
100
6/10
3/5 Factors: 6- 1 and 6, 2 and 3 10- 1 and 10, 2 and 5 common- 2 6 divided by 2= 3 (numerator) 10 divided by 2= 5(denominator) 3/5
100
16/9
1 7/9 There is one 'set' of 9 in 16 with 7 left over. X(1) X(2) X(3) X(4) X(5) X(6) X(7) X(8) X(9) = 1 WHOLE X(10) X(11) X(12) X(13) X(14) X(15) X(16)= 7 LEFT OVER
100
Find the Least Common Multiple of 3, 8, and 12
24 3, 6, 9, 12, 15, 18, 21, 24 8, 16, 24 12, 24
100
3/10 + 1/2=
4/5 LCM= 10 1/2= 5/10 3/10 + 5/10 = 8/10 (reduce) 8 divided by 2 = 4 (numerator) 10 divided by 2 = 5(denominator) 4/5= 8/10
100
Approximately 1/5 of the worlds population lives in China. The people of India make up about 1/6 of the world's population. What fraction of the world's people live in China or India?
11/30 China= 1/5 India= 1/6 We want to know the total fraction of people living in both China and India. So we need to add 1/5 + 1/6 LCM= 30 5, 10, 15, 20, 25, 30 6, 12, 18, 24, 30 1/5 = 6/30 1/6 = 5/30 6/30 + 5/30 = 11/30 (can not reduce)
200
15/17
15/17 Factors: 15- 1 and 15, 3 and 5 17- 1 and 17 (prime number) no common factors can not simplify.
200
14/5
2 4/5 There are two "sets" of 5 in 14 with 4 leftover. X X X X X =5X'S =1WHOLE(5) X X X X X= 5X'S =1WHOLE (10) X X X X=4X'S = 4 LEFTOVER (10 + 4 = 14)
200
Find the Common Factors of 10 and 35
5 10- 1 and 10, 2 and 5 35- 1 and 35, 5 and 7
200
4/5 - 1/3=
7/15 LCM= 15 3, 6, 9, 12, 15 5, 10, 15 4/5 = 12/15 1/3= 5/15 12/15- 5/15= 7/15 (can not reduce)
200
A trailer hauling wood weighs 2/3 ton. The trailer weighs 1/4 ton without the wood. What is the weight of the wood?
5/12 ton This question wants to know the weight of the wood. I know the total weight of the trailer with the wood and the weight of the trailer without the wood. If I subtract these two weights, I will find the weight of the wood. 2/3 - 1/4= LCM= 12 3, 6, 9, 12 4, 8, 12 2/3 = 8/12 1/4 = 3/12 8/12 - 3/12= 5/12 (can not reduce)
300
5/15
1/3 Factors: 5- 1 and 5, 1- 1 and 15, 3 and 5 Common- 5 5 divided by 5 = 1(numerator) 15 divided by 5 =3(denominator) 1/3
300
11/4
2 3/4 There are 2 sets of 4 in 11 with 3 leftover. X X X X= 4X'S = 1 WHOLE (4) X X X X= 4 X'S = 1 WHOLE (8) X X X= 3X'S = 3 LEFTOVER (8 + 3 = 11)
300
Find the Least Common Multiple of 4, 6, and 12
12 4, 8, 12 6, 12 12
300
1/6 + 2/9 =
7/18 LCM=18 6, 12, 18 9, 18 1/6= 3/18 2/9= 4/18 3/18 + 4/18= 7/18 (can not reduce)
300
Approximately 36 outof 40 firefighters work in city or county fire departments. What is the fraction of firefighters who work in city or county fire departments? (hint: remember to reduce)
9/10 First find the fraction of Firefighters= 36/40. I know that I can reduce so I am going to find the common factors of 36 and 40. 36- 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6 40- 1 and 40, 2 and 20, 4 and 10, 5 and 8 common factors= 2, 4 (four is larger so I choose to reduce using 4) 36 divided by 4 = 9 (numerator) 40 divided by 4 = 10 (denominator) Therefore 36/40 = 9/10
400
8/12
2/3 Factors: 8- 1 and 8, 2 and 4, 12- 1 and 12, 2 and 6, 3 and 4 Common- 4 8 divided by 4= 2(numerator) 12 divded by 4= 3(denominator) 2/3
400
32/7
4 4/7 There are 4 "Sets" of 7 in 32 with 4 leftover. X X X X X X X= 7X'S = 1 WHOLE (7) X X X X X X X= 7X'S = 1 WHOLE (14) X X X X X X X= 7X'S = 1 WHOLE (21) X X X X X X X= 7X'S = 1 WHOLE (28) X X X X= 4X'S= 4 LEFTOVER (28 + 4= 32)
400
Find the common factors 18, 24, and 36
6 18- 1 and 18, 2 and 9, 3 and 6 24- 1 and 24, 2 and 12, 3 and 8, 4 and 6 36- 1 and 36, 2 and 18, 3 and 12, 4 and 9, 6 and 6
400
7/8 - 2/3=
5/24 LCM= 24 3, 6, 9, 12, 15, 18, 21,24 8, 16, 24, 7/8 = 21/24 2/3 = 16/24 21/24 - 16/24= 5/24 (can not reduce)
400
A recipe calls for 1/4 cup of brown sugar and 2/3 cup of granulated sugar. What is total amount of sugar needed?
11/12 cups of sugar The question is asking for the TOTAL amount of sugar needed so I know I am going to have to add 1/4 and 2/3. LCM= 12 3, 6, 9, 12 4, 8, 12 1/4 = 3/12 2/3 = 8/12 3/12 + 8/12 = 11/12 (can not reduce)
500
33/121
3/11 Factors: 33- 1 and 33, 3 and 11 121- 1 and 121, 11 and 11 Common-11 33 divided by 11= 3 (numerator) 121 divided by 11= 11(denominator) 3/11
500
47/12
3 11/12 There are 3 "sets" of 12 in 47 with 11 left over X X X X X X X X X X X X= 12X'S= 1WHOLE (12) X X X X X X X X X X X X= 12X'S= 1WHOLE (24) X X X X X X X X X X X X= 12X'S= 1WHOLE (36) X X X X X X X X X X X= 11X'S= 11LEFTOVER (36 + 11= 47)
500
Find the Least Common Multiple of 2, 3, 6, and 9
18 2, 4, 6, 8, 10, 12, 14, 16, 18 3, 6, 9, 12, 15, 18 6, 12, 18 9, 18
500
1/2 + 1/4 + 1/20
4/5 LCM=20 2, 4, 6, 8, 10, 12, 14, 16, 18, 20 4, 8, 12, 16, 20, 20 1/2= 10/20 1/4= 5/20 1/20= 1/20 10/20 + 5/20 + 1/20 = 16/20 (simplfy/reduce) 16 and 20 can be divided evenly by 2 and 4 so I choose 4 because it is larger 16 divided by 4 = 4 (numerator) 20 divided by 4 = 5(demoninator) 4/5
500
Suppose you have 3/4 pound of cooked salmon. You eat 1/8 pound for dinner. How much salmon do you have leftover?
5/8 pound of salmon The question is asking for how much leftover which makes me think of subtraction. So my problem would be 3/4 - 1/8 = LCM= 8 4, 8 8 3/4 = 6/8 1/8 = 1/8 6/8 - 1/8 = 5/8 (can not reduce)
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