Finish the following statement by filling in the blank.
Use the Least Common Multiple or LCM to __________
and __________ _____________?
Correct answer is...to COMPARE and ORDER FRACTIONS.
*When you use the LCM to compare and order fractions
you are actually finding equivalent fractions to compare
them easier*
100
Add the fractions. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
2/4 + 1/4 =
Correct SUM is... 3/4
Both of these fractions already had common denominators so you did not need to find the LCD.
100
ESTIMATE the SUM to the NEAREST WHOLE NUMBER.
5 5/6
+3 2/9
__________
Correct ESTIMATED SUM is...9
5 5/6 is about 6 6
3 2/9 is about 3 + 3
_______
9
100
Add the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
14 1/6
+ 2/3
_________
Correct SUM is...14 5/6
14 1/6 = 14 1/6 The LCD for 6 and 3 = 6
+ 2/3 = + 4/6
__________________
14 5/6 is already in simplest form.
100
Subtract the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
5 3/5
- 3 1/4
__________
Correct DIFFERENCE is...2 7/20
5 3/5 = 5 12/20 The LCD for 5 and 4 = 20
- 3 1/4 = - 3 5/20
__________________
2 7/20 is already in simplest form.
200
What is the LEAST COMMON MULTIPLE of 8 and 12?
Correct answer is...24
8, 16, 24
12, 24
200
Add the fractions. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
2/3 + 1/6 =
Correct SUM is...5/6
This fraction is already in simplest form!
200
ESTIMATE the DIFFERENCE to the NEAREST WHOLE NUMBER.
3 1/4
- 1 5/6
__________
Correct ESTIMATED DIFFERENCE is...1
3 1/4 is about 3 3
1 5/6 is about 2 - 2
_______
1
200
Add the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
5 1/8
+ 4 1/2
_________
Correct SUM is...9 5/8
5 1/8 = 5 1/8 The LCD for 8 and 2 = 8
+ 4 1/2 = + 4 4/8
__________________
9 5/8 is already in simplest form.
200
Subtract the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
9
- 7 5/8
__________
Correct DIFFERENCE is...1 3/8
9 = 8 8/8 Let's look below how 9 became 8 8/8
- 7 5/8 = - 7 5/8
__________________
1 3/8 is already in simplest form.
It is not possible to subtract 5/8 from nothing since there are 9 wholes and no fractional part.
SO
REGROUP 9 to become 8 8/8.
Using 8 as a denominator means the 5/8 and 8/8 already have common denominators.
THEN
Subtract the numerators first and then the whole numbers. Remember to keep the denominator the same in the answer.
Add the fractions. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
1/3 + 5/12 =
Correct SUM is...3/4
1/3 = 4/12
+5/12 = 5/12
__________
9/12 in simplest form is 3/4
GCF for 9/12 is 3
300
ESTIMATE the SUM to the NEAREST HALF.
5 3/6
+ 4 1/6
__________
Correct ESTIMATED SUM is...9 1/2
5 3/6 is about 5 1/2 5 1/2
4 1/6 is about 4 + 4
_______
9 1/2
300
Add the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
4 3/8
+ 2 1/4
_________
Correct SUM is...6 5/8
4 3/8 = 4 3/8 The LCD for 8 and 4 = 8
+ 2 1/4 = +2 2/8
__________________
6 5/8 is already in simplest form.
300
Subtract the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
5 2/5
- 3 7/8
__________
Correct DIFFERENCE is...1 21/40
The LCD of 5 and 8 = 40
5 2/5 = 5 16/40 Regroup 5 16/40 to 4 56/40
- 3 7/8 = - 3 35/40
__________________
1 21/40 is already in simplest form.
It is not possible to subtract the numerators 16 and 35.
SO
Regroup 5 16/40 to 4 56/40
Regroup by making 5 wholes to 4 wholes
AND
Add the denominator to the numerator
40 + 16
so the new numerator is 56
THEN
Subtract the numerators first and then the whole numbers. Remember to keep the denominator the same in the answer.
400
What is the LEAST COMMON MULTIPLE of 10, 6, 5, and 3?
