Fractions1

Question 1

Adding fractions with same denominator
5/9+1/9 = 6/9
Can you reduce the fraction (simplify)?

Answer 1

2/3

Question 2

Adding three fractions:
1.  Find the common denominator
1/12 + 2/9 + 5/6 =
12, 24, 36
9, 18, 27, 36
6, 12, 18, 24, 30, 36
The common denominator is?

Answer 2

36

Question 3

2. Rename the fraction (with new denominator)
/36 = /36 = /36
1/12 becomes 3/36,
2/9 becomes 8/36,
5/6 becomes 30/36
Equation becomes 3/36+8/36+30/36 = ?

3. Add the fraction

Answer 3

3/36+8/36+30/36 = 41/36

Question 4

Three types of fractions:
Proper 1/4
Mixed 1  1/3
Improper  8/3
What is an example of each fraction?

Answer 4

Mixed?
Improper?
Proper?

Question 5

4. Simplify 41/36 (how many times does 36 go into 41?)

Answer 5

1 5/36 (mixed fraction)

Question 6

Equivalent fractions: Rules
24/40=?/5=4/?
1. Initially ignore middle fraction (How do we get from 24 to 48). (Do the same to bottom and top)
2. After you’ve solved other fractions, forget what you did (because it’s now a new fraction and may be a new operation).
3. How do we get from 40 to 5? (Do the same to bottom and top)

Answer 6

24/40=3/5=4/80

x2

Question 7

Equivalent fractions are same result after simplification for which they represent the same portion of the whole. Examples are?

Answer 7

2/4, 1/2
3/6, 1/2
3/9, 1/3

Question 8

Subtracting fractions (same denominator)
6/8 - 2/8 = 4/8
Reduce the fraction (simplify)?

Answer 8

1/2

Question 9

Subtracting fractions (same denominator)
31/43 - 19/43= ?

Answer 9

12/43

Question 10

Converting Mixed fractions 3 2/5 to Improper fraction
1. Multiply the whole number by denominator
2. Add that to numerator
3. Write result on top of denominator
Answer?

Answer 10

3x5=15
15+2=17
Improper fraction is: 17/5

Question 11

Convert mixed to improper fraction

2 1/9

Answer 11

2 x 9 = 18
18+1=19
19/9

Question 12

Convert Improper 11/4 to Mixed fraction:
1.  Divide the numerator by the denominator
2. Write whole number answer
3. Write remainder above denominator
Convert 11/4 to a mixed fraction

Answer 12

2 3/4

Question 13

Convert Improper 10/3 to a mixed fraction

Answer 13

3 1/3

Question 14

Equivalent fractions: 
1. What's happening to top and bottom and apply the same thing (/ or x) (can be different / or x per fraction)
Solve:   
64/80 = ?/10 = 128/?
* All these fractions are the same

Answer 14

64/80 = 8/10 = 128/160

Question 15

Simplify 10/24
What factors go into both numbers?
Reduce the fraction:

Answer 15

Factor that goes into both is 2.

Reduce fraction to 5/12

Question 16

Simplify 10/24
What factors go into both numbers?
Reduce the fraction:

Answer 16

Factor that goes into both is 2.

Reduce fraction to 5/12

Question 17

Multiplying fractions
(multiply top and bottom and reduce fraction)
2/5x3/4=6/20
Now simplify:

Answer 17

3/10

Question 18

Dividing fractions (keep change flip)
3/8  /  6/10=
1.  Keep, change, flip
becomes 'keep' 3/8  'change' x 'flip' 6/10
3/8*10/6=30/48
and simplify=

Answer 18

15/

Question 19

Dividing fractions 
1. (Keep, change, flip)
1/2 / 3/4
2. Cancel out if poss
3.  and simplify it!

Answer 19

1/2 x 4/3=4/6, simplified to 2/3

Question 20

Adding a fraction - same denominator
6/12 + 4/12 = 10/12
Simplify =?

Answer 20

5/6

Question 21

Adding three fractions - same denominator
7/18+9/18+14/18=?
then simplify by /

Answer 21

1 12/18, simplified to 1 2/3

Question 22

Adding two fractions - different denom
3/4 = 7/16
1.  Find the common denom
2. Rename the fraction (may only need to rename one, leave other as is)
3.  Add the fraction
4.  Simplify
Answer?

Answer 22

19/16 or 1 3/16

Question 23

Adding two fractions - different denom
1.  Find the common denom
2. Rename the fraction (may only need to rename one, leave other as is)
3. Add the fraction
Solve:  1/3 + 3/4

Answer 23

1 1/12

Question 24

Adding two fractions - different denom
1.  Find the common denom
2. Rename the fraction (may only need to rename one, leave other as is)
3. Add the fraction
Solve:  1/4 + 2/3 +?

Answer 24

Answer is 1/12

Question 25

What is a reciprocal? for 1 3/7?

Answer 25

7/10 (solve mixed fraction and make it improper and flip it)