Answer:
<h3>Reciprocals are: </h3>
1) 10 1/2 = 21/2
Reciprocal will be 2/21
2) 6 3/7 = 45/7
Reciprocal will be 7/45
3) 2 8/9 = 26/9
Reciprocal will be 9/26
4) 15 1/4 = 61/4
Reciprocal will be 4/61
5) 9 2/3 = 29/3
Reciprocal will be 3/29
6) 7 5/8 = 61/8
Reciprocal will be 8/61
<h3>Divide</h3>
7) 8/10 divide by 1 5/6
8/10 divide by 11/6
or 8/10 * 6/11
4/5* 6/11
24/55
8) 2 divides by 1 6/7
2 divides by 13/7
2 * 7/13
14/13
1 1/13
9) 3 3/5 divides by 2 1/4
18/5 divides by 9/4
18/5 * 4/9
8/5
1 3/5
10) 4 1/2 divides by 2 3/8
9/2 divides by 19/8
9/2 * 8/19
36/19
1 17/19
11) 5 5/6 divides by 3 1/6
35/6 divides by 19/6
35/6 * 6/19
35/19
1 16/19
12) 11/12 divides by 2 5/8
11/12 divides by 21/8
11/12 * 8/21
22/63
13) 1 9/13 divides by 3/8
22/13 divides by 3/8
22/13 * 8/3
176/39
4 20/39
14) 6 4/5 divides by 3 2/9
34/5 divides by 29/2
34/5 * 2/29
68/145
15) 9 2/3 divides by 6 8/9
29/3 divides by 62/9
87/62
1 25/69
<h3>Division problem</h3>
Width of patio = 5 2/3 feet
Area of patio = 36 5/6 sq. feet
Length will be: area /width
36 5/6 divides by 5 2/3
221/6 divides by 17/3
221/6 * 3/17
13/2
6 1/2 feet
Length is 6 1/2 feet, that means we can place the concrete patio on a 7 foot picnic table.
17) Area of mirror = 225 sq. inches
Width of mirror = 13 3/4 inches.
Length of mirror will be=area/ width
225 divides by 13 3/4
225 divides by 55/4
225 * 4/55
180/11
16 4/11
The width of mirror will be 16 4/11 feet. It is greater than 16 feet. Therefore mirror can't be fit in a space of 15 inches by 16 inches.
18) Total length of fabric = 16 1/5 yards
One fabric piece size= 5 2/5
Number of fabric pieces will be= total length/ 1 fabric length
16 1/5 divides by 5 2/5
81/5 divides by 27/5
81/5*5/27
3
There will be total 3 pieces of size 5 2/5 yards.
, we have for 
the Taylor series expansion about 0 as
with 
, so that the series is equivalent to
, we have
