Page 24 - Mathematics

(c) Divide 5 by 33 by long division or by a calculator to get
0.151515151515  . Note that in the answer, 1 and 5 repeats as you
5
 
proceed to divide. Therefore, = 0.15 or 0.15.
17 387 33
(d) Divide by long division or by a calculator to obtain
909

19.127612761276 
Note that in the answer, the digits 1, 2, 7, and 6 repeats as you
proceed to divide.

17 387


Therefore, = 1 .19 27 6 or 19.1276.
909
Tanzania Institute of Education
Example 2.8

1. Convert each of the following mixed fractions into decimals.
5 37 1
(a) 1 (b) 1 (c) 9
9 45 6

Solution
5
(a) Given 1.
9
5
Converting the mixed fraction into improper fraction gives, 1 = 14

Dividing 14 by 9 using the long division method gives 1.5. 9 9
5

Therefore, 1 = 1.5.
9
37
(b) Given 1 .
45
Converting the mixed fraction into improper fraction gives, 1 37 = 82
45
45

Dividing 82 by 45 using the long division method gives 1.82.
37

Therefore, 1 45 = 1.82.
Mathematics Form One (c) Given 9. 1 9.16.  1 55 .
1
6
Converting the mixed fraction into improper fraction gives, 9 =
6
6
Divide 55 by 6 using the long division method to get 9.16.

Therefore, 9 =
6

18

25/10/2024 09:51:05
Mathematics form 1.indd 18 25/10/2024 09:51:05
Mathematics form 1.indd 18