Answer:
3 3/5 + 1 1/4 = <u>4 17/20</u>
7/8 + 1/12 =<u> 23/24</u>
8/9 - 2/5 = <u>22/45</u>
5 1/4 - 2 2/3 = <u>2 7/12</u>
Step-by-step explanation:
3 3/5 + 1 1/4
First convert into improper fractions
= 18/5 + 5/4
Now find the common denominator
72/20 + 25/20 =
97/20
Now simplify
4 17/20
<u>Next problem:</u>
7/8 + 1/12
find the common denominator
21/24 + 2/24 =
23/24
<u>Next problem:</u>
8/9 - 2/5
find the common denominator
40/45 - 18/45 =
22/45
<u>Next problem:</u>
5 1/4 - 2 2/3
First convert into improper fractions
21/4 - 8/3
find the common denominator
63/12 - 32/12 =
31/12
Now simplify
2 7/12
1) Convert the mixed number 8 and 2/13 into a fraction:
8 and 2/13 = 8 + 2/13 = (8*13 + 2) / 13 = 106 / 13
2) Calculate 4/5 of 106 / 13
(4 / 5) * ( 106 / 13) = (4*106) / (5*13) = 424 / 65
That is (390 + 34) / 65 = 390/65 + 34/65 = 6 + 34/65 is painted white
3) Calculate the rest
(1/5) * (106 / 13) = 106 / 65 = 1 + 41/65 is painted blue
The answer is 5. this can be found by creating a factor tree of both numbers