Subtract the fractions. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
2/8 - 3/16 =
Correct DIFFERENCE is...1/16
2/8 = 4/16 The LCD for 8 and 16 = 16
- 3/16= 3/16
___________
1/16
This fraction is already in simplest form since the numerator is 1
400
ESTIMATE the SUM to the NEAREST HALF.
3 4/10
+ 1 1/12
__________
Correct ESTIMATED SUM is...4 1/2
3 4/10 is about 3 1/2 3 1/2
1 1/12 is about 1 + 1
_______
4 1/2
400
Add the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
2 1/4
+ 7/8
_________
Correct SUM is...3 1/8
2 1/4 = 2 2/8 The LCD for 4 and 8 = 8
+ 7/8 = + 7/8
__________________
2 9/8 BUT 9/8 is an IMPROPER FRACTION!
So convert 9/8 to a mixed number which is 1 1/8
THEN
ADD the 1 1/8 to 2 you had in your original sum.
1 1/8 + 2 = 3 1/8 as your correct SUM!
400
Subtract the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
3 3/12
- 1 5/12
_________
Correct DIFFERENCE is...1 5/6
The LCD is already 12
3 3/12 = 2 15/12 Regroup 3 3/12 to 2 15/12
- 1 5/12 = - 1 5/12
__________________
1 10/12 in simplest form is 1 5/6
It is not possible to subtract the numerators 3 and 5.
SO
Regroup 3 3/12 to 2 15/12
Regroup by making 3 wholes to 2 wholes
AND
Add the denominator to the numerator
12 + 3
so the new numerator is 15
THEN
Subtract the numerators first and then the whole numbers. Remember to keep the denominator the same in the answer.
500
Our class is having a spring party and we need food! Hotdogs come in packages of 8 and hotdog rolls come in packages of 10.
What is the LEAST NUMBER of packages of hotdogs and hotdog rolls that we need to buy in order to have the SAME number of hotdogs and hotdog rolls?
Correct answer is...5 Packages of hotdogs and 4 packages of hotdog rolls.
Hotdogs 8, 16, 24, 32, 40
Hotdog Rolls 10, 20, 30, 40
500
Subtract the fractions. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
4/5 - 6/10 =
Correct DIFFERENCE is...1/5
4/5 = 8/10 The LCD for 5 and 10 = 10
- 6/10 = 6/10
____________
2/10 = 1/5 in simplest form
The GCF of 2/10 is 2
500
ESTIMATE the DIFFERENCE to the NEAREST HALF.
5 4/8
- 2 10/13
__________
Correct ESTIMATED DIFFERENCE is...2 1/2
5 4/8 is about 5 1/2 5 1/2
2 10/13 is about 3 - 3
_______
2 1/2
500
Add the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
1 3/8
1 1/4
+ 3/4
___________
Correct SUM is...3 3/8
1 3/8 = 1 3/8 The LCD for 8 and 4 = 8
1 1/4 = 1 2/8
+ 3/4 = 6/8
__________________
2 11/8 BUT 11/8 is an IMPROPER FRACTION!
So convert 11/8 to a mixed number which is 1 3/8
THEN
ADD the 1 3/8 to 2 you had in your original sum.
1 3/8 + 2 = 3 3/8 as your correct SUM!
500
Subtract the Mixed Numbers. Always write the problem vertical or UP AND DOWN before beginning to solve it.
ALL ANSWERS MUST BE IN SIMPLEST FORM!!
21 5/16
- 18 3/4
__________
Correct DIFFERENCE is...2 9/16
21 5/16 = 21 5/16 The LCD for 16 and 4 = 16
- 18 3/4 = - 18 12/16
__________________
2 9/16 is already in simplest form.
It is not possible to subtract the numerators 5 and 12.
SO
Regroup 21 5/16 to 20 21/16
Regroup by making 21 wholes to 20 wholes
AND
Add the denominator to the numerator
16 + 5
so the new numerator is 21
THEN
Subtract the numerators first and then the whole numbers. Remember to keep the denominator the same in the answer.